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1. Let C be the intersection of the surfaces x² + y² = 2², y = 2² (a) Graph both of these on the same 3D plot. (b) Separately parametrize each of the two parts of C, using t = z as the parameter. (c) Graph this new curve on another 3D plot with each of the two surfaces separately. (Curve + 1st surface on one plot, curve + 2nd surface on 2nd plot)

1. Let C be the intersection of the surfaces x² + y² = 2², y = 2² (a) Graph both of these on the same 3D plot. (b) Separately parametrize each of the two parts of C, using t = z as the parameter. (c) Graph this new curve on another 3D plot with each of the two surfaces separately. (Curve + 1st surface on one plot, curve + 2nd surface on 2nd plot)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Let C be the intersection of the surfaces x² + y² = z², y = 2² (a) Graph both of these on the same 3D plot. (b) Separately parametrize each of the two parts of C, using t = z as the parameter. (c) Graph this new curve on another 3D plot with each of the two surfaces separately. (Curve + 1st surface on one plot, curve + 2nd surface on 2nd plot)
Transcribed Image Text:1. Let C be the intersection of the surfaces x² + y² = z², y = 2² (a) Graph both of these on the same 3D plot. (b) Separately parametrize each of the two parts of C, using t = z as the parameter. (c) Graph this new curve on another 3D plot with each of the two surfaces separately. (Curve + 1st surface on one plot, curve + 2nd surface on 2nd plot)
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