Recent content by cad2blender

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    Volume of Sphere: Find Integral Solution

    Find the volume of the sphere: f(x,y,z)=e^(x^2+y^2+z^2) over x^2+y^2+z^2≤9 using spherical coordinates After working trough I get this enormous number 228965, when I know its 113.097 using the simple volume formula for a sphere. I think I am having trouble with the integration of...
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    Volume under a paraboloid and above a disk

    thanks I also got the same as you, I am prety sure we're both right. Thanks again
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    Volume under a paraboloid and above a disk

    After calculating this I got 40.5*pi, is this correct? is there a way that I can check this?
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    Volume under a paraboloid and above a disk

    Ok its a simple question really... say that I have to find the volume (using polar coordinates) of the solid under the paraboloid z=x^2+y^2 and above the disk x^2+y^2≤9. My approach would be to find the z value of where the cylinder and paraboloid intersect. Then find the volume of the...
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    Is phi(C(u,v))=C(phi(u,v,)) a linear transformation?

    the thing is that I don't know what to do to use the second rule. The first rule says that phi(u1,v1)+(u2,v2)=phi(u1,v1)+phi(u2,v2) must be true, so far I think i got this to work, after some time I got the right side equal to the left side. That is how far I got. EDIT: 2nd rule is...
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    Is phi(C(u,v))=C(phi(u,v,)) a linear transformation?

    Let phi(u,v)=(u-2v,-v) is this a R^2->R^2 a linear transformation? I know that there must be two rules that must be met in order to be a linear transformation, after doing the first part, it seems that it may be linear. But I do not know how to show whether or not the second rule is...