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.
57. z = x2 – 2y2 + 4; C: x = 2 cos t, y = 2 sin t, for 0 ≤ t ≤ 2π
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage