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t-) For each surface below, find the normal vector and equation of the tangent plane at the given point. (a) z = (x² + y²)%; (2,2, 2) (c) z = y tan(x)' (T/4, 1, 7/4). (b) z = esin(ry); (T/2,1, e) (d) z = x"; (3,4,81)

t-) For each surface below, find the normal vector and equation of the tangent plane at the given point. (a) z = (x² + y²)%; (2,2, 2) (c) z = y tan(x)' (T/4, 1, 7/4). (b) z = esin(ry); (T/2,1, e) (d) z = x"; (3,4,81)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(1) . +-) For each surface below, find the normal vector and equation of the tangent plane at the given point. (a) z = (a² + y²)$; (2, 2, 2) (c) z = : (T/4, 1, π/4) y tan(x)' (b) z = ein(=9); (T/2,1, e) z = x"; (3, 4,81)
Transcribed Image Text:(1) . +-) For each surface below, find the normal vector and equation of the tangent plane at the given point. (a) z = (a² + y²)$; (2, 2, 2) (c) z = : (T/4, 1, π/4) y tan(x)' (b) z = ein(=9); (T/2,1, e) z = x"; (3, 4,81)
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