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Multivariable Calculus

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Spherical to Rectangular (Point)

MVCALC-4RYLZO

Let $P=(9,\pi/6, \pi/3)$ be a point given in spherical coordinates.

What is the correct form of $P$ in rectangular coordinates?

A

$\left(\cfrac{9\sqrt{3}}{4},\cfrac{27}{4}, \cfrac{9}{4} \right )$

B

$\left(\cfrac{27}{4},\cfrac{9}{4}, \cfrac{9}{2} \right )$

C

$\left(\cfrac{27}{4},\cfrac{9\sqrt{3}}{4}, \cfrac{9}{2} \right )$

D

$\left(\cfrac{1}{4},\cfrac{9\sqrt{3}}{4}, \cfrac{9}{2} \right )$

E

$\left(\cfrac{27}{4},\cfrac{9\sqrt{3}}{4}, \cfrac{9\sqrt{3}}{2} \right )$