Find a vector valued function that represents the intersection of a sphere w/ a radius of √68 and a plane with a trace of y=x^3 on the xy plane that extends orthogonally into the positive z. Sketch the curve created by the vector value function including the sphere and the plane. A computer generated sketch w/ annotation is acceptable

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 10E
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Find a vector valued function that represents the intersection of a sphere w/ a radius of √68 and a plane with a trace of y=x^3 on the xy plane that extends orthogonally into the positive z. Sketch the curve created by the vector value function including the sphere and the plane. A computer generated sketch w/ annotation is acceptable.

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