- #1

KTiaam

- 53

- 1

## Homework Statement

Find the linearization of the function ƒ(x,y) = sqrt(29 - 4x

^{2}- 4y

^{2}) at the point (2,1)

## Homework Equations

[/B]

Point (a,b)

L(x,y) = Linearization

L(x,y) = ƒ(a,b) + ƒx(a,b)(x-a) + ƒy(a,b)(y-b)

## The Attempt at a Solution

[/B]

ƒ(2,1) = 3

ƒx(x,y) = [1/2⋅-8x]/[sqrt(29-4x

^{2}-4y

_{2}]

ƒx(2,1) = -8/3

ƒy(x,y) = [1/2⋅-8y]/[sqrt(29-4x

^{2}-4y

_{2}]

ƒy(2,1) = -4/3

L(x,y) = 3 + [-8/3(x-2)] + [-4/3(y-1)]

= 3 + (-8/3x + 16/3) + (-4/3y+4/3)

= 3 -8/3x +16/3 - 4/3y + 4/3

Simplifying gives me

= -8x - 4y + 29

Which is wrong according to my Webwork

please any help would be amazing.