
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Given y=5 sin(4x – π), state the
(a) period
(b) phase shift
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- 7arrow_forward6. Draw the graph of f(x) = -3 cos(x + pi/2) Period: Amplitude: H. shift: V. shift: 2 -2n 2 -1 -2 -) -4arrow_forwardGiven the equation y=5 sin [4(x+600)} -2, find the value of amplitude, phase shift, the direction of the phase shift, the value of the vertical shift and the direction of the vertical shiftarrow_forward
- Graph one period of the function y = 3 cos(π/2x-3π/2)+2arrow_forwardCompare the phase shift and amplitude of y=-cos(x-180∘) and y=-2sin(x-90∘). Which of the following choices is the correct comparison? a The cosine function has a phase shift that is 12 that of the sine function and in the same direction; the amplitude of the cosine function is 2 times that of the sine function. b The cosine function has a phase shift that is 12 that of the sine function and in the opposite direction; the amplitude of the cosine function is 12 that of the sine function. c The cosine function has a phase shift that is 2 times larger than the phase shift of the sine function and in the same direction; the amplitude of the cosine function is 12 that of the sine function. d The cosine function has a phase shift that is 2 times larger than that of the sine function and in the opposite direction; the amplitude of the cosine function is 2 times that of the sine function.arrow_forwardFor the given function y = -13 cos(−x – 30°), state: Amplitude Phase Shiftarrow_forward
- State the transformations in the correct order that y = sin e undergoes to become the graph of y = -4 sin(0 + 90) + 11 3.arrow_forward1. One cycle of a sine function begins at x = 3 and ends at x = a. Determine the period of the function. b. Determine the phase shift of the function. c. Write the equation of the function in the form y = sin k(x - d)arrow_forward
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