Let S be the surface given by the section of the unit sphere that lies above the cone z = Sqrt(x^2 + y^2).For the standard parametrization of the sphere, give the appropriate intervals of theta and phi to plot S. part 2. Let the orientation of S be such that the normal vectors point away from the origin. What is the normal vector r(small phi) x r(small theta) at the coordinates (0.5,0,sqrt(3)/2)?
Let S be the surface given by the section of the unit sphere that lies above the cone z = Sqrt(x^2 + y^2).For the standard parametrization of the sphere, give the appropriate intervals of theta and phi to plot S. part 2. Let the orientation of S be such that the normal vectors point away from the origin. What is the normal vector r(small phi) x r(small theta) at the coordinates (0.5,0,sqrt(3)/2)?
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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Let S be the surface given by the section of the unit sphere that lies above the cone z = Sqrt(x^2 + y^2).For the standard parametrization of the sphere, give the appropriate intervals of theta and phi to plot S.
part 2. Let the orientation of S be such that the normal vectors point away from the origin. What is the normal vector r(small phi) x r(small theta) at the coordinates (0.5,0,sqrt(3)/2)?
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