# Theory and ExamplesFind the point on the sphere 2 + ()2 +

## Problem 65E Chapter 12.1

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 65E

Theory and Examples

Find the point on the sphere 2 + ()2 + ()2 = 4 nearest

a. the xy-plane. b. the point (0, 7, -5).

Step-by-Step Solution:
Step 1 of 3

MATH 2450 WEEK 6 Chain Rule in Higher Dimensions g(t) = df(x(t) , y(t))= ∂f * dx + ∂f * dy dt ∂x dt ∂y dt R(t) = < x(t), y(t), f( x(t), y(t) ) df(g(t)) = df * dg dt dg dt 2 EX. Use the chain rule to find the df/dt of the function f(x,y) = x + 3xy where x(t) = cos(t) and y(t) = sin(t) Fx= 2x + 3y Fx=...

Step 2 of 3

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