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1. The shaded regions R, and R₂, shown below, are enclosed by the graphs of f(x)=x² and g(x) = -2*. R₂ -R₁

1. The shaded regions R, and R₂, shown below, are enclosed by the graphs of f(x)=x² and g(x) = -2*. R₂ -R₁

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A. Find the x- and y-coordinates of the three points of intersection of the graphs of f and g.

B. Estimate the area of R1 to three reasonable places past the decimal.

C. Find the EXACT area of R2. (No calculator approximations)

D. Find the exact volume of the solid formed by revolving R2 about the x-axis. (No calculator approximations)

1. The shaded regions R₁ and R₂, shown below, are enclosed by the graphs of f(x)=−x² and g(x)=−2* . P R₂ -R₁1
Transcribed Image Text:1. The shaded regions R₁ and R₂, shown below, are enclosed by the graphs of f(x)=−x² and g(x)=−2* . P R₂ -R₁1
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D. Find the exact volume of the solid formed by revolving R2 about the x-axis. (No calculator approximations)

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