Answered: Find the area of the region bounded by…

Find the area of the region bounded by f(y) = y/square root(16-y^2), g(y) =0, and y=3. a.) Find the area b.) sketch the region

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.1: The Graphing Method

Problem 24WE

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Find the area of the region bounded by f(y) = y/square root(16-y^2), g(y) =0, and y=3.

a.) Find the area

b.) sketch the region

Thank you.

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Step 1: FInd the points of intersection of y=3, g(y) and f(y)

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Step 2: Draw the sketch

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Step 3: Find the area bounded between the curves

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Step 4: Solve integral by Substitution Method

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Step 5: Integrate and evaluate the Area

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