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The solution is Pi

Check this out. http://tutorial.math.lamar.edu/Classes/CalcII/ParametricEqn.aspx

You mean, you want the parametric equations?

so you mean parametrize z= e^(y)sin(x)

I know how to find the gradients, so im more concerned with the first part.

but the gradient only shows change, how can it help me parametrize?

I dont think you can parametrise, end of story

well, it is a homework question. i don't think the books wrote all that for nothing

i do

i still don't understand, how is the gradient going to help me?

can you tell me how?

Partial derivative in relation to x, partial in relation to y

yes i know, what do you do with the gradient after that?

let's say the vector is <1,2> and point P (0,1). Parametric eq is x=0 + 1t, or x=t
y=1+2t

ok, so the vector at (0,1) comes out to . so parametric is x=e*t, y=1?
That doesn't come out right.

wait so what is the vector?

yeah, but im supposed to somehow use that to parametrize?
ok, so i got the gradient and it's

sorry. ok, so how do you use to find the parametric equations?

\[x =t e ^{y} \cos x\]\[y =1+te ^{y}\sin \]

and that's for a general level curve?

so what is the parametric eqn for z=0?

yeah, thx for your help!

most ppl here dont know multivariable calc though

*parametric equations

where did you go?

i lost the post, this is moving so fast

hahaha, scroll down a bit more

computer wont let me

yeah

whats this about worshipping the laws of nature. we dont even know the laws of nature are permanent

right, we dont know what will happen in the future

there is no reason to prevent gravity from ceasing, mass will cease, etc , in the next instant

science works until it stops working, so to speak. and then we try something else

but there arent any real laws. or permanent

everything changes

no i mean, aside from god

why should it not . actually there is a reason why it should. empirically everything changes

oh i hope i didnt contradict myself

can find what? an example of a law changing, oh

well then science will just have to modify things a bit

youre right though, this is outside the scope of math problems

hence, quantum mechanics and the such