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The plane y+z=2 intersects the ‘funky’ cylinder x^2 + y^4 =17 in a curve C. A)...

The plane y+z=2 intersects the ‘funky’ cylinder x^2 + y^4 =17 in a curve C.

A) Find a parametric equation of the tangent line to C at the point (4,1,1)

B) How was the direction vector found in part A and how do you know its the right direction?
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