Consider the function f(x,y) = (e* - x) cos(y). Suppose S is the surface z = f(x, y). (a) Find a vector which is perpendicular to the level curve of f through the point (1,4) in the direction in which f decreases most rapidly. vector =. (b) Suppose v = 67+3}+ak is a vector in 3-space which is tangent to the surface S at the point P lying on the surface above (1,4). What is a?

Consider the function f(x,y) = (e* - x) cos(y). Suppose S is the surface z = f(x, y). (a) Find a vector which is perpendicular to the level curve of f through the point (1,4) in the direction in which f decreases most rapidly. vector =. (b) Suppose v = 67+3}+ak is a vector in 3-space which is tangent to the surface S at the point P lying on the surface above (1,4). What is a?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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