Solved: ?For the following two exercises, consider a spherical ring, which is a sphere
Chapter 5, Problem 175(choose chapter or problem)
For the following two exercises, consider a spherical ring, which is a sphere with a cylindrical hole cut so that the axis of the cylinder passes through the center of the sphere (see the following figure).
Apply the preceding exercise to calculate the integral
\(\iint_{D} \frac{y^{2}}{x^{2}} d A\), where D = \(\left\{(r, \theta) \mid 1 \leq r \leq 2, \frac{\pi}{6} \leq \theta \leq \frac{\pi}{3}\right\}\)
Text Transcription:
iint_D_frac.y^2/x^2d.A.
D=left(r,theta)mid.1leq_r_leq2,frac.pi/6leq_theta_leq_frac.pi/3right
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