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## anonymous 5 years ago who can solve this and its not an assignment question?

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1. anonymous

2. anonymous

rsaad, when you have a surface such as this, you may construct a function$f(x,y,z)= \sqrt{x^2+y^2}+(x^2+y^2)^{3/2}-z$The gradient of this scalar function will then yield a vector that is normal to the surface.$\nabla f(x,y,z)=\left( \frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z} \right)$$=\left( \frac{x}{\sqrt{x^2+y^2}}+3x \sqrt{x^2+y^2},\frac{y}{\sqrt{x^2+y^2}}+3y \sqrt{x^2+y^2},-1 \right)$

3. anonymous

i did the same thing but the answer is different.

4. amistre64

do we fill in for the xy and z with this? cuase it looks like it got chopped in the margin

5. amistre64

if you teach me what you know, I can learn more :)

6. anonymous

the question is to find on a general point. if we were given a point then yes, we had to fill in for x and y

7. anonymous

8. anonymous

the answer is in the 2nd attachment,

9. anonymous

oh my bad. simplification was needed... thanks btw "lokisan"

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