College Algebra (10th Edition)
10th Edition
ISBN: 9780321979476
Author: Michael Sullivan
Publisher: PEARSON
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Chapter 9.2, Problem 53SB
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part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
2. The duration of the ride is 15 min.
(a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris
wheel?
(b) What is the position of that passenger when the ride ends?
3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum
was at its resting position. The pendulum then moved right (positive displacement) and left (negative
displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its
resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents
the pendulum's displacement as a function of time.
Answer:
f(t)
(a) Write an equation to represent the displacement of the pendulum as a function of time.
(b) Graph the function.
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Chapter 9 Solutions
College Algebra (10th Edition)
Ch. 9.1 - For the function f( x )= x1 x , find f( 2 ) and f(...Ch. 9.1 - True or False A function is a relation between two...Ch. 9.1 - Prob. 3AYPCh. 9.1 - True or False The notation a 5 represents the...Ch. 9.1 - True or False If n2 is an integer, then n!=n( n1...Ch. 9.1 - The sequence a 1 =5 , a n =3 a n1 is an example of...Ch. 9.1 - Prob. 7AYPCh. 9.1 - Prob. 8AYPCh. 9.1 - Prob. 9SBCh. 9.1 - Prob. 10SB
Ch. 9.1 - In Problems 9-14, evaluate each factorial...Ch. 9.1 - In Problems 9-14, evaluate each factorial...Ch. 9.1 - In Problems 9-14, evaluate each factorial...Ch. 9.1 - In Problems 9-14, evaluate each factorial...Ch. 9.1 - Prob. 15SBCh. 9.1 - Prob. 16SBCh. 9.1 - Prob. 17SBCh. 9.1 - In Problems 15-26, write down the first five terms...Ch. 9.1 - Prob. 19SBCh. 9.1 - Prob. 20SBCh. 9.1 - In Problems 15-26, write down the first five terms...Ch. 9.1 - Prob. 22SBCh. 9.1 - Prob. 23SBCh. 9.1 - Prob. 24SBCh. 9.1 - Prob. 25SBCh. 9.1 - Prob. 26SBCh. 9.1 - Prob. 27SBCh. 9.1 - Prob. 28SBCh. 9.1 - In Problems 27-34, the given pattern continues....Ch. 9.1 - Prob. 30SBCh. 9.1 - In Problems 27-34, the given pattern continues....Ch. 9.1 - Prob. 32SBCh. 9.1 - In Problems 27-34, the given pattern continues....Ch. 9.1 - Prob. 34SBCh. 9.1 - Prob. 35SBCh. 9.1 - Prob. 36SBCh. 9.1 - Prob. 37SBCh. 9.1 - Prob. 38SBCh. 9.1 - In Problems 35-48, a sequence is defined...Ch. 9.1 - Prob. 40SBCh. 9.1 - In Problems 35-48, a sequence is defined...Ch. 9.1 - Prob. 42SBCh. 9.1 - In Problems 35-48, a sequence is defined...Ch. 9.1 - In Problems 35-48, a sequence is defined...Ch. 9.1 - Prob. 45SBCh. 9.1 - Prob. 46SBCh. 9.1 - Prob. 47SBCh. 9.1 - Prob. 48SBCh. 9.1 - Prob. 49SBCh. 9.1 - Prob. 50SBCh. 9.1 - In Problems 49-58, write out each sum. k=1 n k 2...Ch. 9.1 - Prob. 52SBCh. 9.1 - Prob. 53SBCh. 9.1 - Prob. 54SBCh. 9.1 - Prob. 55SBCh. 9.1 - In Problems 49-58, write out each sum. k=0 n1 (...Ch. 9.1 - Prob. 57SBCh. 9.1 - Prob. 58SBCh. 9.1 - Prob. 59SBCh. 9.1 - Prob. 60SBCh. 9.1 - In Problems 59-68, express each sum using...Ch. 9.1 - Prob. 62SBCh. 9.1 - Prob. 63SBCh. 9.1 - Prob. 64SBCh. 9.1 - Prob. 65SBCh. 9.1 - Prob. 66SBCh. 9.1 - Prob. 67SBCh. 9.1 - Prob. 68SBCh. 