   Chapter 5.R, Problem 18E

Chapter
Section
Textbook Problem

# Let ℜ be the region bounded by the curves y = 1 − x 2 and y = x 6 − x + 1 . Estimate the following quantities.(a) The x -coordinates of the points of intersection of the curves(b) The area of ℜ (c) The volume generated when ℜ . is rotated about the x -axis(d) The volume generated when ℜ , is rotated about the y -axis

To determine

a)

To estimate:

The x  coordinates of the points of intersection of the curves.

Explanation

1) Concept:

Draw the graph of the given curves, and find the point of intersection.

2) Given:

y=1-x2,y=x6-x+1

3) Calculation:

The equation of curve is

y=1-x2,y=x6-x+1

Draw the given curves

To determine

b)

To estimate:

The area of R

To determine

c)

To estimate:

The volume obtained by rotating R  about x  axis.

To determine

d)

To estimate:

The volume obtained by rotating R  about y   axis.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 