A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Question
Chapter 5.4, Problem 76E
To determine
The time in seconds for a pendulum that swings back and forth.
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- Suppose that you have the differential equation:
dy
= (y - 2) (y+3)
dx
a. What are the equilibrium solutions for the differential equation?
b. Where is the differential equation increasing or decreasing? Show how you know.
Showing them on the drawing is not enough.
c. Where are the changes in concavity for the differential equation? Show how you
know. Showing them on the drawing is not enough.
d. Consider the slope field for the differential equation. Draw solution curves given the
following initial conditions:
i. y(0) = -5
ii. y(0) = -1
iii. y(0) = 2
5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force
of F(t)=10 sin () and moves in a medium that gives a damping coefficient of ½. If the mass
is set in motion with an initial velocity of 3 and is stretched initially to a length of 5. (I
purposefully removed the units- don't worry about them. Assume no conversions are
needed.)
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c) Characterize the damping of the spring mass system as overdamped, underdamped or
critically damped. Explain how you know.
D.E. for Spring Mass Systems
k
m* g = kLo
y" +—y' + — —±y = —±F(t), y(0) = yo, y'(0) = vo
m
2
A₁ = √c₁² + C₂²
Q = tan-1
4. Given the following information determine the appropriate trial solution to find yp. Do not
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a) (D-4)2(D+ 2)y = 4e-2x
b) (D+ 1)(D² + 10D +34)y = 2e-5x cos 3x
Chapter 5 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...Ch. 5.1 - In Exercises 110, fill in the blanks with an...
Ch. 5.1 - In Exercises 11 and 12, use the sieve of...Ch. 5.1 - In Exercises 11 and 12, use the sieve of...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 1326, determine whether the statement...Ch. 5.1 - In Exercises 2732, determine whether the number is...Ch. 5.1 - In Exercises 2732, determine whether the number is...Ch. 5.1 - In Exercises 2732, determine whether the number is...Ch. 5.1 - In Exercises 2732, determine whether the number is...Ch. 5.1 - In Exercises 2732, determine whether the number is...Ch. 5.1 - In Exercises 2732, determine whether the number is...Ch. 5.1 - Determine a number that is divisible by 2, 3, 4,...Ch. 5.1 - Determine a number that is divisible by 3, 4, 5, 9...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 4554, find (a) the greatest common...Ch. 5.1 - In Exercises 4554, find (a) the greatest common...Ch. 5.1 - In Exercises 4554, find (a) the greatest common...Ch. 5.1 - In Exercises 4554, find (a) the greatest common...Ch. 5.1 - In Exercises 4554, find (a) the greatest common...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - In Exercises 3544, find the prime factorization of...Ch. 5.1 - Problem Solving 55. Lawn Maintenance Brenda cuts...Ch. 5.1 - U.S. senate committees The U S Senate consists or...Ch. 5.1 - Setting Up Chairs Jerrett is setting up chairs for...Ch. 5.1 - Barbie and Ken Mary collects Barbie dolls are Ken...Ch. 5.1 - Toy Car Collection Martha collects Matchbox and...Ch. 5.1 - Stacking Trading Cards Desmond collects trading...Ch. 5.1 - Tree Rows Elizabeth Is the manager at Queen Palm...Ch. 5.1 - Car Maintenance For many sport utility vehicles,...Ch. 5.1 - Work Schedules Sara and Harry both work the same...Ch. 5.1 - Landscape Trimming Blanca trims her palm trees...Ch. 5.1 - Relatively Prime Two numbers with a greatest...Ch. 5.1 - Determine the next two sets of twin primes that...Ch. 5.1 - Determine the first five Mersenne prime numbers.Ch. 5.1 - Determine the first three Fermat numbers and...Ch. 5.1 - Show that Goldbachs conjecture is true for the...Ch. 5.1 - State a procedure that defines a divisibility test...Ch. 5.1 - State a procedure that defines a divisibility test...Ch. 5.1 - In Exercises 7378, use the Euclidean algorithm to...Ch. 5.1 - In Exercises 7378, use the Euclidean algorithm to...Ch. 5.1 - In Exercises 