9.1 - Prob. 69SBCh. 9.1 - Prob. 70SBCh. 9.1 - In Problems 69-80, find the sum of each sequence. ...Ch. 9.1 - Prob. 72SBCh. 9.1 - Prob. 73SBCh. 9.1 - Prob. 74SBCh. 9.1 - Prob. 75SBCh. 9.1 - Prob. 76SBCh. 9.1 - In Problems 69-80, find the sum of each sequence. ...Ch. 9.1 - Prob. 78SBCh. 9.1 - Prob. 79SBCh. 9.1 - Prob. 80SBCh. 9.1 - Credit Card Debt John has a balance of 3000 on his...Ch. 9.1 - Prob. 82AECh. 9.1 - Car Loans Phil bought a car by taking out a loan...Ch. 9.1 - Prob. 84AECh. 9.1 - Prob. 85AECh. 9.1 - Fibonacci Sequence Let u n = ( 1+ 5 ) n ( 1 5 ) n...Ch. 9.1 - Prob. 87AECh. 9.1 - Prob. 88AECh. 9.1 - Approximating f(x) =e x In calculus, it can be...Ch. 9.1 - Approximating f(x) =e x Refer to Problem 89. a....Ch. 9.1 - 91. Bode s Law In 1772, Johann Bode published the...Ch. 9.1 - Show that 1+2+...+( n1 )+n= n( n+1 ) 2 [Hint: Let]...Ch. 9.1 - Computing Square Roots A method for approximating...Ch. 9.1 - Prob. 94AECh. 9.1 - Prob. 95AECh. 9.1 - Prob. 96AECh. 9.1 - Prob. 97AECh. 9.1 - For the sequence given in problem 97, show that u...Ch. 9.1 - For the sequence given in problem 97, show that u...Ch. 9.1 - 100. Investigate various applications that lead to...Ch. 9.1 - Write a paragraph that explains why the numbers...Ch. 9.1 - If 2500 is invested at 3 compounded monthly, find...Ch. 9.1 - Solve the inequality: x 3 + x 2 16x160 .Ch. 9.1 - Prob. 104RYKCh. 9.1 - Prob. 105RYKCh. 9.2 - In a(n) ________ sequence, the difference between...Ch. 9.2 - True or False For an arithmetic sequence { a n }...Ch. 9.2 - Prob. 3CVCh. 9.2 - Prob. 4CVCh. 9.2 - Prob. 5CVCh. 9.2 - If a n =2n+7 is the n th term of an arithmetic...Ch. 9.2 - show that each sequence is arithmetic. Find the...Ch. 9.2 - show that each sequence is arithmetic. Find the...Ch. 9.2 - show that each sequence is arithmetic. Find the...Ch. 9.2 - show that each sequence is arithmetic. Find the...Ch. 9.2 - show that each sequence is arithmetic. Find the...Ch. 9.2 - show that each sequence is arithmetic. Find the...Ch. 9.2 - Prob. 13SBCh. 9.2 - show that each sequence is arithmetic. Find the...Ch. 9.2 - Prob. 15SBCh. 9.2 - Prob. 16SBCh. 9.2 - In Problems 17-24, find the nth term of the...Ch. 9.2 - In Problems 17-24, find the n th term of the...Ch. 9.2 - Prob. 19SBCh. 9.2 - Prob. 20SBCh. 9.2 - Prob. 21SBCh. 9.2 - Prob. 22SBCh. 9.2 - In Problems 17-24, find the n th term of the...Ch. 9.2 - Prob. 24SBCh. 9.2 - In Problems 25-30, find the indicated term in each...Ch. 9.2 - Prob. 26SBCh. 9.2 - In Problems 25-30, find the indicated term in each...Ch. 9.2 - Prob. 28SBCh. 9.2 - In Problems 25-30, find the indicated term in each...Ch. 9.2 - Prob. 30SBCh. 9.2 - Prob. 31SBCh. 9.2 - Prob. 32SBCh. 9.2 - Prob. 33SBCh. 9.2 - Prob. 34SBCh. 9.2 - Prob. 35SBCh. 9.2 - Prob. 36SBCh. 9.2 - In Problems 31-38, find the first term and the...Ch. 9.2 - Prob. 38SBCh. 9.2 - Prob. 39SBCh. 9.2 - Prob. 40SBCh. 9.2 - Prob. 41SBCh. 9.2 - Prob. 42SBCh. 9.2 - Prob. 43SBCh. 9.2 - Prob. 44SBCh. 9.2 - Prob. 45SBCh. 9.2 - Prob. 46SBCh. 9.2 - In Problems 39-56, find each sum. 73+78+83+88++558Ch. 9.2 - Prob. 48SBCh. 9.2 - Prob. 49SBCh. 9.2 - Prob. 50SBCh. 9.2 - In Problems 39-56, find each sum. n1 80 ( 2n5 )Ch. 9.2 - n=1 90 ( 32bn )Ch. 9.2 - n=1 100 ( 6 1 2 n )Ch. 9.2 - Prob. 54SBCh. 9.2 - Prob. 55SBCh. 9.2 - Prob. 56SBCh. 9.2 - Prob. 57SBCh. 9.2 - Prob. 58SBCh. 9.2 - Prob. 59SBCh. 9.2 - Prob. 60SBCh. 9.2 - Prob. 61SBCh. 9.2 - Prob. 62SBCh. 9.2 - Prob. 63SBCh. 9.2 - Prob. 64SBCh. 9.2 - Prob. 65SBCh. 9.2 - Prob. 66SBCh. 9.2 - Seats in an Amphitheater An outdoor amphitheater...Ch. 9.2 - Prob. 68SBCh. 9.2 - Prob. 69SBCh. 9.2 - Prob. 70DWCh. 9.2 - Prob. 71DWCh. 9.2 - Prob. 72RYKCh. 