6. Use the function g(x) = -x+2 with initial values of 4, 2, and 1. Whathappens after many iterations with all three initial values? How do the results of allthree iterations relate to each other? (Hint - look at the means)Answers for #6. What happens and how do the 3 iterations relate to eachother?Use g(x) = -x+2Chart for Problem 6Number ofIterationsFunction'sValueFunction'sFunction'sValueValueInitial Values21243.

Answered: Image /qna-images/answer/695c851c-dce2-46d1-8d25-4a357a7a4b8b.jpg

Answered: 6. Use the function g(x) = -x+2 with…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. The function 4– y² = x + 3 shifted to a new position, find the coordinates of this position. Then graph the function before and after shifting.
5. Consider the piecewise-defined function that is graphed above. The point A=(-3/2,0). (a) Find the equation of the piecewise defined function graphed above. You may assume that the ends of the pieces shown end with an open circle (an empty point). (b) Calculate the inverse of each of the pieces by swapping 2 andy and solving for y.
The height above ground (in feet) of a ball thrown vertically into the air is given by S = 80t – 16t2 where t is the time in seconds since the ball was thrown. (a) Graph this equation with a graphing calculator and the window t-min = -2, t-max = 10; S-min = -20, S-max = 150. S S 150 150- - 10 -8 -6 -4 -2 2 -2 4 6 8 10 100 100 -50 09 50 - 100 - 100 -2 4 8 10 - 10 -8 -6 -4 -2 - 150 -15아 (b) Estimate the time at which the ball is at its highest point, and estimate the height of the ball at that time. t = 16 X S S = 96 X ft
II. Suppose that the total worldwide sales for a song album are approximated by the function: 250x³ x³ +7 where, S(x) = S(x) is the measured in millions of dollars; and x is the number of months since the album is released A. Use a graphing tool to show the graph of S(x) in the context of the situation. B. Construct a table to show the total number of sales for the first two years since the album's release. C. What will be the album's gross sales in the long run? Support your answer analytically using the concept of limits. D. Based on A, B, and C, discuss the trend of the gross sales of the album. Consider the function (for questions E and F) S(x) = E. What will happen to lim S(x) if k is replaced by any value greater than 7? Any value less than 7? Discuss x →00 how the number k affects the limit of S(x) as x gets very large. Support your answer graphically to show the variation. 250x³ x³ + k F. What will happen to lim S(x) if 250 is replaced by any constant? Support your answer…
Question 3 A group of students wish to charter a bus which holds at most 45 people to go to an educational tour. The bus company requires at least 30 people to go. It charges GHe 100 per person if up to 40 people go. If more than 40 people go, it charges each person GHe 100 less times the number more than 40 who go. 3a) Determine the total cost as a function of the number of students who go 3b) Deduce and com the domain of the function. (3c) Show that the lines 5x+6y= 20 and 18x-15y = 17 are at right angles. 3d) Kojo Manu enjoys throwing spaghetti on his days off. He stands in his backyard every Saturday afternoon. His throwing arm is quite good; his record spaghetti toss was 12 feet in the air, after 4 seconds. At 2 seconds, the spaghetti is 8 feet high. At 5 seconds, it is at 4 feet.
10. The number of male alates in an ant colony has been found to be approximately a linear function of the age of the colony, with a 5-year-old colony having 8.2 alates on average, and a 17-year-old colony having an average of 33.4 alates. Write the number of male alates ( y ) as a linear function of the age of the colony in years (t).
Make sure you write out all your work.

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