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and fy = 3. The equation of the tangent plane to the surface given by z = f(x, y) at the point (xo, yo) is given by Je L(x, y) = f(xo, yo) +f.(xo, yo)(x – xo) +f,(xo, yo)(y – yo) where f. = af and af dx Surtace Tangernt ple Lnear apormanon Determine L(x, y) for the surface f(x, y) = tan-(x +4y) at the point (xo, yo) = (1,0) (Calculator set to radians and use 2 decimal point accuracy).

and fy = 3. The equation of the tangent plane to the surface given by z = f(x, y) at the point (xo, yo) is given by Je L(x, y) = f(xo, yo) +f.(xo, yo)(x – xo) +f,(xo, yo)(y – yo) where f. = af and af dx Surtace Tangernt ple Lnear apormanon Determine L(x, y) for the surface f(x, y) = tan-(x +4y) at the point (xo, yo) = (1,0) (Calculator set to radians and use 2 decimal point accuracy).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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Question
3. The equation of the tangent plane to the surface given by z = f(x, y) at the point (xo, yo) is given by af and L(x, y) = f(xo, yo) +fx(xo, yo)(x – xo) +f,(xo, yo)(y – yo) where f. дх Je ду Surtace Tangent plane Lincar approximanon Determine L(x, y) tor the surface f(x, y) = tan-|(x² + 4y) at the point (xo, yo) = (1,0) (Calculator set to radians and use 2 decimal point accuracy).
Transcribed Image Text:3. The equation of the tangent plane to the surface given by z = f(x, y) at the point (xo, yo) is given by af and L(x, y) = f(xo, yo) +fx(xo, yo)(x – xo) +f,(xo, yo)(y – yo) where f. дх Je ду Surtace Tangent plane Lincar approximanon Determine L(x, y) tor the surface f(x, y) = tan-|(x² + 4y) at the point (xo, yo) = (1,0) (Calculator set to radians and use 2 decimal point accuracy).
Expert Solution
Step 1

When partial differentiation is done with respect to a specific variable, then all other variables are treated as constants.

Let z=f(x, y). If ∂z∂x is calculated, then the variable y is treated as a constant. If ∂z∂y is calculated, then the variable x is treated as a constant. 

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