16 MULTIPLE INTEGRALS
16 MULTIPLE INTEGRALS
16 MULTIPLE INTEGRALS
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GROUP WORK 3, SECTION <strong>16</strong>.8<br />
Many Paths<br />
Three people live on the unit sphere, and are going to walk from the North Pole (0, 0, 1) to the South Pole<br />
(0, 0, −1). The first person walks along the arc of a great circle that lies in one of the coordinate planes. The<br />
second walks along an arc of a great circle that does not lie in one of the coordinate planes, and the third walks<br />
along a curve that spirals once around the sphere. Find parametric equations that describe possible paths for<br />
each person.<br />
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