7378, use the Euclidean algorithm to...Ch. 5.1 - In Exercises 7378, use the Euclidean algorithm to...Ch. 5.1 - In Exercises 7378, use the Euclidean algorithm to...Ch. 5.1 - In Exercises 7378, use the Euclidean algorithm to...Ch. 5.1 - Determine which, if any, of the following numbers...Ch. 5.1 - Determine which, if any, of the following numbers...Ch. 5.1 - Determine which, if any, of the following numbers...Ch. 5.1 - Determine which, if any, of the following numbers...Ch. 5.1 - Number of Factors The following procedure can be...Ch. 5.1 - Recall that if a number is divisible by both 2 and...Ch. 5.1 - The product of any three consecutive natural...Ch. 5.1 - A number in which each digit except 0 appears...Ch. 5.1 - Use the fact that if a|b and a|c, then a| (b + c)...Ch. 5.1 - Show that 2n 1 is a (Mersenne) prime for n = 2,...Ch. 5.1 - Goldbach also conjectured in his letter to Euler...Ch. 5.1 - Divisibility by Seven The following describes a...Ch. 5.1 - Prime Numbers consider the first eight prime...Ch. 5.2 - In Exercises 14, fill in the blanks with an...Ch. 5.2 - In Exercises 14, fill in the blanks with an...Ch. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - In Exercises 5 and 6, insert either or in the...Ch. 5.2 - In Exercises 5 and 6, insert either or in the...Ch. 5.2 - In Exercises 710, write the numbers in increasing...Ch. 5.2 - In Exercises 710, write the numbers in increasing...Ch. 5.2 - In Exercises 710, write the numbers in increasing...Ch. 5.2 - In Exercises 710, write the numbers in increasing...Ch. 5.2 - In Exercises 1118, evaluate the expression. 11. 3...Ch. 5.2 - In Exercises 1118, evaluate the expression. 12. 5...Ch. 5.2 - In Exercises 1118, evaluate the expression. 13. 10...Ch. 5.2 - In Exercises 1118, evaluate the expression. 14. 5...Ch. 5.2 - In Exercises 1118, evaluate the expression. 15. 6...Ch. 5.2 - In Exercises 1118, evaluate the expression. 16. 2...Ch. 5.2 - In Exercises 1118, evaluate the expression. 17....Ch. 5.2 - In Exercises 1118, evaluate the expression. 18. 8...Ch. 5.2 - In Exercises 1926, evaluate the expression. 19. 3 ...Ch. 5.2 - In Exercises 1926, evaluate the expression. 20. 3 ...Ch. 5.2 - In Exercises 1926, evaluate the expression. 21. 6 ...Ch. 5.2 - In Exercises 1926, evaluate the expression. 22. 9 ...Ch. 5.2 - In Exercises 1926, evaluate the expression. 23. 5 ...Ch. 5.2 - In Exercises 1926, evaluate the expression. 24. 4...Ch. 5.2 - In Exercises 1926, evaluate the expression. 25. 14...Ch. 5.2 - In Exercises 1926, evaluate the expression. 26. 8 ...Ch. 5.2 - In Exercises 2734, evaluate the expression 27. 7 ...Ch. 5.2 - In Exercises 2734, evaluate the expression 28. 8...Ch. 5.2 - In Exercises 2734, evaluate the expression 29. (9)...Ch. 5.2 - In Exercises 2734, evaluate the expression 30. 6...Ch. 5.2 - In Exercises 2734, evaluate the expression 31. (...Ch. 5.2 - In Exercises 2734, evaluate the expression 32. 4...Ch. 5.2 - In Exercises 2734, evaluate the expression 33. (5 ...Ch. 5.2 - In Exercises 2734, evaluate the expression 34. (9)...Ch. 5.2 - In Exercises 2734, evaluate the expression 35. 16 ...Ch. 5.2 - In Exercises 3542, evaluate the expression. 36. 54...Ch. 5.2 - In Exercises 3542, evaluate the expression. 37.Ch. 5.2 - In Exercises 3542, evaluate the expression. 38.Ch. 5.2 - In Exercises 3542, evaluate the expression. 39....Ch. 5.2 - In Exercises 3542, evaluate the expression. 40....Ch. 5.2 - In Exercises 3542, evaluate the expression. 41....Ch. 5.2 - In Exercises 3542, evaluate the expression. 42....Ch. 5.2 - In Exercises 4350, evaluate the expression. 43. a....Ch. 5.2 - In Exercises 4350, evaluate the expression. 44. a....Ch. 5.2 - In Exercises 4350, evaluate the expression. 45. a....Ch. 5.2 - In Exercises 4350, evaluate the expression. 46. a....Ch. 5.2 - In Exercises 4350, evaluate the expression. 47. a....Ch. 5.2 - In Exercises 4350, evaluate the expression. 48. a....Ch. 5.2 - In Exercises 4350, evaluate the expression. 49. a....Ch. 5.2 - In Exercises 4350, evaluate the expression. 50. a....Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - In Excercises 5160, evaluate the expression using...Ch. 5.2 - Prob. 61ECh. 5.2 - Dow Jones Industrial Average On October 1, 2014,...Ch. 5.2 - Elevation Difference Mount Whitney, in the Sierra...Ch. 5.2 - Extreme Temperatures The hottest temperature ever...Ch. 5.2 - Time Zone Calculations Part of a World Standard...Ch. 5.2 - Bus Stops A city bus currently has 23 people on...Ch. 5.2 - In Exercises 6776, determine whether the statement...Ch. 5.2 - In Exercises 6776, determine whether the statement...Ch. 5.2 - In Exercises 6776, determine whether the statement...Ch. 5.2 - In Exercises 6776, determine whether the statement...Ch. 5.2 - In Exercises 6776, determine whether the statement...Ch. 5.2 - In Exercises 6776, determine whether the statement...Ch. 5.2 - In Exercises 67-76, determine whether the...Ch. 5.2 - Prob. 74ECh. 5.2 - Prob. 75ECh. 5.2 - Prob. 76ECh. 5.2 - Prob. 77ECh. 5.2 - Prob. 78ECh. 5.2 - Prob. 79ECh. 5.2 - Pentagonal Numbers Triangular numbers and square...Ch. 5.2 - Prob. 81ECh. 5.2 - Prob. 82ECh. 5.3 - In Exercises 14, fill in the blanks with an...Ch. 5.3 - In Exercises 14. fill in the blanks with an...Ch. 5.3 - In Exercises 14. fill in the blanks with an...Ch. 5.3 - In Exercises 14, fill in the blanks with an...Ch. 5.3 - In Exercises 14, fill in the blanks with an...Ch. 5.3 - In Exercises 14. fill in the blanks with an...Ch. 5.3 - In Exercises 14, fill in the blanks with an...Ch. 5.3 - Prob. 8ECh. 5.3 - Prob. 9ECh. 5.3 - In Exercises 14, fill in the blanks with an...Ch. 5.3 - In Exercises 1116, reduce each fraction to lowest...Ch. 5.3 - In Exercises 1116, reduce each fraction to lowest...Ch. 5.3 - In Exercises 1116, reduce each fraction to lowest...Ch. 5.3 - In Exercises 1116, reduce each fraction to lowest...Ch. 5.3 - In Exercises 1116, reduce each fraction to lowest...Ch. 5.3 - In Exercises 1116, reduce each fraction to lowest...Ch. 5.3 - In Exercises 17-22, convert each mixed number to...Ch. 5.3 - In Exercises 17-22, convert each mixed number to...Ch. 5.3 - In Exercises 17-22, convert each mixed number to...Ch. 5.3 - In Exercises 17-22, convert each mixed number to...Ch. 5.3 - In Exercises 17-22, convert each mixed number to...Ch. 5.3 - In Exercises 17-22, convert each mixed number to...Ch. 5.3 - In Exercises 23-26, write the number of inches...Ch. 5.3 - In Exercises 23-26, write the number of inches...Ch. 5.3 - In Exercises 23-26, write the number of inches...Ch. 5.3 - In Exercises 23-26, write the number of inches...Ch. 5.3 - In Exercises 27-32, convert each improper fraction...Ch. 5.3 - In Exercises 27-32, convert each improper fraction...Ch. 5.3 - In Exercises 27-32, convert each improper fraction...Ch. 5.3 - In Exercises 27-32, convert each improper fraction...Ch. 5.3 - In Exercises 27-32, convert each improper fraction...Ch. 5.3 - In Exercises 27-32, convert each improper fraction...Ch. 5.3 - In Exercises 33-40, express each rational number...Ch. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - In Exercises 33-40, express each rational number...Ch. 5.3 - Prob. 38ECh. 5.3 - In Exercises 33-40, express each rational number...Ch. 5.3 - Prob. 40ECh. 5.3 - In Exercises 41-48, express each terminating...Ch. 5.3 - In Exercises 41-48, express each terminating...Ch. 5.3 - In Exercises 41-48, express each terminating...Ch. 5.3 - In Exercises 41-48, express each terminating...Ch. 5.3 - In Exercises 41-48, express each terminating...Ch. 5.3 - In Exercises 41-48, express each terminating...Ch. 5.3 - In Exercises 41-48, express each terminating...Ch. 5.3 - In Exercises 41-48, express each terminating...Ch. 5.3 - In Exercises 49-56, express each repeating decimal...Ch. 5.3 - In Exercises 49-56, express each repeating decimal...Ch. 5.3 - In Exercises 49-56, express each repeating decimal...Ch. 5.3 - In Exercises 49-56, express each repeating decimal...Ch. 5.3 - In Exercises 49-56, express each repeating decimal...Ch. 5.3 - In Exercises 49-56, express each repeating decimal...Ch. 5.3 - In Exercises 49-56, express each repeating decimal...Ch. 5.3 - In Exercises 49-56, express each repeating decimal...