Let f(x, y, z) = x + 2y + 2z (a) Compute the gradient vector at...
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Let f(x, y, z) = x² + 2y² + 2z² (a) Compute the gradient vector at the point P = (2,1,1). Also, find an equation for the tangent plane and parametric equations of the normal line to the level surface f(x, y, z) = 8 at P = (2,1,1). (b) Graph the level surface f(x, y, z) = 8, also, the gradient vector and the normal line at point P = (2,1,1). Let f(x, y, z) = x² + 2y² + 2z² (a) Compute the gradient vector at the point P = (2,1,1). Also, find an equation for the tangent plane and parametric equations of the normal line to the level surface f(x, y, z) = 8 at P = (2,1,1). (b) Graph the level surface f(x, y, z) = 8, also, the gradient vector and the normal line at point P = (2,1,1).
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
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