Find the equation for the plane tangent to each surface z = f(x, y) at the indicated point. (a) z = x 3 + y
Find the equation for the plane tangent to each surface z = f(x, y) at the indicated point.
(a) z = x 3 + y 3 - 7xy, at the point (1, 2, -2)
(b) z = (cos(x))(cos(y)), at the point (0, π/2, 0)
(c) z = (cos(x))(sin(y)), at the point (0, π/2, 1)
Step by Step Solution
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There are 3 Steps involved in it
Step: 1
a Let z fx y x 3 y 3 7xyx 0 y 0 z 0 1 2 2 Equation of the tangent plane at x 0 y 0 z 0 is Now ...
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Step: 3
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Authors: Allan G. Bluman
10th Edition
1259755330, 1259755339, 978-1259755330
