Solved: Give the standard equation of a sphere of radius centered at x0, y0, z0

Chapter 10, Problem 106

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Think About It   Use a graphing utility to graph the polar equation \(r=6[1+\cos (\theta-\phi)]\) for (a) \(\phi=0\), (b) \(\phi=\pi / 4\), and (c) \(\phi=\pi / 2\). Use the graphs to describe the effect of the angle \(\phi\). Write the equation as a function of \(\sin \theta\) for part (c).

Text Transcription:

r=[6+cos(theta-phi)]

phi=0

phi=pi/4

phi=pi/2

phi

sin theta

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