# Answer to Question #16187 in Calculus for akansha

Question #16187

the gradient of the curve y-xy+2px+3qy=0 at the point (3,2) is -2/3 the value of p & q are??

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Assignment Expert12.10.12, 17:03You're welcome. We are glad to be helpful.

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akansha12.10.12, 15:59thanx........:)

Assignment Expert11.10.12, 15:44First of all, we need to find expression for gradient. Gradient is a vector which components are partial derivatives of the curve.

Having curve f(x,y)=y-xy+2px+3qy=0& we can find its gradient as follows:

gradx=partial derivative of f by x=-y+2p

grady=partial derivative of f by y=1-x+3q

So the gradient is grad(x,y)=(-y+2p, 1-x+3q)

Then, we're given that at the point (x=3,y=2) gradient equals (-2,3)

At first, let's find gradient at the point x=3,y=2. Which is

grad(3,2)=(-2+2p, 1-3+3q)

Now we equate obtained components to given (-2,3):

gradx=-2+2p=-2

grady=1-3+3q=3

From these equations we find p and q

Hopefully this will help

akansha11.10.12, 06:47sorry will you please ellaborate it, actually i am unable to understand the ans...............

i will be thankful to you............ :)

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