The curve y = sin(πz), with 0 ≤ z ≤ 2, on the yz-plane is revolved once about the z-axis. Find a vector equation of the resulting surface of revolution. Write explicitly the limits of your chosen parameter

The curve y = sin(πz), with 0 ≤ z ≤ 2, on the yz-plane is revolved once about the z-axis. Find a vector equation of the resulting surface of revolution. Write explicitly the limits of your chosen parameter

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 2E

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Question

The curve y = sin(πz), with 0 ≤ z ≤ 2, on the yz-plane is revolved once
about the z-axis. Find a vector equation of the resulting surface of revolution.
Write explicitly the limits of your chosen parameters.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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