Explanation Given information: The given Equation is z = 2 sin x cos y . The value R for x varies from 0 to π / 2 . The value R for y varies from 0 to π / 4 . Calculation: Write the given Equation as follows: ∫ 0 π / 2 ∫ 0 π / 4 ( 2 sin x cos y ) d y d x (1) Integrate Equation (1) with respect to y and kept x as constant. ∫ 0 π / 2 ∫ 0 π / 4 ( 2 sin x cos y ) d y d x = ∫ 0 π / 2 { ∫ 0 π / 4 ( 2 sin x cos y ) d y } d x = ∫ 0 π /

Pearson eText University Calculus: Early Transcendentals -- Instant Access (Pearson+)

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ISBN: 9780136880912

Author: Joel Hass, Christopher Heil

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Chapter 14.1, Problem 33E

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Calculate the volume of the region bounded above by the surface and below by the rectangle.

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Chapter 14.1, Problem 32E

Chapter 14.1, Problem 34E

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Pearson eText University Calculus: Early Transcendentals -- Instant Access (Pearson+)

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