
#1
Apr2910, 07:37 PM

P: 6

Im trying to check my answers to a problem, and in the past i've used a 3d grapher to graph functions like f(x,y) = whatever.
but now i need to find a tangent plane to a surface at a point. the surface is: x^{2}y+y^{2}zz^{2}x=1 but i dont know how to go about graphing something expressed that way. are there different names to these types of graphs? are there programs that will graph things expressed other than z=[stuff w/ x and y]? 



#2
Apr2910, 10:20 PM

P: 4,570





#3
Apr2910, 10:40 PM

P: 6

im in a multivariable calculus class right now, and the point given was (2,3,1)
what i did was take the partials w/ respect to x y and z. then i plugged in the values at that point. then i plugged that into the equation f_{x}(xx_{0})+f_{y}(yy_{0})+f_{z}(zz_{0})= 0 i ended up getting 11x2y+13z = 3 but my question was mainly about the notation of the equations. some expressed in terms of z or f(x,y). this one is given as a function of (x,y,z) = constant i guess its like comparing graphs like x^{2}+y^{2}=1 to f(x)= y= 3x+1 its harder to graph the first one on a calculator because its not a function of x. are there names for different forms of the equations? and also, is there a good graphing program to graph those kinds of surfaces. 


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