Match the integrals with the type of coordinates which make them the easiest to

Question

Match the integrals with the type of coordinates which make them the easiest to do. Put the letter of the coordinate system to the left of the number of the integral.

A. polar coordinates
B. cylindrical coordinates
C. cartesian coordinates
D. spherical coordinates

Match the integrals with the type of coordinates which make them the easiest to do. Put the letter of the coordinate system to the left of the number of the integral.

1. where E is:
2. where D is:
3.
4. where E is:
5. where E is:

A. polar coordinates
B. cylindrical coordinates
C. cartesian coordinates
D. spherical coordinates

Explanation / Answer

1. C All the boundaries are constants.So easy to do in Cartesian

2. A Circle of radius 2 is visible

3. C x= y^2 is Parabola in Cartesian

4. D Hemisphere of radius 2 is visible

5. B Clearlt visible that cylinder of radius sqrt 2 is there

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