Walking on a surface Consider the following surfaces and parameterized curves C in the xy-plane.
a. In each case, find z' (t) on C.
b. Imagine that you are walking on the surface directly above C consistent with the positive orientation of C. Find the values of t for which you are walking uphill.
56. z = 4x2 + y2 – 2; C: x = cos t, y = sin t, for 0 ≤ t ≤ 2π
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