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Solved: ?Sketch the region enclosed by the given curves. Decide whether to integrate
Chapter 5, Problem 17(choose chapter or problem)
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