4. Consider the surface S parameterized by the vector r(u, v)= ui + vj+uk for {0...
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4. Consider the surface S parameterized by the vector r(u, v)= ui + vj+u²k for {0 ≤u≤2,0 ≤v≤2). (a) Calculate the surface normal vector N(u,v) using r(u, v) (b) Calculate the unit surface normal vector n(u, v) = N(u, v)/|N(u, v)| (c) Evaluate the unit surface normal vector n at the point (x,y,z) = (3/2,3/2,9/4). Hint: What (u, v) pair is associated with this (x,y,z) point? 4. Consider the surface S parameterized by the vector r(u, v)= ui + vj+u²k for {0 ≤u≤2,0 ≤v≤2). (a) Calculate the surface normal vector N(u,v) using r(u, v) (b) Calculate the unit surface normal vector n(u, v) = N(u, v)/|N(u, v)| (c) Evaluate the unit surface normal vector n at the point (x,y,z) = (3/2,3/2,9/4). Hint: What (u, v) pair is associated with this (x,y,z) point?
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Related Book For
Microeconomics
ISBN: 9781464146978
1st Edition
Authors: Austan Goolsbee, Steven Levitt, Chad Syverson
Posted Date:
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