For Exercises 43–46, suppose that an object moves in simple harmonic motion with displacement d (in centimeters) at time t (in seconds). Determine the a. Amplitude b. Period c. Frequency d. Phase shift 43. d = -8 cos 44. d = 5sin30Tt 45. 4 = 2an(1 -) 46. 4 = ) 45. d = 2sin( t 3 46. d = cos

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A: ∫12cos2xdx

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A:

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A: The functions: 17. y=1.5 sin 2x 18. y=2 cos 3x

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A:

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A: To sketch the graph of the function

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A: The Graph of given function y=2cot(x+(pi)/(2) shown on board :

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A: calculation of above requirement are as follows

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A:

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A: We can find the period and phase shift as below using the general equation of wave.

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A: .We will verify the given identity.Below find the solution in image.

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