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Question

find an equation for the plane tangent to the surface z=x^4+y^4 at the point (1,1,2).

Submitted: 219 days and 4 hours ago.

Category: Math

Value: $12

Status: CLOSED

Level: 2nd year arts -3rd level; Subject: calculus

Accepted Answer

Hi again,

General equation is the following,

z-zo = fx(xo,yo)(x-xo) + fy(xo,yo)(y-yo)

where fx is the first partial derivative with respect to x and fy is the first partial derivative with respect to y,

fx = 4x^3 → fx(1,1) = 4
fy = 4y^3 → fy(1,1) = 4

Plug these in the above equation,

z - 2 = 4(x - 1) + 4(y - 1)

z - 2 = 4x - 4 + 4y - 4

4x + 4y - z = 6

Accepts:
Expert:	abozer
Pos. Feedback:	99.9 %
Answered:	4/17/2009

Math Answer Team

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