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 57-66, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - In Exercises 67-76, perform the indicated...Ch. 5.3 - Alternative methods for adding and subtracting two...Ch. 5.3 - Alternative methods for adding and subtracting two...Ch. 5.3 - Alternative methods for adding and subtracting two...Ch. 5.3 - Alternative methods for adding and subtracting two...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 81-90, evaluate each expression using...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - In Exercises 91-102, write an expression that will...Ch. 5.3 - Traveling Interstate 5 While on vacation, Janet...Ch. 5.3 - Traveling Across Texas While on vacation, Omar...Ch. 5.3 - Cutting Lumber If a piece of wood 834 ft long was...Ch. 5.3 - Dimensions of a Room A rectangular room measures 8...Ch. 5.3 - Cooking Oatmeal Following are the instructions...Ch. 5.3 - Dense Set of Numbers A set of numbers is said to...Ch. 5.3 - Dense Set of Numbers A set of numbers is said to...Ch. 5.3 - Dense Set of Numbers A set of numbers is said to...Ch. 5.3 - Dense Set of Numbers A set of numbers is said to...Ch. 5.3 - Halfway Between Two Numbers To find a rational...Ch. 5.3 - Halfway Between Two Numbers To find a rational...Ch. 5.3 - Halfway Between Two Numbers To find a rational...Ch. 5.3 - Halfway Between Two Numbers To find a rational...Ch. 5.3 - Consider the rational number 0.9. a. Use the...Ch. 5.4 - In Exercises 1-8, fill in the blanks with an...Ch. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - In Exercises 1-8, fill in the blanks with an...Ch. 5.4 - Prob. 6ECh. 5.4 - In Exercises 1- 8, fill in the blanks with an...Ch. 5.4 - Prob. 8ECh. 5.4 - In Exercises 9-18, determine whether the number is...Ch. 5.4 - In Exercises 9-18, determine whether the number is...Ch. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - In Exercises 9-18, determine whether the number is...Ch. 5.4 - In Exercises 9-18, determine whether the number is...Ch. 5.4 - In Exercises 9-18, determine whether the number is...Ch. 5.4 - In Exercises 9-18, determine whether the number is...Ch. 5.4 - In Exercises 9-18, determine whether the number is...Ch. 5.4 - In Exercises 9-18, determine whether the number is...Ch. 5.4 - In Exercises 19-26, evaluate the expression. 19. 0Ch. 5.4 - In Exercises 19-26, evaluate the expression. 20. 1Ch. 5.4 - In Exercises 19-26, evaluate the expression. 21....Ch. 5.4 - In Exercises 19-26, evaluate the expression. 21....Ch. 5.4 - In Exercises 19-26, evaluate the expression. 23....Ch. 5.4 - In Exercises 19-26, evaluate the expression. 24....Ch. 5.4 - In Exercises 19-26, evaluate the expression. 25....Ch. 5.4 - In Exercises 19-26, evaluate the expression. 26....Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 27-36, classify the number as a...Ch. 5.4 - In Exercises 37-44, simplify the radical. 37. 12Ch. 5.4 - In Exercises 37-44, simplify the radical. 38. 28Ch. 5.4 - In Exercises 37-44, simplify the radical. 39. 54Ch. 5.4 - In Exercises 37-44, simplify the radical. 40. 60Ch. 5.4 - In Exercises 37-44, simplify the radical. 41. 63Ch. 5.4 - In Exercises 37-44, simplify the radical. 42. 75Ch. 5.4 - In Exercises 37-44, simplify the radical. 43. 84Ch. 5.4 - In Exercises 37-44, simplify the radical. 44. 90Ch. 5.4 - In Exercises 45-52, perform the indicated...Ch. 5.4 - Prob. 46ECh. 5.4 - In Exercises 45-52, perform the indicated...Ch. 5.4 - In Exercises 45-52, perform the indicated...Ch. 5.4 - In Exercises 45-52, perform the indicated...Ch. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - In Exercises 45-52, perform the indicated...Ch. 5.4 - In Exercises 53- 60, perform the indicated...Ch. 5.4 - In Exercises 53- 60, perform the indicated...Ch. 5.4 - In Exercises 53- 60, perform the indicated...Ch. 5.4 - In Exercises 53- 60, perform the indicated...Ch. 5.4 - In Exercises 53- 60, perform the indicated...Ch. 5.4 - In Exercises 53- 60, perform the indicated...Ch. 5.4 - In Exercises 53- 60, perform the indicated...Ch. 5.4 - In Exercises 53- 60, perform the indicated...Ch. