The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? 5- X O 5 3 0 1 4321 -5 3- 2+ 543-2-1⁰ 12345 1 2 3 4 5

Q: The point P(-1,7) lies on the graph of h(x) = 2x + 9. Determine the y-coordinate of the image point…

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Q: sketch the graph of each function. ) y = x(x - 4)(x – 1) | -(x- 1)(x + 2)(x – 3) %3D b) у

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Q: The function f is shown below. If g is the function defined by g(x) =| f(t)dt, determine what could…

A: Given:

Q: Calculate , f(x) dx if the graph of f(x) is 41 2- 4 -2 -2 O 8-T O 8 + 47 O 8 + 27

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Q: Let f(x) = 3x- 4 and let g(x)= 2x+1. Find the given value. flg(1)] flg(1)] = (Type an integer or a…

A: SOL : → g(x) = 2x+1 .           ⇒ g(1) = 2×1 + 1                         = 3

Q: 10-Draw the graph of y=-2 (x-2)²+3 based on the power function f(x)=x' also determine the domain and…

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Q: This is the graph of a function f (x). What is the value of , f (x) dx? (3, 1.5) 1- (0, 0) 3 -2 -1 2…

A: objective is to find the integration.

Q: Find f′′(x). f(x)=(x 2+2)9

A: Given fx=x2+29. The objective is to find f"x.

Q: Sketch a graph of the function f(x) = 2 sin(z) %3D 6+ 5 4 3 -6 -5 -4 -3 -2 -1 -- 6 7 -9 -8 -7 2 3 5…

A: How to solve: make a graph of sin(x) and then transform it one by one:

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Sketch a graph of f(x) (2x - 1 if x 2

A: To sketch the graph f(x) ={  2x-1 if x<2               x-2  if x>=2 for x<2, y=2x-1…

Q: Let g be the function given by g(x) = C (2 – 5t – 14) dt. What is the x-coordinate of the point of…

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Q: g(x) = 4x +9|x| 8x - 12|x|

A: g(x)=4x+9x8x-12xx=x,    x≥0-x,  x<0

Q: Let /(2)-z and g(z)-z+2. Complete the statements to compare the graph of g(x) to the graph of f(x)…

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Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

Q: Consider the following functions. f(x) = x2 - 8x, g(x) = /x + 15 %3D (a) Find (f o g)(x). Find the…

A: Given :           f(x) = x2 - 8x   and  g(x) = x + 15     To find :  a) f ∘ g(x) and the domain of…