Find the equation of the tangent plane to the surface z=e1x/17ln(3y) at the point (−2,1,0.9767) Find the equation of the tangent plane to the surface z=e1x/17ln(3y) at the point (−2,1,0.9767) @Mathematics

Question

anonymous · Answer

ewww...copy paste sucked there

anonymous · Answer

e^(x/17)*ln(3y)

anonymous · Answer

last question then i'm off to fight with physics the rest of the day

anonymous · Answer

ok let's find the gradient. pain to do by hand so let wolf do it http://www4d.wolframalpha.com/Calculate/MSP/MSP43219i0e0b1ab38d095000052665i7387fbh188?MSPStoreType=image/gif&s=8&w=500&h=51

anonymous · Answer

plug in numbers

(−2,1,0.9767)

{0.0574516, 0.88901,0}

anonymous · Answer

http://www.wolframalpha.com/input/?i=%7B1%2F17+e%5E%28-2%2F17%29+log%283+%29%2C+e%5E%28-2%2F17%29%2F1%7D

anonymous · Answer

oh hell...

anonymous · Answer

yeah why decimal

anonymous · Answer

to be annoying i'm sure

anonymous · Answer

how the f... am i gonna get this beast into z =

anonymous · Answer

oh nvm

anonymous · Answer

Note: Your answer should be an expression of x and y; e.g. "5x + 2y - 3

anonymous · Answer

*correction

plug in numbers

(−2,1,0.9767)

{0.0574516, 0.88901,-1}

0.0574516x+0.88901y-1z={0.0574516, 0.88901,-1}dot{(−2,1,0.9767)}=-0.202593

0.0574516x+0.88901y-z=-0.202593

anonymous · Answer

and just do the same as before to solve it for z?

anonymous · Answer

yep