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Chapter 8.1, Problem 23E
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### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

#### Solutions

Chapter
Section
BuyFindarrow_forward

### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

# Graph the curve and visually estimate its length. Then use your calculator to find the length correct to four decimal places.23. y = x2 + x3, 1 ≤ x ≤ 2

To determine

To draw: The curve for the function y=x2+x3.

To find: The length of the curve.

Explanation

Given information:

The curve function is y=x2+x3 (1)

The lower limit is a=1 and the upper limit is b=2.

Calculation:

Draw the graph for the function y=x2+x3 as shown in Figure 1.

Refer Figure 1.

The length of the curve is slightly larger than the hypotenuse of the triangle.

The triangle is formed by the coordination points (1,â€‰2), (1,â€‰12), and (2,â€‰12).

Calculate the length of the hypotenuse as follows:

102+12â‰ˆ10

Therefore, the length of the curve from graph is 10

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th