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Graph the curve with parametric equations$$ x = \sqrt{1 - 0.25 \cos^2 10t} \cos t $$$$ y = \sqrt{1 - 0.25 \cos^2 10t} \sin t $$$$ z = 0.5 \cos 10t $$Explain the appearance of the graph by showing that it lies on a sphere.

see work for graph

Calculus 3

Chapter 13

Vector Functions

Section 1

Vector Functions and Space Curves

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