hello everyone! the name is Mikel Formanes, a BS-Mathematics student from SLSU in Lucban, Philippines. Can someone help me about a problem regarding Partial Derivatives...

Question

anonymous · Answer

whats a problem?

hartnn · Answer

@maikeL  Hi,

$\Huge \mathcal{\text{Welcome To OpenStudy} \ddot\smile} $

can you post a particular problem you have doubt with ? 
we'll try our best to help you out.

shubhamsrg · Answer

http://gyazo.com/babac224247a886dfcc9933b92349a81 @Ayeshaafzal ^_^

anonymous · Answer

graphing a function of one variable is quite easy, but i had a hard time analyzing and graphing function of two variables..

anonymous · Answer

Definition: a function of two variables, x and y, assigns a unique real number ƒ(x,y) to each point (x,y) in the xy plane.
Q: how will i graph the fcn. ƒ(x,y)= √(1-x²-y²) ?

hartnn · Answer

ƒ(x,y)= √(1-x²-y²)  = z 
so, x^2+y^2 +z^2 = 1 
from this , you can figure out that its a 3-dimensional plot. 
its a sphere of radius = 1 and only part above xy plane 
(because its +√(1-x²-y²)  and not -√(1-x²-y²)  )

unklerhaukus · Answer

when y=0   f=√(1-x^2)

when x=0   f=√(1-y^2)

can you plot these intersection of the function ?

hartnn · Answer

standard equation of sphere, x^2+y^2+z^2 = r^2
radius = r

anonymous · Answer

@hartnn so it's a sphere centered at the origin with radius 1 right.. z must be greater than or equal to 0 so its a sphere with just the upper hemisphere.

hartnn · Answer

yes, thats what it is.

hartnn · Answer

http://www.wolframalpha.com/input/?i=plot+%E2%88%9A%281-x%C2%B2-y%C2%B2%29+

unklerhaukus · Answer

$$\huge\color{red}\checkmark{}$$

anonymous · Answer

just for the record, thanks for your responses @hartnn and @UnkleRhaukus . :)

hartnn · Answer

welcome ^_^
since you are new here, if you need any assistance browsing this site , you can ask me :)

anonymous · Answer

are you familiar with the term level curves?

unklerhaukus · Answer

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