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Find the Average Value of the Function Over the Region f(ϱ,φ,θ)=ϱcos⁡φf ( \varrho , \varphi , \theta ) = \varrho \cos \varphi

Question 330

Multiple Choice

Find the average value of the function over the region.
- f(ϱ,φ,θ) =ϱcos⁡φf ( \varrho , \varphi , \theta ) = \varrho \cos \varphi over the solid lower ball ϱ≤8,π/2≤φ≤π\varrho \leq 8 , \pi / 2 \leq \varphi \leq \pi


A) 13\frac { 1 } { 3 }
B) 32\frac { 3 } { 2 }
C) −3- 3
D) −1024π- 1024 \pi

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