9.2 - Prob. 73RYKCh. 9.2 - Prob. 74RYKCh. 9.2 - Prob. 75RYKCh. 9.3 - If 1000 is invested at 4 per annum compounded...Ch. 9.3 - Prob. 2AYPCh. 9.3 - Prob. 3CVCh. 9.3 - Prob. 4CVCh. 9.3 - Prob. 5CVCh. 9.3 - True or False A geometric sequence may be defined...Ch. 9.3 - Prob. 7CVCh. 9.3 - Prob. 8CVCh. 9.3 - In Problems 9-18, show that each sequence is...Ch. 9.3 - Prob. 10SBCh. 9.3 - Prob. 11SBCh. 9.3 - Prob. 12SBCh. 9.3 - Prob. 13SBCh. 9.3 - Prob. 14SBCh. 9.3 - Prob. 15SBCh. 9.3 - Prob. 16SBCh. 9.3 - Prob. 17SBCh. 9.3 - Prob. 18SBCh. 9.3 - In Problems 19-26, find the fifth term and the nth...Ch. 9.3 - Prob. 20SBCh. 9.3 - Prob. 21SBCh. 9.3 - Prob. 22SBCh. 9.3 - Prob. 23SBCh. 9.3 - Prob. 24SBCh. 9.3 - Prob. 25SBCh. 9.3 - Prob. 26SBCh. 9.3 - Prob. 27SBCh. 9.3 - Prob. 28SBCh. 9.3 - In Problems 27- 32, find the indicated term of...Ch. 9.3 - Prob. 30SBCh. 9.3 - Prob. 31SBCh. 9.3 - Prob. 32SBCh. 9.3 - Prob. 33SBCh. 9.3 - Prob. 34SBCh. 9.3 - Prob. 35SBCh. 9.3 - Prob. 36SBCh. 9.3 - Prob. 37SBCh. 9.3 - Prob. 38SBCh. 9.3 - In Problems 33-40, find the nth term a n of each...Ch. 9.3 - Prob. 40SBCh. 9.3 - Prob. 41SBCh. 9.3 - Prob. 42SBCh. 9.3 - Prob. 43SBCh. 9.3 - Prob. 44SBCh. 9.3 - Prob. 45SBCh. 9.3 - Prob. 46SBCh. 9.3 - Prob. 47SBCh. 9.3 - Prob. 48SBCh. 9.3 - For Problems 47-52, use a graphing utility to find...Ch. 9.3 - Prob. 50SBCh. 9.3 - Prob. 51SBCh. 9.3 - Prob. 52SBCh. 9.3 - Prob. 53SBCh. 9.3 - Prob. 54SBCh. 9.3 - Prob. 55SBCh. 9.3 - Prob. 56SBCh. 9.3 - In Problems 53-68, determine whether each infinite...Ch. 9.3 - In Problems 53-68, determine whether each infinite...Ch. 9.3 - In Problems 53-68, determine whether each infinite...Ch. 9.3 - Prob. 60SBCh. 9.3 - Prob. 61SBCh. 9.3 - Prob. 62SBCh. 9.3 - Prob. 63SBCh. 9.3 - Prob. 64SBCh. 9.3 - Prob. 65SBCh. 9.3 - Prob. 66SBCh. 9.3 - In Problems 53-68, determine whether each infinite...Ch. 9.3 - Prob. 68SBCh. 9.3 - In Problems 69-82, determine whether the given...Ch. 9.3 - Prob. 70MPCh. 9.3 - Prob. 71MPCh. 9.3 - Prob. 72MPCh. 9.3 - Prob. 73MPCh. 9.3 - Prob. 74MPCh. 9.3 - Prob. 75MPCh. 9.3 - Prob. 76MPCh. 9.3 - Prob. 77MPCh. 9.3 - Prob. 78MPCh. 9.3 - Prob. 79MPCh. 9.3 - Prob. 80MPCh. 9.3 - Prob. 81MPCh. 9.3 - Prob. 82MPCh. 9.3 - Prob. 83AECh. 9.3 - Prob. 84AECh. 9.3 - Prob. 85AECh. 9.3 - Prob. 86AECh. 9.3 - Pendulum Swings Initially, a pendulum swings...Ch. 9.3 - Prob. 88AECh. 9.3 - Retirement Christine contributes 100 each month to...Ch. 9.3 - Prob. 90AECh. 9.3 - Prob. 91AECh. 9.3 - Prob. 92AECh. 9.3 - Prob. 93AECh. 9.3 - Prob. 94AECh. 9.3 - Grains of Wheat on a Chess Board In an old fable,...Ch. 9.3 - Prob. 96AECh. 9.3 - Multiplier Suppose that, throughout the U.S....Ch. 9.3 - Multiplier Refer to Problem 97. Suppose that the...Ch. 9.3 - Prob. 99AECh. 9.3 - Prob. 100AECh. 9.3 - A Rich Man’s Promise A rich man promises to give...Ch. 9.3 - Prob. 102AECh. 9.3 - Prob. 103DWCh. 9.3 - Prob. 104DWCh. 9.3 - Critical Thinking You have just signed a 7-year...Ch. 9.3 - Prob. 106DWCh. 9.3 - Prob. 107DWCh. 9.3 - Prob. 108DWCh. 9.3 - Prob. 109DWCh. 9.3 - Describe the similarities and differences between...Ch. 9.3 - Prob. 111RYKCh. 