Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter E, Problem 13PS
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Draw a graph of the given trigonometric function.
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- Find the equation of a cosine wave that is obtained by shifting the graph of y = cos x to the left 9 units and upward 3 units and that is horizontally compressed by a factor of 10 when compared to y = cos x.arrow_forwardGraph y = 4 sin 5x cos 3x - 4 cos 5x sin 3x from x =0 to x = 2p.arrow_forwardIf y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2arrow_forward
- Find the equation of the line tangent to the graph ofy = 3 sin x + cos 2x at x = π/2arrow_forwardThe graph of y = A sin(Bx - C) has phase shift_______ . If this phase shift is positive, the graph of y = A sin Bx is shifted to the______ . If this phase shift is negative, the graph of y = A sin Bx is shifted to the______ .arrow_forward1. Describe any phase shift and vertical shift in the graph. y = 3sinx+1 y = sin(x+π/2)+2arrow_forward
- In this problem, how would I find the values for the amplitude, period, midline y, and the phase shift for this given problem?arrow_forwardFind the function y = f(x) whose graph passes through the point (5π/12,3.5)if dy/dx =cos(2x−π/3).arrow_forwardWhat should I do to graph functions of the form y = A sin Bx if B is negative?arrow_forward
- Graph y = sin x + cos x for x between 0 and 4p.arrow_forwardGraph function over a one period interval. Y=sec ( x + π/4)arrow_forwardIn Problems 15–18, write the equation of a sine function that has the given characteristics. 15. Amplitude: 2 Period: π Phase shift: 1/2 16. Amplitude: 3 Period: π/2 Phase shift: 2 17. Amplitude: 3 Period: 3π Phase shift: - 1/3 18. Amplitude: 2 Period: π Phase shift: - 2arrow_forward
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