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Let f(θ,ϕ)=sin22θcos32φf ( \theta , \phi ) = \sin ^ { 2 } 2 \theta \cos ^ { 3 } 2 \varphi

Question 68

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Let f(θ,ϕ)=sin22θcos32φf ( \theta , \phi ) = \sin ^ { 2 } 2 \theta \cos ^ { 3 } 2 \varphi .Find fθ(θ=π/6,φ=π/8)\left. \frac { \partial f } { \partial \theta } \right| _ { ( \theta = \pi / 6 , \varphi = \pi / 8 ) } to 3 decimal places.

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