That's where my problem is. It would be better to switch to polar coordinates, however, for my answer I must set up one iterated integral in terms of dz dy dx and the other iterated integral in terms of dtheta dr dz.
I believe this is a paraboloid, so I think that the cross sections would be circles. As to the coordinate system, I have to use both cartesian and cylindrical for this problem.
I am having some trouble with finding the boundaries for the first part of the problem (dz dy dx), I should be able to figure out the second part on my own. The problem is:
Set up the triple iterated integrals (using dz dy dx and d θ dr dz) to find ∫∫∫E \sqrt{x^2+y^2} dV where
E is the part of...
When substituting these values back into the constraint, I got x=+/-sqrt(2/7). Is this correct? If so, do I then substitute this back into y=2x and z=3x?
Hello,
I am having a bit of trouble with the Lagrange multiplier method. My question is:
Use the Lagrange multiplier method to find the extrema points of the distance from the point (1,2,3) to the surface of the sphere {x}^{2}+{y}^{2}+{z}^{2}=4. Find the possible values for of \lambda.
This...