The figure below shows f. (Click on the graph for a larger version.) If F' = f and F(0) = 0, find F(b) for b =1, 2, 3, 4, 5, 6, and fill these values in the following table. 1 3 4 F(b)

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A: We will find the value of g'(5) as following.

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Q: y 5- f 3 Зл -2 A 2 2 2 -2- -3- -4- -5- 2.

A: For the function f(x) = a sin(bx − c), Amplitude = a Period = 2π/b Phase shift(Horizontal) = c/b

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Q: The figure above shows the graph of f′ , the derivative of function f, for −6<x<8 . Of the…

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Q: 4. Let f(x) = vx – 2; a = 2. a) Show that f is a one-to-one function, b) Find (f-1)'(a), c) Find…

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Q: Use the given graph to estimate the value of each derivative.  (a) f ′(−3) (b) f ′(−2) (c) f ′(−1)…

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Q: The derivative f′(x) is graphed in the figure above. Fill in the table of values for f(x) given that…

A: Formula used:  fx = fa + ∫axf'xdx                                                    1   Equation of…

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Q: F:(- 2, 2] → R, F(x) = [, (t- 3)(f² + 1) dt

A: Given, Fx = ∫-2x2t - 3t2 + 1 dtFx = ∫-2x2t3 - 3t2 + t - 3 dtFx = t44 - 3t33 + t22 - 3t-2x2Fx = x44 -…

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Q: Question 8  what does f(x) = ___

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Q: If f'(x) = -f(x) and f(1) = 1, what is f(x)? %3D f(x) =e-2x+2 f(x) = e-x-1 Option 1 Option 2 f(x) =…

A: Topic - function and its derivative

Q: The table below gives selected values for the differentiable and decreasing function f and its…

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Q: Question 3. The following figure shows the graph of the derivative f' of a function f, where f is…

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Q: Find f o g o h. 1. f(x)=x-1 , g(x)=√x , h(x)=x-1  2. f(x)=x^4 + 1 , g(x)=x-5 , h(x)=√x Please…

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Q: Suppose ƒ is an odd function,Evaluate function

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A: Image is attached with detailed solution.

Q: The following table has the inputs, x, and the outputs for a function f. Use third differences to…

A: Given: The table of the input x and output f is x 0 1 2 3 4 5 f(x) 0 3 9 26 81 196

Q: Find a, b, and c for the function f(x) = a sin(bx - c) such that the graph of f matches the figure.…

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Q: If f is the functions whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f…

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Q: 2. Each of the following tables shows a collection of points (x, f (x)) from a function f. For each…

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