Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or yy. Then find the area of the region. y=3x, y=4x^2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or yy. Then find the area of the region.

y=3x, y=4x^2
Expert Solution
Step 1

The given curves are y=3x and y=4x2.

Sketch the curves as shown in the figure below.

Calculus homework question answer, step 1, image 1

From the above figure, the shaded region is the required region enclosed by the given curves.

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