Question

Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 3y2, 1 ≤ y ≤ 2

Name: find the exact area of the surface obtained by rotating the curve about the x axis x 1 3y2 1 y 2 70082
Uploaded: 2024-04-27T11:39:03-08:00
Duration: 4 min 10 s
Channel: Adi S
Description: find the exact area of the surface obtained by rotating the curve about the x axis x 1 3y2 1 y 2 70082

          Find the exact area of the surface obtained by rotating the curve about the x-axis.
x = 1 + 3y2,    1 ≤ y ≤ 2

Added by Christopher M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

04/27/2024

Step 1

First, we need to find the derivative of the curve with respect to y. $$\frac{dx}{dy} = \frac{d(1+3y^2)}{dy} = 6y$$ Show more…

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Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 3y2, 1 ≤ y ≤ 2

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Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 3y2, 1 ≤ y ≤ 2

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