BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 2, Problem 31RE

a.

To determine

To estimate the value of f'(1) for the given function graphically and numerically.

Expert Solution

Answer to Problem 31RE

  0.7357

Explanation of Solution

Given:

The given function is f(x)=ex2

Calculation:

The following is the graph of the given function-

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2, Problem 31RE , additional homework tip  1

The equation of f'(x) is 2xex2 value which would be approx 0.7357 .

b.

To determine

To find an approximation equation of the tangent line to the curve y=ex2 at the point where x=1 .

Expert Solution

Answer to Problem 31RE

  y=0.36780.7357(x1)

Explanation of Solution

Given:

The given function is f(x)=ex2

Calculation:

The value of f'(1)=0.73575 and the value of f(1)=0.3678

So, tangent line y=0.36780.7357(x1)

c.

To determine

To illustrate part (b) by graphing the curve.

Expert Solution

Explanation of Solution

Given:

The given function is f(x)=ex2

Calculation:

The following is the graph of the given function-

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 2, Problem 31RE , additional homework tip  2

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