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The area bounded by the curve y = sin x, y = 0 and x = π/2 is revolved about the line y = 1. Using a horizontal element dA, the expression dV is π So sin² x dx 27 y sin x dy 2π f¹ (1 - y) (arcsin y) dy O 2n Jo (1 – 3) (ệ — arcsin y) dy

The area bounded by the curve y = sin x, y = 0 and x = π/2 is revolved about the line y = 1. Using a horizontal element dA, the expression dV is π So sin² x dx 27 y sin x dy 2π f¹ (1 - y) (arcsin y) dy O 2n Jo (1 – 3) (ệ — arcsin y) dy

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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The area bounded by the curve y = sin x, y = 0 and x = π/2 is revolved about the line y = 1. Using a horizontal element dA, the expression dV is π Tf² sin² x dx ○ 2π f₁¹ y sin x dy S ○ 2π ¹ (1 - y) (arcsin y) dy ○ 2π ¹ (1 - y) ( 7 – arcsin y) dy
Transcribed Image Text:The area bounded by the curve y = sin x, y = 0 and x = π/2 is revolved about the line y = 1. Using a horizontal element dA, the expression dV is π Tf² sin² x dx ○ 2π f₁¹ y sin x dy S ○ 2π ¹ (1 - y) (arcsin y) dy ○ 2π ¹ (1 - y) ( 7 – arcsin y) dy
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