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - In Exercises 61-68, rationalize the denominator....Ch. 5.4 - Prob. 64ECh. 5.4 - In Exercises 61-68, rationalize the denominator....Ch. 5.4 - Prob. 66ECh. 5.4 - Prob. 67ECh. 5.4 - Prob. 68ECh. 5.4 - Prob. 69ECh. 5.4 - Approximating Radicals The following diagram is a...Ch. 5.4 - Prob. 71ECh. 5.4 - Prob. 72ECh. 5.4 - Approximating Radicals The following diagram is a...Ch. 5.4 - Approximating Radicals The following diagram is a...Ch. 5.4 - Prob. 75ECh. 5.4 - Prob. 76ECh. 5.4 - Prob. 77ECh. 5.4 - Prob. 78ECh. 5.4 - Prob. 79ECh. 5.4 - Prob. 80ECh. 5.4 - Prob. 81ECh. 5.4 - Prob. 82ECh. 5.4 - Prob. 83ECh. 5.4 - Prob. 84ECh. 5.4 - Prob. 85ECh. 5.4 - Prob. 86ECh. 5.4 - Prob. 87ECh. 5.4 - Prob. 88ECh. 5.4 - Prob. 89ECh. 5.4 - Without doing any calculations, determine whether...Ch. 5.4 - Prob. 91ECh. 5.4 - Prob. 92ECh. 5.4 - Prob. 93ECh. 5.4 - Prob. 94ECh. 5.4 - Prob. 95ECh. 5.4 - Prob. 96ECh. 5.4 - Recreational Mathmatics 97. More Four 4s In the...Ch. 5.5 - In Exercises 1-8, fill in the blanks with an...Ch. 5.5 - Prob. 2ECh. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.5 - Prob. 6ECh. 5.5 - In Exercises 1-8, fill in the blanks with an...Ch. 5.5 - Prob. 8ECh. 5.5 - In Exercises 9-12, determine whether the natural...Ch. 5.5 - In Exercises 9-12, determine whether the natural...Ch. 5.5 - In Exercises 9-12, determine whether the natural...Ch. 5.5 - In Exercises 9-12, determine whether the natural...Ch. 5.5 - Prob. 13ECh. 5.5 - Prob. 14ECh. 5.5 - Prob. 15ECh. 5.5 - Prob. 16ECh. 5.5 - Prob. 17ECh. 5.5 - Prob. 18ECh. 5.5 - Prob. 19ECh. 5.5 - Prob. 20ECh. 5.5 - In Exercises 21-24, determine whether the...Ch. 5.5 - In Exercises 21-24, determine whether the...Ch. 5.5 - In Exercises 21-24, determine whether the...Ch. 5.5 - In Exercises 21-24, determine whether the...Ch. 5.5 - In Exercises 25-28, determine whether the real...Ch. 5.5 - In Exercises 25-28, determine whether the real...Ch. 5.5 - In Exercises 25-28, determine whether the real...Ch. 5.5 - In Exercises 25-28, determine whether the real...Ch. 5.5 - Prob. 29ECh. 5.5 - Prob. 30ECh. 5.5 - Prob. 31ECh. 5.5 - Prob. 32ECh. 5.5 - Prob. 33ECh. 5.5 - Prob. 34ECh. 5.5 - Prob. 35ECh. 5.5 - Prob. 36ECh. 5.5 - Prob. 37ECh. 5.5 - Prob. 38ECh. 5.5 - Prob. 39ECh. 5.5 - Prob. 40ECh. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 41-52, state the name of the property...Ch. 5.5 - In Exercises 53-64, use the distributive property...Ch. 5.5 - Prob. 54ECh. 5.5 - In Exercises 53-64, use the distributive property...Ch. 5.5 - Prob. 56ECh. 5.5 - Prob. 57ECh. 5.5 - Prob. 58ECh. 5.5 - In Exercises 53-64, use the distributive property...Ch. 5.5 - Prob. 60ECh. 5.5 - In Exercises 53-64, use the distributive property...Ch. 5.5 - Prob. 62ECh. 5.5 - Prob. 63ECh. 5.5 - Prob. 64ECh. 5.5 - In Exercises 65-68, determine whether the activity...Ch. 5.5 - In Exercises 65-68, determine whether the activity...Ch. 5.5 - In Exercises 65-68, determine whether the activity...Ch. 5.5 - In Exercises 65-68, determine whether the activity...Ch. 5.5 - Prob. 69ECh. 5.5 - Prob. 70ECh. 5.5 - In Exercises 69-74, determine whether the activity...Ch. 5.5 - Prob. 72ECh. 5.5 - In Exercises 69-74, determine whether the activity...Ch. 5.5 - Prob. 74ECh. 5.5 - Describe two other activities that can be used to...Ch. 5.5 - Prob. 76ECh. 5.5 - Prob. 77ECh. 5.5 - Prob. 79ECh. 5.6 - In Exercises 1-6, fill in the blanks with an...Ch. 5.6 - In Exercises 1-6, fill in the blanks with an...Ch. 5.6 - In Exercises 1-6, fill in the blanks with an...Ch. 5.6 - In Exercises 1-6, fill in the blanks with an...Ch. 5.6 - In Exercises 1-6, fill in the blanks with an...Ch. 5.6 - In Exercises 1-6, fill in the blanks with an...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 7-22, evaluate the expression. Assume...