Question

3. Suppose that you are climbing a hill whose shape is given by the equation z=1000 - 0.01x-0.02y?, and you are standing at a point with coordinates (60, 100,764). In which direction should you proceed initially in order to reach the top of the hill fastest? 4. Find and classify all critical points of the function h(x,y) = 223+73 - 3x2 - 12. - 3y. Use the second derivative test when appropriate.

Answer 1

0.0127 0.027²_3-1000= f( 19 ) fx= 0.024 = 1.2 - очу = ч of VA max direction is of = 1.2i tuj-k. 1. 2it us k 1.21+4j-x 51.22 +1641 1.3i+US-K - 10.27ai +0.93; - 0.2324 4. 294

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