Use the result of Exercise 37 to show that the spherex2 + y2 + z2 = a2 and the cone z2 =
Chapter 13, Problem 38(choose chapter or problem)
Use the result of Exercise 37 to show that the sphere \(x^{2}+y^{2}+z^{2}=a^{2}\) and the cone \(z^{2}=x^{2}+y^{2}\) are orthogonal at every point of intersection (see the accompanying figure).
Equation Transcription:
Text Transcription:
x^2 +y^2 +z^2 =a^2
z^2 =x^2 +y^2
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