For this problem, fill in each blank with the correct answer. a. Assume that f (0) = 2, f (1) = 0. Then, (7 f' (sin æ) cos x da = b. If f (x) is an even function, then f, x f (x) dæ = c. If f' (t) = e-2t and f (1) = 2e2 then f (0) = d. A particle moving along a straight line has velocity function v (t) = (t – 1) ". The displacement of the particle in the interval (0, 2] is m. The total distance traveled by the particle in the interval [0, 2]is m.

Q: 3. Let h(0) be the height above ground (in feet) of a rider on a Ferris wheel at an angle 0 (in…

A: In order to solve this question we need to use trigonometry applications on ferris wheel.

Q: Differentiate the following functions with respect to x and simplify your as answers as far as…

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Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

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Q: Sketch the function and identify key features: f(x) = 4 · cos(3x) − 7

A: Given: f(x) = 4 · cos(3x) − 7

Q: 3. Find the derivative of f(x) = x²e - √x cos(r).

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Q: Find the following derivatives a. 2 tan-(2x²) b. e-3/5 -3/5 + 2x-3/4

A: Solving the problem by finding the derivative of the below function.

Q: 2. Given the function f (x) = sinx and g(x) = x², find the value of g(fG)

A: Given function are f(x) = sin x   and g(x) = x2 We have to find the value gfπ4

Q: Differentiate the function. y = (cos(4x))*

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Q: Let f(x) = 2 cos x.

A: f(x) = 2  2 cos x = 2  cos x = 1    cos x is equal to 1 when x= ±2nπ where n is a whole number…

Q: Differentiate the function.  f(x)=cos{sin(tan(pi*x))}1/2

A: Given f(x)=cos{sin(tan(pi*x))}1/2

Q: 4. y = sin 2x 1-cos 2x

A: We have to find the derivative of

Q: Find the following higher order derivatives. If f(x) = (2x - 5)53, find f28 (x). If f(x) = sin(3x +…

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Q: Use the figures to evaluate the function if f(x) = sin x. (x, 1) f(a + B)

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Q: If (f°g)(x)=2x-1,how might f(x) and g(x) be defined?

A: (f°g)(x)=2x-1 can be written as f(g(x)) So g(x) is the inner or the first function  And f(x) is…