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anonymous
 5 years ago
Can anyone help me parametrize sin(x)*e^y=0?
anonymous
 5 years ago
Can anyone help me parametrize sin(x)*e^y=0?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i want to find a parametrization though. You know, x^2+y^2=1, the parametrization is x=cos(t) y=sin(t)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Check this out. http://tutorial.math.lamar.edu/Classes/CalcII/ParametricEqn.aspx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You mean, you want the parametric equations?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you mean parametrize z= e^(y)sin(x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes chaguanas, i just cant seem to find a relation between x and y, or such. and im checking the link now, murph. thx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the thing is, the link tells you more about how to reverse a parametric eqn than how to make one. Right now, I can't find a relation; i.e. I can't parametrize in polar coordinates nor in spherical coordinates.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, the whole question is: find parametric eqns for the three level curves of the function W(x,y)=sin(x)e^y which pass throught the points... well, I found one level curve z at z=0 to be sin(x)e^y=0, so I need to parametrize it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You need to post the whole question. Because you are not giving us enough info, and even misinterpreting the question.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, "find parametric eqns for the three level curves of the function W(x,y)=sin(x)e^y which pass throught the points P=(0,1), Q=(pi/2,0) and R=(pi/6,3). Also compute the vectors of the gradient vector field W at the points P, Q, and R."

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I know how to find the gradients, so im more concerned with the first part.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think you find the dell or gradient, which is a vector, and use that vector in conjunction with the points to find parametric eq

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but the gradient only shows change, how can it help me parametrize?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I dont think you can parametrise, end of story

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well, it is a homework question. i don't think the books wrote all that for nothing

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Be careful with the word parametrise, that was your previous lesson. The gradient are normal to the level curve. You want to find the parametric eq.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i still don't understand, how is the gradient going to help me?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It is going to give you a vector. The vector is used in conjunction with the points to find the parametric eq.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Partial derivative in relation to x, partial in relation to y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes i know, what do you do with the gradient after that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let's say the vector is <1,2> and point P (0,1). Parametric eq is x=0 + 1t, or x=t y=1+2t

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, so the vector at (0,1) comes out to <e,0>. so parametric is x=e*t, y=1? That doesn't come out right.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Don't solve for the vector at (0,!). Just get the vector from the partial fractions. You are anticipating and reading too much into the question.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait so what is the vector?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Just find the partial derivative in relation to x, partial in relation to y. You already said you know how to do it. In fact, you have already done it. But apparently you made an extra step and put in (0,1).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah, but im supposed to somehow use that to parametrize? ok, so i got the gradient and it's <cos(x)e^y, sin(x)e^y>

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0For the rest of your life, don't use the word parametrize. You are not parametrizing. You are finding the parametric equations.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry. ok, so how do you use <cos(x)e^y, sin(x)e^y> to find the parametric equations?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[x =t e ^{y} \cos x\]\[y =1+te ^{y}\sin \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and that's for a general level curve?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so what is the parametric eqn for z=0?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Post your question again, as a new post, this time the whole question; so you can get a fresh perspective from some other guys.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah, thx for your help!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0most ppl here dont know multivariable calc though

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0One or two of them do. There is someone named Lokisan who comes on at odd hours and goes through all pass questions and sends a response.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think I got it. plug in values for P in your original eq. I think it gives your 0. So one of your level curve is sinxe^y=0. Do it for the other two points. Then find parametric eq of each.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, that was exactly my original question, which was "find the parametric equation of sin(x)e^y=0", but I just couldn't find a parameter that satisfies the equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0*parametric equations

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Finding parametric equations is a very simple process. Use partial fractions to get a vector, and with that vector and the point find values of x and y, (the answers include t)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you did that for me before, but so what is the vector? I got the gradient, so what do you want me to do with it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i lost the post, this is moving so fast

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hahaha, scroll down a bit more

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0listen, im not trying to take sides because I don't even worship a god. However, i'm just saying that everything happens for a reason. If something happens, don't look to god. look to another reason. That's why they got meterology and all that what not, right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0whats this about worshipping the laws of nature. we dont even know the laws of nature are permanent

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0physics? yes, it is. are you saying that gravity is not permanent, that it does not equal 9.8m/s^2 when close to Earth's surface?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right, we dont know what will happen in the future

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there is no reason to prevent gravity from ceasing, mass will cease, etc , in the next instant

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just because our "laws" have described nature in the past, who is to say what will happen in the future

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0science works until it stops working, so to speak. and then we try something else

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but there arent any real laws. or permanent

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, i suppose that if god decides to change the laws of physics, then he will. however, for now, earthquakes will always occur when a tectonic plate happens to accidentally brush up against another one, and fires will keep on reacting as long as there is oxygen to fuel it, and babies cannot be magically lifted into the air without any physics behind it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0nothing can be done, nor should be done, to change that. or else there will be devastating consequences

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no i mean, aside from god

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0even if god doesnt exist, the laws of nature can spontaneously change. what is there to provent that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0actually, god's existence could be arguably a reason that gravity will not cease. he is there to prevent it. but i dont see any evidence for god. so we are truly floating blindly in space , and our laws have no permanence

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that's philosophy. out of my range, out of the range of mathematics too, within which we are posting =D but, science has worked for hundreds of thousands of years, and it doesn't seem to be changing now, so why should it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why should it not . actually there is a reason why it should. empirically everything changes

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh i hope i didnt contradict myself

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you can find one, (outside of quantum mechanics, and any other science that is still developing) I should like to know it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can find what? an example of a law changing, oh

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well then science will just have to modify things a bit

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the only reason why science works in the first place is because there is consistency in the universe, regularity, repeatability. if we lose this regularity (doesnt matter what it is), then science wont work . you cant frame a law of nature if there is nothing for it to express , if nothing is predictable

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0youre right though, this is outside the scope of math problems

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if we lose a regularity, then we search further, because we can always assume there is a regularity in the universe. Even "regularity" cannot be strictly defined. what occurs often is regularity, sometimes things that are irregular in the beginning become regular as we understand it more

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hence, quantum mechanics and the such
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