9.3 - Find the inverse of the nonsingular matrix: [ 1 0...Ch. 9.3 - Prob. 113RYKCh. 9.3 - Prob. 114RYKCh. 9.4 - In Problems 1-22, use the Principle of...Ch. 9.4 - Prob. 2SBCh. 9.4 - In Problems 1-22, use the Principle of...Ch. 9.4 - In Problems 1-22, use the Principle of...Ch. 9.4 - In Problems 1-22, use the Principle of...Ch. 9.4 - Prob. 6SBCh. 9.4 - Prob. 7SBCh. 9.4 - Prob. 8SBCh. 9.4 - Prob. 9SBCh. 9.4 - Prob. 10SBCh. 9.4 - Prob. 11SBCh. 9.4 - Prob. 12SBCh. 9.4 - Prob. 13SBCh. 9.4 - Prob. 14SBCh. 9.4 - Prob. 15SBCh. 9.4 - Prob. 16SBCh. 9.4 - Prob. 17SBCh. 9.4 - Prob. 18SBCh. 9.4 - In Problems 1-22, use the Principle of...Ch. 9.4 - Prob. 20SBCh. 9.4 - Prob. 21SBCh. 9.4 - Prob. 22SBCh. 9.4 - Prob. 23AECh. 9.4 - Prob. 24AECh. 9.4 - In Problems 23-27, prove each statement. ab is a...Ch. 9.4 - Prob. 26AECh. 9.4 - Prob. 27AECh. 9.4 - Prob. 28AECh. 9.4 - Prob. 29AECh. 9.4 - Prob. 30AECh. 9.4 - Prob. 31AECh. 9.4 - Prob. 32AECh. 9.4 - Prob. 33AECh. 9.4 - How would you explain the Principle of...Ch. 9.4 - Prob. 35RYKCh. 9.4 - Prob. 36RYKCh. 9.4 - Prob. 37RYKCh. 9.4 - Prob. 38RYKCh. 9.5 - The ______ ________ is a triangular display of the...Ch. 9.5 - Prob. 2CVCh. 9.5 - Prob. 3CVCh. 9.5 - Prob. 4CVCh. 9.5 - In Problems 5-16, evaluate each expression. ( 5 3...Ch. 9.5 - Prob. 6SBCh. 9.5 - Prob. 7SBCh. 9.5 - Prob. 8SBCh. 9.5 - Prob. 9SBCh. 9.5 - Prob. 10SBCh. 9.5 - Prob. 11SBCh. 9.5 - Prob. 12SBCh. 9.5 - In Problems 5-16, evaluate each expression. ( 55...Ch. 9.5 - In Problems 5-16, evaluate each expression. ( 60...Ch. 9.5 - In Problems 5-16, evaluate each expression. ( 47...Ch. 9.5 - In Problems 5-16, evaluate each expression. ( 37...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 17-28, expand each expression using...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 9.5 - Use the Binomial Theorem to find the numerical...Ch. 9.5 - Use the Binomial Theorem to find the numerical...Ch. 9.5 - Prob. 45SBCh. 9.5 - Prob. 46SBCh. 9.5 - Prob. 47SBCh. 9.5 - Prob. 48SBCh. 9.5 - Prob. 49SBCh. 9.5 - Prob. 50SBCh. 9.5 - Prob. 51RYKCh. 9.5 - Prob. 52RYKCh. 9.5 - Prob. 53RYKCh. 9.5 - Prob. 54RYK
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- A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes. (a) What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model. (b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.arrow_forwardThe Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride. Height of Passenger in Ferris Wheel 180 160 140- €120 Height, h (ft) 100 80 60 40 20 0 ך 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Time of operation, t (min) Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel. Answer:arrow_forward1. Graph the function f(x)=sin(x) −2¸ Answer: y -2π 一元 1 −1 -2 -3 -4+ 元 2πarrow_forward
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