3. 30 % Consider the longitude L of the unit sphere in R : L = (z² + v? + 22}n {y = 0}, Let T be the unit tangent vector along L from the north pole (0,0, 1) to th south pole (0,0,-1). (i) Compute Dr(T). (hint: parametrize L first, then Dr(T) = Da()(ỡ (s))) (ii) Compute Vr(T).

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. 30 % Consider the longitude L of the unit sphere in R : L = {z + y? +
22}n {y
(0,0, 1) to th south pole (0,0, -1).
(i) Compute Dr(T). (hint: parametrize L first, then Dp(T) Da,@ (s)))
(ii) Compute V(T).
0}, Let T be the unit tangent vector along L from the north pole
!!
%3D
Transcribed Image Text:3. 30 % Consider the longitude L of the unit sphere in R : L = {z + y? + 22}n {y (0,0, 1) to th south pole (0,0, -1). (i) Compute Dr(T). (hint: parametrize L first, then Dp(T) Da,@ (s))) (ii) Compute V(T). 0}, Let T be the unit tangent vector along L from the north pole !! %3D
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