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Problem 4 Easy Difficulty
Describe and sketch the surface.
$ 4x^2 + y^2 = 4 $
Answer
see work for graph
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Vectors
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Top Calculus 3 Educators
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Watch More Solved Questions in Chapter 12
Video Transcript
Hello there. Okay, So for this exercise, we got this equation that represents in the plane ellipse. But we need to plot the surface associated to this equation in our three. So we know that this part corresponds to the Arabs equation and Elliot's equation that you can observe here that is on the XY plane. However, we need to put a surface. Did you? We need to put the surface. That means that we need to consider also the Z value. This value in this case is going to be constant. So we just need to repeat these steps along the Z axis infinitely. So we obtain this, um, cylindrical ellipse oId ellipse. Uh, that repeats up to infinity.
Yachay Tech University
Topics
Vectors
Top Calculus 3 Educators
Kayleah T.
Harvey Mudd College
Samuel H.
University of Nottingham
Michael J.
Idaho State University
Joseph L.
Boston College