To prove: Prove that f ″ ( a ) ≈ f ( a + h ) − 2 f ( a ) + f ( a − h ) h 2

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Answer 1

Question

Chapter 3.2, Problem 52E

a.

To determine

To prove: Prove that f″(a)≈f(a+h)−2f(a)+f(a−h)h2

b.

To determine

To calculate: Calculate f″(1) .

c.

To determine

To calculate: Find exact value.

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Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3 and Ay = 0.05. dz = Now find Az and compare it to your answer above Ax= Hint: If entering a decimal, round to at least 5 places

Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and Ay = -0.15. dz Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 places

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Answer 2

Question

Chapter 3.2, Problem 52E

a.

To determine

To prove: Prove that f″(a)≈f(a+h)−2f(a)+f(a−h)h2

b.

To determine

To calculate: Calculate f″(1) .

c.

To determine

To calculate: Find exact value.

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Answer 3

Question

Chapter 3.2, Problem 52E

a.

To determine

To prove: Prove that f″(a)≈f(a+h)−2f(a)+f(a−h)h2

b.

To determine

To calculate: Calculate f″(1) .

c.

To determine

To calculate: Find exact value.

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Answer 4

Question

Chapter 3.2, Problem 52E

a.

To determine

To prove: Prove that f″(a)≈f(a+h)−2f(a)+f(a−h)h2

b.

To determine

To calculate: Calculate f″(1) .

c.

To determine

To calculate: Find exact value.

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Answer 5

Chapter 3.2, Problem 52E

a.

To determine

To prove: Prove that f″(a)≈f(a+h)−2f(a)+f(a−h)h2

b.

To determine

To calculate: Calculate f″(1) .

c.

To determine

To calculate: Find exact value.

Answer 6

Chapter 3.2, Problem 52E

a.

To determine

To prove: Prove that f″(a)≈f(a+h)−2f(a)+f(a−h)h2

Answer 7

Chapter 3.2, Problem 52E

a.

To determine

To prove: Prove that f″(a)≈f(a+h)−2f(a)+f(a−h)h2

Answer 8

b.

To determine

To calculate: Calculate f″(1) .

Answer 9

b.

To determine

To calculate: Calculate f″(1) .

Answer 10

c.

To determine

To calculate: Find exact value.

Answer 11

c.

To determine

To calculate: Find exact value.

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - Prob. 10E

To prove: Prove that f ″ ( a ) ≈ f ( a + h ) − 2 f ( a ) + f ( a − h ) h 2

Solution Summary: The author explains how to prove that f′′(a)approx

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To prove: Prove that f″(a)≈f(a+h)−2f(a)+f(a−h)h2

To calculate: Calculate f″(1) .

To calculate: Find exact value.

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Chapter 3.2 Solutions