Question

what is the equation of the tangent plane to f(x,y) = x^2-y^2 +9 at the point (4,5,0) ?

Answer 1

Razzleberry squared?

Answer 2

close :)

Answer 3

No? How about... 3 Penguins and a goose?

Answer 4

it begins with a gradient :)

Answer 5

A+.

Answer 6

x^2-y^2-z+9=0

g=<2x,2y,-1>
p=( 4, 5, 0)
-----------
n= <8,10,-1>

Answer 7

Oh so close!

Answer 8

8(x-4)+10(y-5)-z=0 right?

Answer 9

Hmm yes

Answer 10

now you aint agreeing with me just cause im right are ya?

Answer 11

Why else would would I?

Answer 12

i like this purpley pic; its the moon by a streetlamp about dusk time

Answer 13

just before the mosquitoes come out ;)

Answer 14

what you know about double integrals?

Answer 15

You have to take the partial derivative with respect to x and then with respect to y....so...fx=2x and fy=2y...solving this with the given points you can figure it out. So, fx(4)=8 and fy(5)=10...so...8(x-4)+10(y-5)-z=0......Ya!...I believe that's correct sir!

Answer 16

ur playing again amistre..tut..tut

Answer 17

...hangs head in shame.....but mr owletan, can i have another bwol of swill please?