amistre64
  • amistre64
what is the equation of the tangent plane to f(x,y) = x^2-y^2 +9 at the point (4,5,0) ?
Mathematics
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
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anonymous
  • anonymous
Razzleberry squared?
amistre64
  • amistre64
close :)
anonymous
  • anonymous
No? How about... 3 Penguins and a goose?

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amistre64
  • amistre64
it begins with a gradient :)
anonymous
  • anonymous
A+.
amistre64
  • amistre64
x^2-y^2-z+9=0 g=<2x,2y,-1> p=( 4, 5, 0) ----------- n= <8,10,-1>
anonymous
  • anonymous
Oh so close!
amistre64
  • amistre64
8(x-4)+10(y-5)-z=0 right?
anonymous
  • anonymous
Hmm yes
amistre64
  • amistre64
now you aint agreeing with me just cause im right are ya?
anonymous
  • anonymous
Why else would would I?
amistre64
  • amistre64
i like this purpley pic; its the moon by a streetlamp about dusk time
amistre64
  • amistre64
just before the mosquitoes come out ;)
amistre64
  • amistre64
what you know about double integrals?
anonymous
  • anonymous
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!
anonymous
  • anonymous
ur playing again amistre..tut..tut
amistre64
  • amistre64
...hangs head in shame.....but mr owletan, can i have another bwol of swill please?

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