   Chapter 5.3, Problem 46E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

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

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Sketch the region enclosed by the given curves and calculate its area.y = x3, y = 0, x = 1

To determine

To draw: the region enclosed by given curves.

To Calculate: the area of enclosed region.

Explanation

Given information:

Show the function of the curve with the given variables (y=0,x=1) as follows.

y=x3 (1)

Calculation:

Find the x value using Equation (1).

Substitute 0 for y in Equation (1).

y=x30=x3x=0

Hence, the co-ordinate value of (x,y) is (0,0).

Find the y value using Equation (1).

Substitute 1 for x in Equation (1).

y=x3=13=1

Hence, the co-ordinate value of (x,y) is (1,1).

Plot the area of the region using the calculated values of (x,y) co-ordinates

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