Let R be the region that is above the x-axis and enclosedbetween the curve b2x2 a2y2 =

Chapter 10, Problem 49

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Let R be the region that is above the x-axis and enclosed between the curve $b^{2} x^{2}-a^{2} y^{2}=a^{2} b^{2}$ and the line $x=\sqrt{a^{2}+b^{2}}$

(a) Sketch the solid generated by revolving R about the x-axis, and find its volume.

(b) Sketch the solid generated by revolving R about the y-axis, and find its volume.

Equation Transcription:

${b}^{2}{x}^{2}-{a}^{2}{y}^{2}={a}^{2}{b}^{2}$

$x=\sqrt{{a}^{2}+{b}^{2}}$

Text Transcription:

b^2 x^2 -a^2 y^2 =a^2 b^2

x=sqrt a^2 + b^2

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