Change of Variables

Practice Questions

Multivariable Calculus › Change of Variables

Questions

3

1

Evaluate $\int \int_R 3x+2y \ dA$ , where is the trapezoidal region with vertices given by , , $(\frac{5}{2}, \frac{5}{2})$ , and $(\frac{5}{2}, -\frac{5}{2})$ ,

using the transformation , and .

2

Convert the following into spherical coordinates.

$x=\sin(t)$

$y=\cos(t)$

3

Convert the following into spherical coordinates.

$x=\sin(t)$

$y=\cos(t)$

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