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Chapter 12: Q. 61. (page 965)

Ian is travelling along a glacier. The elevation of the glacier

in his area is described by the function

f(x,y)=1.2鈭�0.2x2鈭�0.3y2+0.1xy鈭�0.25x,

where x,y and f are given in miles.

(a) What is the direction that Ian would need to go

to descend most steeply if he is at the point

0.5,-0.5?

(b) In what direction would Ian have to turn in order to

contour (i.e., , neither ascend nor descend) across the

glacier?

Short Answer

Expert verified

ab cd

Step by step solution

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