Question

Find the volume of the solid obtained by rotating the region enclosed by the curves $y = x^2$ and $y = 2x + 63$ about the x-axis. (Use symbolic notation and fractions where needed.) volume:

          Find the volume of the solid obtained by rotating the region enclosed by the curves $y = x^2$ and $y = 2x + 63$ about the x-axis.
(Use symbolic notation and fractions where needed.)
volume:

$Find the volume of the solid obtained by rotating the region enclosed by the curves y = x^2 and y = 2x + 63 about the x-axis. (Use symbolic notation and fractions where needed.) volume:$

Added by Enrique M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Audrey Fong

04/28/2023

Step 1

Setting them equal to each other, we get: x^2 = 2x + 63 Rearranging the equation, we get: x^2 - 2x - 63 = 0 Factoring the quadratic equation, we get: (x - 9)(x + 7) = 0 So, x = 9 or x = -7. Since we are rotating about the x-axis, we will consider the region Show more…

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Question 6 of 9 Find the volume of the solid obtained by rotating the region enclosed by the curves y = x^2 and y = 2x + 63 about the x-axis. (Use symbolic notation and fractions where needed.) Volume:

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