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Question Number 200929 by Akira181 last updated on 26/Nov/23

$$\mathrm{A}\mathrm{ball}\mathrm{lies}\mathrm{on}\mathrm{the}\mathrm{function}z=xy\mathrm{at}$$$$\mathrm{the}\mathrm{point}(1,2,2).\mathrm{Find}\mathrm{the}\mathrm{point}\mathrm{in}$$$$\mathrm{the}xy-\mathrm{plane}\mathrm{where}\mathrm{the}\mathrm{ball}\mathrm{will}$$$$\mathrm{touch}\mathrm{it}.$$$$\mathrm{Calculus}2\mathrm{problem}.$$

Commented by Akira181 last updated on 26/Nov/23

$$\mathrm{The}\mathrm{ball}\mathrm{always}\mathrm{goes}\mathrm{down}\mathrm{in}\mathrm{the}$$$$\mathrm{direction}\mathrm{of}\mathrm{the}\mathrm{steepest}\mathrm{slope}.$$

Commented by mr W last updated on 02/Dec/23

$$myanswerseeQ201214.please$$$$checkifitiscorrect.$$

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