The approximate value of f ′ ( x ) when f ( x ) = | sin x | if the function is differentiable at the point a = 0 .

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Answer 1

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

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1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b) the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the 8-second period. t 0 2 4 6 8 V 10 15 12 10 16 2. Find the midpoint rule approximation for (a) n = 4 +5 x²dx using n subintervals. 1° 2 (b) n = 8 36 32 28 36 32 28 24 24 20 20 16 16 12 8- 4 1 2 3 4 5 6 12 8 4 1 2 3 4 5 6

= 5 37 A 4 8 0.5 06 9

Consider the following system of equations, Ax=b : x+2y+3z - w = 2 2x4z2w = 3 -x+6y+17z7w = 0 -9x-2y+13z7w = -14 a. Find the solution to the system. Write it as a parametric equation. You can use a computer to do the row reduction. b. What is a geometric description of the solution? Explain how you know. c. Write the solution in vector form? d. What is the solution to the homogeneous system, Ax=0?

Answer 2

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

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Answer 3

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Expert Solution & Answer

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Answer 5

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 6

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

Answer 7

Chapter 16.2, Problem 45E

(a)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

Answer 8

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 9

(b)

To determine

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - Prob. 5E Ch. 16.1 - Prob. 6E Ch. 16.1 - Prob. 7E Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E

The approximate value of f ′ ( x ) when f ( x ) = | sin x | if the function is differentiable at the point a = 0 .

Solution Summary: The author explains that the function is not differentiable at a=0, but the value is -1and1 respectively.

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To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=0.

To calculate: The approximate value of f′(x) when f(x)=|sinx| if the function is differentiable at the point a=1.

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