The value of f ′ ( 3 ) for the function f ( x ) = − 4 x 2 + 11 x at h = 0.1 and also find the approximation value using f ( x + h ) − f ( x ) h and the formula in Exercise 47.

Question

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Answer 1

Question

Chapter 11.4, Problem 48E

(a)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(b)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(c)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(d)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(e)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(f)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(g)

To determine

To discuss: Which approximation formula give better accuracy.

Expert Solution & Answer

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Answer 2

Question

Chapter 11.4, Problem 48E

(a)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(b)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(c)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(d)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(e)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(f)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(g)

To determine

To discuss: Which approximation formula give better accuracy.

Expert Solution & Answer

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Answer 3

Question

Chapter 11.4, Problem 48E

(a)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(b)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(c)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(d)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(e)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(f)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(g)

To determine

To discuss: Which approximation formula give better accuracy.

Expert Solution & Answer

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Answer 4

Question

Chapter 11.4, Problem 48E

(a)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(b)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(c)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(d)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(e)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(f)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(g)

To determine

To discuss: Which approximation formula give better accuracy.

Expert Solution & Answer

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Answer 5

Chapter 11.4, Problem 48E

(a)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(b)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(c)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(d)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(e)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(f)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

(g)

To determine

To discuss: Which approximation formula give better accuracy.

Answer 6

Chapter 11.4, Problem 48E

(a)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 7

Chapter 11.4, Problem 48E

(a)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 8

(b)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 9

(b)

To determine

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 10

(c)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 11

(c)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 12

(d)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 13

(d)

To determine

To find: The value of f′(3) for the function f(x)=−2x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 14

(e)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 15

(e)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 16

(f)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 17

(f)

To determine

To find: The value of f′(3) for the function f(x)=x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

Answer 18

(g)

To determine

To discuss: Which approximation formula give better accuracy.

Answer 19

(g)

To determine

To discuss: Which approximation formula give better accuracy.

Answer 20

Expert Solution & Answer

Answer 21

Expert Solution & Answer

Answer 22

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Answer 23

Ch. 11.1 - Find limx1(x2+2).Ch. 11.1 - Find limx2x24x2.Ch. 11.1 - Prob. 3YT Ch. 11.1 - Prob. 4YT Ch. 11.1 - Prob. 5YT Ch. 11.1 - Prob. 6YT Ch. 11.1 - Prob. 7YT Ch. 11.1 - Prob. 8YT Ch. 11.1 - Prob. 1WE Ch. 11.1 - Prob. 2WE

The value of f ′ ( 3 ) for the function f ( x ) = − 4 x 2 + 11 x at h = 0.1 and also find the approximation value using f ( x + h ) − f ( x ) h and the formula in Exercise 47.

Solution Summary: The author explains how to calculate the derivative of the function f at x and the approximation value using c.

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To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

To find: The value of f′(3) for the function f(x)=−4x2+11x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

To find: The value of f′(3) for the function f(x)=−2x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

To find: The value of f′(3) for the function f(x)=−2x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

To find: The value of f′(3) for the function f(x)=x at h=0.1 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

To find: The value of f′(3) for the function f(x)=x at h=0.01 and also find the approximation value using f(x+h)−f(x)h and the formula in Exercise 47.

To discuss: Which approximation formula give better accuracy.

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