Concept explainers
Walking on a surface Consider the following surfaces specified in the form z = f(x, y) and the oriented curve C in the xy-plane.
- a. In each case, find z’(t).
- b. Imagine that you are walking on the surface directly above the curve C in the direction of positive orientation. Find the values of t for which you are walking uphill (that is, z is increasing).
53.
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