5. Determine f*g a) f(t) = cos(t), g(t) = t b) f(t) = e¹, g(t) = et sin(t)

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Q: An object moves along the x-axis with velocity given by v(t) cos(t) m/s || Suppose that the object's…

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Q: Differentiate the function. 8 + sin(t) f(t) cos(t) (a) f'(t) = Find f'(T). (b) f'(1) =

A: a:Here, f(t) =(8+sin(t))/cos(t)The derivative of f(t) is calculated as follows:

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Q: Question 19 Fourier analysis of the instantaneous value of a waveform can be represented by: y =…

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A: Given,          lx=fx6=cos62x

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A: Given, cosy+x=y We have to find y''.

Q: 8. For the function y = e* + sinx: a. Determine y', y",y",y^),y(5), y(6). b. Describe the pattern…

A: We have to find the differentiations of the give function and find y101.

Q: Given g (x) = x³mx, what is g' (n)?

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Q: Find f. f(t) =|| f"(t) - 3et+ 5 sin t, f(0) = 0, f(T) = 0

A: To find f.f''t=3et+5 sin t, f0=0, fπ=0

Q: use the Chain rule to find derivative: a) y = cot(412 +9) b) y = y = cos (e?) c) d) y = cos(x²) +1…

A: Solve the givens

Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

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A: We have to find the derivative of f(r)

Q: first image attach please do the calculations similar to the second image attach please please…

A: From the given image: