Question

who can solve this and its not an assignment question?

Answer 1

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.\[\nabla f(x,y,z)=\left( \frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z} \right)\]\[=\left( \frac{x}{\sqrt{x^2+y^2}}+3x \sqrt{x^2+y^2},\frac{y}{\sqrt{x^2+y^2}}+3y \sqrt{x^2+y^2},-1 \right)\]

Answer 2

i did the same thing but the answer is different.

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

the answer is in the 2nd attachment,

Answer 7

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