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 23-32, express the number in...Ch. 5.6 - In Exercises 33-40, express the number in decimal...Ch. 5.6 - In Exercises 33-40, express the number in decimal...Ch. 5.6 - In Exercises 33-40, express the number in decimal...Ch. 5.6 - In Exercises 33-40, express the number in decimal...Ch. 5.6 - In Exercises 33-40, express the number in decimal...Ch. 5.6 - In Exercises 33-40, express the number in decimal...Ch. 5.6 - In Exercises 33-40, express the number in decimal...Ch. 5.6 - In Exercises 33-40, express the number in decimal...Ch. 5.6 - In Exercises 41-48, (a) perform the indicated...Ch. 5.6 - In Exercises 41-48, (a) perform the indicated...Ch. 5.6 - In Exercises 41-48, (a) perform the indicated...Ch. 5.6 - In Exercises 41-48, (a) perform the indicated...Ch. 5.6 - In Exercises 41-48, (a) perform the indicated...Ch. 5.6 - In Exercises 41-48, (a) perform the indicated...Ch. 5.6 - In Exercises 41-48, (a) perform the indicated...Ch. 5.6 - In Exercises 41-48, (a) perform the indicated...Ch. 5.6 - In Exercises 49-56, (a) perform the indicated...Ch. 5.6 - In Exercises 49-56, (a) perform the indicated...Ch. 5.6 - In Exercises 49-56, (a) perform the indicated...Ch. 5.6 - In Exercises 49-56, (a) perform the indicated...Ch. 5.6 - In Exercises 49-56, (a) perform the indicated...Ch. 5.6 - In Exercises 49-56, (a) perform the indicated...Ch. 5.6 - In Exercises 49-56, (a) perform the indicated...Ch. 5.6 - In Exercises 49-56, (a) perform the indicated...Ch. 5.6 - In Exercises 57-60, list the numbers from smallest...Ch. 5.6 - In Exercises 57-60, list the numbers from smallest...Ch. 5.6 - In Exercises 57-60, list the numbers from smallest...Ch. 5.6 - In Exercises 57-60, list the numbers from smallest...Ch. 5.6 - In Exercises 61-78, use a scientific calculator to...Ch. 5.6 - Prob. 62ECh. 5.6 - In Exercises 61-78, use a scientific calculator to...Ch. 5.6 - Prob. 64ECh. 5.6 - Prob. 65ECh. 5.6 - Prob. 66ECh. 5.6 - Prob. 67ECh. 5.6 - Prob. 68ECh. 5.6 - Prob. 69ECh. 5.6 - In Exercises 61-78, use a scientific calculator to...Ch. 5.6 - Prob. 71ECh. 5.6 - Prob. 72ECh. 5.6 - Prob. 73ECh. 5.6 - In Exercises 61-78, use a scientific calculator to...Ch. 5.6 - Prob. 75ECh. 5.6 - Prob. 76ECh. 5.6 - Prob. 77ECh. 5.6 - Prob. 78ECh. 5.6 - Prob. 79ECh. 5.6 - Speed of Light a. Light travels at a speed of 1.86...Ch. 5.6 - Prob. 81ECh. 5.7 - In Exercises 1-6, fill in the blanks with an...Ch. 5.7 - In Exercises 1-6, fill in the blanks with an...Ch. 5.7 - In Exercises 1-6, fill in the blanks with an...Ch. 5.7 - In Exercises 1-6, fill in the blanks with an...Ch. 5.7 - In Exercises 1-6, fill in the blanks with an...Ch. 5.7 - In Exercises 1-6, fill in the blanks with an...Ch. 5.7 - In Exercises 7-12, write the first five terms of...Ch. 5.7 - In Exercises 7-12, write the first five terms of...Ch. 5.7 - In Exercises 7-12, write the first five terms of...Ch. 5.7 - In Exercises 7-12, write the first five terms of...Ch. 5.7 - In Exercises 7-12, write the first five terms of...Ch. 5.7 - In Exercises 7-12, write the first five terms of...Ch. 5.7 - In exercises 13-18, determine the indicated term...Ch. 5.7 - In exercises 13-18, determine the indicated term...Ch. 5.7 - In exercises 13-18, determine the indicated term...Ch. 5.7 - In exercises 13-18, determine the indicated term...Ch. 5.7 - In exercises 13-18, determine the indicated term...Ch. 5.7 - In exercises 13-18, determine the indicated term...Ch. 5.7 - In Exercises 19-24, write an expression for the...Ch. 5.7 - In Exercises 19-24, write an expression for the...Ch. 5.7 - In Exercises 19-24, write an expression for the...Ch. 5.7 - In Exercises 19-24, write an expression for the...Ch. 5.7 - In Exercises 19-24, write an expression for the...Ch. 5.7 - In Exercises 19-24, write an expression for the...Ch. 5.7 - In Exercises 25-30, determine the sum of the terms...Ch. 5.7 - In Exercises 25-30, determine the sum of the terms...Ch. 5.7 - In Exercises 25-30, determine the sum of the terms...Ch. 5.7 - In Exercises 25-30, determine the sum of the terms...Ch. 5.7 - In Exercises 25-30, determine the sum of the terms...Ch. 5.7 - In Exercises 25-30, determine the sum of the terms...Ch. 5.7 - In Exercises 31-36, write the first five terms of...Ch. 5.7 - In Exercises 31-36, write the first five terms of...Ch. 5.7 - In Exercises 31-36, write the first five terms of...Ch. 5.7 - In Exercises 31-36, write the first five terms of...Ch. 5.7 - In Exercises 31-36, write the first five terms of...Ch. 5.7 - In Exercises 31-36, write the first five terms of...Ch. 5.7 - Prob. 37ECh. 5.7 - In Exercises 37-42, determine the indicated term...Ch. 5.7 - Prob. 39ECh. 5.7 - Prob. 40ECh. 5.7 - In Exercises 37-42, determine the indicated term...Ch. 5.7 - Prob. 42ECh. 5.7 - Prob. 43ECh. 5.7 - Prob. 44ECh. 5.7 - Prob. 45ECh. 5.7 - Prob. 46ECh. 5.7 - In Exercises 43-48, write an expression for the...Ch. 5.7 - Prob. 48ECh. 5.7 - Prob. 49ECh. 5.7 - Prob. 50ECh. 5.7 - Prob. 51ECh. 5.7 - Prob. 52ECh. 5.7 - Prob. 53ECh. 5.7 - Prob. 54ECh. 5.7 - Prob. 55ECh. 5.7 - Prob. 56ECh. 5.7 - Prob. 57ECh. 5.7 - Prob. 58ECh. 5.7 - Prob. 59ECh. 5.7 - Prob. 60ECh. 5.7 - Prob. 61ECh. 5.7 - Prob. 62ECh. 5.7 - Prob. 63ECh. 5.7 - Prob. 64ECh. 5.7 - Prob. 65ECh. 5.7 - Prob. 66ECh. 5.7 - Prob. 67ECh. 5.7 - Prob. 68ECh. 5.7 - Prob. 69ECh. 5.7 - Prob. 70ECh. 5.7 - Divisibility by 6 Determine how many numbers...Ch. 5.7 - Prob. 72ECh. 5.7 - Prob. 73ECh. 5.7 - Prob. 74ECh. 5.8 - Prob. 1ECh. 5.8 - Prob. 2ECh. 5.8 - In Exercises 1-6, fill in the blanks with an...Ch. 5.8 - Prob. 4ECh. 5.8 - Prob. 5ECh. 5.8 - Prob. 6ECh. 5.8 - Prob. 7ECh. 5.8 - Prob. 8ECh. 5.8 - Prob. 9ECh. 5.8 - Prob. 10ECh. 5.8 - Prob. 11ECh. 5.8 - Prob. 12ECh. 5.8 - Prob. 13ECh. 5.8 - Prob. 14ECh. 5.8 - Prob. 15ECh. 5.8 - Prob. 16ECh. 5.8 - Prob. 17ECh. 5.8 - The greatest common factor of any two consecutive...Ch. 5.8 - For any four consecutive Fibonacci numbers, the...Ch. 5.8 - Prob. 20ECh. 5.8 - Prob. 21ECh. 5.8 - Prob. 22ECh. 5.8 - Prob. 23ECh. 5.8 - Prob. 24ECh. 5.8 - a. To what decimal value is (5+1)/2 approximately...Ch. 5.8 - Determine the ratio of the length to the width of...Ch. 5.8 - Determine the ratio of the length to width of...Ch. 5.8 - Prob. 28ECh. 5.8 - Prob. 29ECh. 5.8 - Find the ratio of the second to the first term of...Ch. 5.8 - Prob. 31ECh. 5.8 - Prob. 32ECh. 5.8 - Prob. 33ECh. 5.8 - Prob. 34ECh. 5.8 - Prob. 35ECh. 5 - In Exercises 1 and 2, determine whether the number...Ch. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - In Exercises 14-17, evaluate the expression. 15....Ch. 5 - Prob. 16RECh. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - Prob. 24RECh. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Prob. 31RECh. 5 - Prob. 32RECh. 5 - Prob. 33RECh. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - Prob. 39RECh. 5 - Prob. 40RECh. 5 - Prob. 41RECh. 5 - Prob. 42RECh. 5 - Prob. 43RECh. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - Prob. 46RECh. 5 - Prob. 47RECh. 5 - Prob. 48RECh. 5 - Prob. 49RECh. 5 - Prob. 50RECh. 5 - Prob. 51RECh. 5 - Prob. 52RECh. 5 - Prob. 53RECh. 5 - Prob. 54RECh. 5 - Prob. 55RECh. 5 - Prob. 56RECh. 5 - Prob. 57RECh. 5 - Prob. 58RECh. 5 - Prob. 59RECh. 5 - Prob. 60RECh. 5 - Prob. 61RECh. 5 - In Exercises 60-64, determine whether the set of...Ch. 5 - In Exercises 60-64, determine whether the set of...Ch. 5 - Prob. 64RECh. 5 - Prob. 65RECh. 5 - Prob. 66RECh. 5 - Prob. 67RECh. 5 - Prob. 68RECh. 5 - Prob. 69RECh. 5 - Prob. 70RECh. 5 - Prob. 71RECh. 5 - Prob. 72RECh. 5 - Prob. 73RECh. 5 - Prob. 74RECh. 5 - Prob. 75RECh. 5 - Prob. 76RECh. 5 - Prob. 77RECh. 5 - Prob. 78RECh. 5 - Prob. 79RECh. 5 - Prob. 80RECh. 5 - Prob. 81RECh. 5 - Prob. 82RECh. 5 - Prob. 83RECh. 5 - Prob. 84RECh. 5 - Prob. 85RECh. 5 - Prob. 86RECh. 5 - Prob. 87RECh. 5 - Prob. 88RECh. 5 - Prob. 89RECh. 5 - Prob. 90RECh. 5 - Prob. 91RECh. 5 - Prob. 92RECh. 5 - Prob. 93RECh. 5 - In Exercises 94 and 95, first determine whether...Ch. 5 - Prob. 95RECh. 5 - Prob. 96RECh. 5 - Prob. 97RECh. 5 - Prob. 98RECh. 5 - Prob. 1TCh. 5 - Prob. 2TCh. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Express 6.45 as a quotient of two integers.Ch. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 16TCh. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 19TCh. 5 - Write the first 10 terms of the Fibonacci...
