Construct the differences table and then find 1. f (x) when x 112 2. f(x) when x = 112 100 110 120 130 140 F(x) 7 13 21 31

Q: Evaluate the function f(x) = Va at the given values. f(9) = 4 9

A: To evaluate the given function at the given values

Q: Compute the difference quotient  f(x+h)-f(x)/h    , for the function below.…

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Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =…

A: f(x) =x2f(x+h) = (x+h)2                   h≠0

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: Find f'(x) for the function. 2 f(x) = x + /x

A: Given fx=x2+x. We need to find f''(x).

Q: Compute the difference quotient, f(x+h)-f(x) for the function f(x) =x", and simplify.

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Q: Suppose that f(x) is a function with f(110)=79 and f′(110)=8 Estimate f(108.5) f(108.5)=

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Q: compute and simplify the difference quotient f(x+h)-f(x)/h h cannot equal 0 for f(x)= 5x-14

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Q: Evaluate the function h(x) = [[x + 9]] for x = –4.

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Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =…

A: fx=x

Q: Use the table to evaluate f'(1). 1 2 3 f(x) 2 4 1 43

A: According to the definition of the inverse function a = f—1(1) if  f(a) = 1 a is the value of x f(x)…

Q: Find The difference quotient f(a+h)-f(a) where h 0. f(x) = X h x +4

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Q: Evaluate f(x + 4) for the function f(x) = x - 2x

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Q: Construct the differences table and then find 1. f(x) when x = 112 2. f(x) when x = 112 100 110 120…

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Q: Evaluate the difference quotient f(x+h)-f(x) for f(x) = 7 h x+3

A: Difference Quotient: Here is the solution of the given problem below:

Q: Find the difference quotient of the function f(x) = Vx + 5 and simplify your answer as much as…

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Q: Evaluate the difference quotient f(x+h)– f(x) 3 for the function f(x)=- and simplify. х

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Q: Let f(x) = x' – 5x. Calculate the difference quotient f(2+h)-f(2) for h = .1 h = .01 h = -.01 h =…

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Q: Evaluate the difference quotient (f(x+h)−f(x))/h for the function f(x)=9−(1/2)x^2

A: Answer and explanation is given below..

Q: Determine f(x) given f"(x) = 60x* 60x² , f'(1) = 6 , f(-1) = 14.

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Q: Evaluate the function for  f(x) = x + 3  and  g(x) = x2 − 2. (f + g)(t − 7)

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Q: Evaluate (f · g) (x) , where х— 061 1 f (x) x+3 g (x) x-2

A: Function value at a point is obtained by substituting the point in the function definition. Product…

Q: If (f/g)(x) =x−2 and g(x)=x+2, what is f(x)?

A: If (f/g)(x) =x−2 and g(x)=x+2, what is f(x)?

Q: Evaluate the difference quotient f(a+h)-f(a) for the function f(x) = x² + 4x - 5. h 2a +h+4 h+4 2a +…

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Q: Suppose that f(x) is a function with f(85) = 76 and f'(85) = 1. Estimate f(84). %3D f(84) =

A: f(85) = 76 f'(85) = 1 f(84)  = ?

Q: Consider this function: f(x) 2. 4. 5. 9. 17 8. 9 10 What is f(7)? 3.

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Q: Suppose that f(x) is a function with f(110) = 25 and f'(110) = 2. Estimate f(111.5). f(111.5) =

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Q: Construct the differences table and then find 1. f(x) when x = 112 2. f(x) when x 112 100 110 120…

A: Steps to the forward difference table is shown below.

Q: Suppose the units of f(x) are square meters, when x is measured in persons. The units of f'(x) will…

A: Given, The units of fx are square meters, where x is measured in persons We have to find the units…

Q: Consider the function below. x2 f(x) = x2 25

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Q: Suppose that f(x) is a function with f(85) = 49 and f'(85)= 3. Estimate f(80). f(80) =

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Q: Suppose that f(x) is a function with f(125)=52 and f′(125)=9 Estimate f(126.5)

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Q: Find the difference quotient f(x+h-f(x)/h (assume h is not equal to 0) for           F(x)=2x-3x^2

A: Given : Fx =2x - 3x2

Q: Complete the table. f(x) =    36 − x2,   x < 6 x − 6,   x ≥ 6   x 4 5 6 7 8 f(x)

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Q: Find and simplify the difference quotient f(a + h} – f(a) for the function. (x) = 5Vx

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Q: Suppose that f(x) is a function with f(150)=49 and f′(150)=1. Estimate f(153).f(153)=

A: we have to approximate function f(x) at x=153 using linear approximation method,which is given by

Q: Evaluate the difference quotient f(a + h) - f(a) / h for the function f(x) = x ^ 2 + 4x - 5

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Q: Find f '(x) for f(x) = x15

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Q: Find f'(x) for the given f(x).

A: Our aim is to differentiate the following function f(x) given below:-

Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =…

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Q: Evaluate the function f at the indicated value. 6x + 7, if x s 0 f(4) for f(x) = {4 - 3x, if 0<x < 3…

A: Solution of question as follows

Q: Find the difference quotient f(x+h)−f(x) / h   (assume h≠0) for: f(x)=2x2 +2x+2

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Q: 2. Suppose that f(x) is a function with f(20) = 345 and f'(20)=6. Estimate f(22). [4 marks]

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Q: suppose that f(x) is a function with f(150) = 49 and f '(150) = 3. estimate f(154). f(154) = ____

A: To solve the given problem use the following formula. f(x) = f(x0) + f '(x0) (x - x0)

Q: Compare f(x)=x^6 and g(x)=6^x by evaluating both functions at x=9.

A: Given functions, f(x)=x6      and     g(x)=6x

Q: Let f(x) = /x. Does f(5+ h) equal 5+ h or /5 + /h? Compute the difference quotient at a = 5 with h =…

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Q: Compute the difference quotient f(x+h)−f(x)h for the function given below. f(x)=−2x2−3x+1

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Q: Evaluate the function for f(x) = x + 3 and g(x) = x² – 2. (f + g)(t – 4) (f + g)(t – 4) =

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