x = acos(uv)
y = bsin(vw)
z = xexp(-uw)
(ii) Simplify the equation: see attached
using the change of variables: see attached
2. Find the Jacobian Jpar of the coordinates transformation for the parabolic coordinates:
Draw the (schematic) picture of the grid for the parabolic coordinates (that is, the set of lines of constant values for u and v
3. Evaluate the following integrals:
(i) see attached
(ii) see attached
In each case sketch the domain of integration!
Write the integral in the new variables and sketch the domain of integration for the new variables. Assume that f(x) is even, i.e. that f(-t)=f(t)
The solution is attached below in two files. the files are identical in ...
The solution assists with finding the total derivative for the given change of variables.