22. Represent the graph of the following functions using a sine and cosine function.221001502002503001210842510

The general form of the function is f(x) = Asinkx+M or f(x) = Acoskx-π2+M Where M is the midline, A…

Answered: 22. Represent the graph of the…

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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Consider the following function. y = -3.5 cosx + 4) (a) Using pencil and paper, not a graphing utility, determine the amplitude, period, and phase shift for the function. amplitude period phase shift (b) Use a graphing utility to graph the function for two complete cycles. [In choosing an appropriate viewing rectangle, you will need to use the information obtained in part (a).] y y 4 4| 2. -12 \12 я - 12 12 л - 6 -2 2 -4 y y 4 4- 2 2 -3 12 л - 3 12 л - 9 -2 (c) Use the graphing utility to estimate the coordinates of the highest points on the graph. (Round your answers to two decimal places.) (x, y) = (smaller x-value) (x, y) = (| (larger x-value) Use the graphing utility to estimate the coordinates of the lowest points on the graph. (Round your answers to two decimal
Determine the amplitude, range, period, and phase shift and then sketch the graph of the function using the quarter points. y=-2 sin (-2x+3)-3 Which of the following functions is equivalent to y = - 2 sin (x - 17 ) - 3 O A. y 4 sin x- O C. y=-2 sin |2x - π n ( - 2x + 737) - 3² 3? 3 O B. y = -2 sin 2 sin (2x + 3) +3 O D. y=2 sin 2x- - 3
The function graphed to the right is of the form y = a sin bx or y = a cos bx, where b>0. Determine the equation of the graph. y=0 (Type an expression using x as the variable.) m 2- 1- ند لیک 3n 2 o o S

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22. Represent the graph of the following functions using a sine and cosine function. 323 124 10 8 m -50 100 150 200 250 DS 4 2 0 300