can you please do number 7 and show me step by step. Page <> of 2ZOOM+= Zху, (1,1,1)5.) Use the chain rule to find əz/ðs and ðz/ðt. Write your answer exclusively in terms of sand t.zan ).z = tanu = 2s + 3t, v = 3s – 2t6.) f(x,y,z) = x²yz – xyz',Р(2, —1,1), и —= (0.;--)a. Find the gradient of f.b. Evaluate the gradient at the point P.c. Find the rate of change of f at P in the direction of the vector u.7.) Use Lagrange multipliers to find the maximum and minimum values of the functionsubject to the given constraint.f (x, y, z) = 2x + 2y + z;x² + y² + z² = 9

We have to find the maximum and minimum value of function f(x, y, z) = 2x +2y+z With constraint…

Answered: 7.) Use Lagrange multipliers to find…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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7.) Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f (x,y, z) = 2x + 2y + z; x² + y? + z? = 9