Cylindrical and Spherical Coordinates Examples

Cylindrical, Spherical Coordinates Examples

Section 14.7 #13

The picture above is meant to represent 1/4 of the region we are integrating over. Click here or on the picture to see an enlargement. Click on DPpicture to see a DPGraph visualization of the full region we are integrating over.

Below is a picture of the whole region we are integrating over.

Section 14.7 #14

Click here or on the picture above to see an enlargement of the diagram. Click on DPpicture to see a 3D graphic of the region we are integrating over or click on DPGraphPicture to see the various surfaces extended.

Section 14.7 #15 with a = 2 DPpicture

Click on the figure above to see an enlarged version. The top part of the figure is representing 1/4 of the region being integrated over (shown below)

Section 14.7 #18 DPpicture DPPicture2

Section 14.7 #36(Variation, a = 2, b = 4) DPpicture DPpictureTransparent

Maple Worksheet for Section 14.7 #35

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Lane Vosbury, Mathematics, Seminole State College email: vosburyl@seminolestate.edu