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- 9.22 Develop, debug, and test a program in either a high-level language or a macro language of your choice to solve a system of equations with Gauss-Jordan elimination without partial pivoting. Base the program on the pseudocode from Fig. 9.10. Test the program using the same system as in Prob. 9.18. Compute the total number of flops in your algorithm to verify Eq. 9.37. FIGURE 9.10 Pseudocode to implement the Gauss-Jordan algorithm with- out partial pivoting. SUB GaussJordan(aug, m, n, x) DOFOR k = 1, m d = aug(k, k) DOFOR j = 1, n aug(k, j) = aug(k, j)/d END DO DOFOR 1 = 1, m IF 1 % K THEN d = aug(i, k) DOFOR j = k, n aug(1, j) END DO aug(1, j) - d*aug(k, j) END IF END DO END DO DOFOR k = 1, m x(k) = aug(k, n) END DO END GaussJordanarrow_forward11.9 Recall from Prob. 10.8, that the following system of equations is designed to determine concentrations (the e's in g/m³) in a series of coupled reactors as a function of amount of mass input to each reactor (the right-hand sides are in g/day): 15c3cc33300 -3c18c26c3 = 1200 -4c₁₂+12c3 = 2400 Solve this problem with the Gauss-Seidel method to & = 5%.arrow_forward9.8 Given the equations 10x+2x2-x3 = 27 -3x-6x2+2x3 = -61.5 x1 + x2 + 5x3 = -21.5 (a) Solve by naive Gauss elimination. Show all steps of the compu- tation. (b) Substitute your results into the original equations to check your answers.arrow_forward
- Tangent planes Find an equation of the plane tangent to the following surfaces at the given points (two planes and two equations).arrow_forwardVectors u and v are shown on the graph.Part A: Write u and v in component form. Show your work. Part B: Find u + v. Show your work.Part C: Find 5u − 2v. Show your work.arrow_forwardVectors u = 6(cos 60°i + sin60°j), v = 4(cos 315°i + sin315°j), and w = −12(cos 330°i + sin330°j) are given. Use exact values when evaluating sine and cosine.Part A: Convert the vectors to component form and find −7(u • v). Show every step of your work.Part B: Convert the vectors to component form and use the dot product to determine if u and w are parallel, orthogonal, or neither. Justify your answer.arrow_forward
- Suppose that one factory inputs its goods from two different plants, A and B, with different costs, 3 and 7 each respective. And suppose the price function in the market is decided as p(x, y) = 100 - x - y where x and y are the demand functions and 0 < x, y. Then as x = y= the factory can attain the maximum profit,arrow_forwardBob and Teresa each collect their own samples to test the same hypothesis. Bob’s p-value turns out to be 0.05, and Teresa’s turns out to be 0.01. Why don’t Bob and Teresa get the same p-values? Who has stronger evidence against the null hypothesis: Bob or Teresa?arrow_forwardf(x) = = x - 3 x²-9 f(x) = {x + 1 x > 3 4 x < 3 -10 5 10 5 5. 10 5- 07. 10 -10 -5 0 10 5 -101 :: The function has a “step" or "jump" discontinuity at x = 3 where f(3) = 7. :: The function has a value of f (3), a limit as x approaches 3, but is not continuous at x = 3. :: The function has a limit as x approaches 3, but the function is not defined and is not continuous at x = 3. :: The function has a removable discontinuity at x=3 and an infinite discontinuity at x= -3.arrow_forward
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