Substitute those values in equation (1). . Therefore, the area of the surface obtained by rotating the curve x = 1 + 4y2 about the y - axis from y = 1 to y = 2 is 418.07π
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In this final section of looking at calculus applications with parametric equations we will take a look at determining the surface area of a region obtained by rotating a
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Sorted by: 1. In order to solve this problem, we need to use the following equation: S A = 2 π ∫ a b y 1 + ( d y d x) 2 d x. Where y, in this case, is given by: y = 5 − x. And, as you
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Example 1 Determine the surface area of the solid obtained by rotating y =√9−x2 y = 9 − x 2, −2 ≤ x ≤ 2 − 2 ≤ x ≤ 2 about the x x -axis. Show Solution Previously we made the comment that we could use either ds d s in