[10] 4. Using only your brain, figure out what the graph of the curve r(t) = (2 cos(πt), t, 3 sin(πt)) looks like in R3. Draw the graph, by hand, for 0 < t < 4, as accurately as you can. On your graph, label the points at t = 0, t = 1, t = 2, t = 3 and t = 4 with their (x, y, z) coordinates. Also, put an arrow on the curve to indicate its positive orientation.

[10] 4. Using only your brain, figure out what the graph of the curve r(t) = (2 cos(πt), t, 3 sin(πt)) looks like in R3. Draw the graph, by hand, for 0 < t < 4, as accurately as you can. On your graph, label the points at t = 0, t = 1, t = 2, t = 3 and t = 4 with their (x, y, z) coordinates. Also, put an arrow on the curve to indicate its positive orientation.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter4: Quadrilaterals

Section4.CT: Test

Problem 5CT

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