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  3. the plane y + z = 7 intersects the cylinder x2 + y

The plane y + z = 7 intersects the cylinder x2 + y2 = 41 in an ellipse. Find...

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Question

Basic Math

The plane

y + z = 7

intersects the cylinder

x2 + y2 = 41

in an ellipse. Find parametric equations for the tangent line tothis ellipse at the point

(4, 5, 2).

(Enter your answer as a comma-separated list of equations. Letx, y, and z be in terms oft.)

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