Solved: ?Sketch the region enclosed by the given curves. Decide whether to integrate

Chapter 5, Problem 17

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QUESTION:

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.

\(x=1-y^{2}, \quad x=y^{2}-1\)

Questions & Answers

QUESTION:

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.

\(x=1-y^{2}, \quad x=y^{2}-1\)

ANSWER:

Step 1 of 3

Given:

The equation of the first curve is:

This on further solving looks like:

is a parabola with center

The equation of the second curve is:

This on further solving looks like:

is a parabola with center

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