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Algebra & Trigonometry with Analytic Geometry

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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Consider the function f(x, y) = (eª − 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 (4, 2) in the direction in which f
decreases most rapidly.
vector =
(b) Suppose v = 77 +73+ ak is a vector in 3-space
which is tangent to the surface S at the point P lying on
the surface above (4, 2). What is a?
a =

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