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anonymous

  • 5 years ago

who can solve this and its not an assignment question?

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  1. anonymous
    • 5 years ago
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  2. anonymous
    • 5 years ago
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    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
    • 5 years ago
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    i did the same thing but the answer is different.

  4. amistre64
    • 5 years ago
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    do we fill in for the xy and z with this? cuase it looks like it got chopped in the margin

  5. amistre64
    • 5 years ago
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    if you teach me what you know, I can learn more :)

  6. anonymous
    • 5 years ago
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    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
    • 5 years ago
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  8. anonymous
    • 5 years ago
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    the answer is in the 2nd attachment,

  9. anonymous
    • 5 years ago
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    oh my bad. simplification was needed... thanks btw "lokisan"

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spraguer (Moderator)
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