Solved

In Spherical Coordinates, Find F for F = $\theta$ ) Cos

Question 88

Multiple Choice

In spherical coordinates, find $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ f for f = $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) cos( $\theta$ ) .

A) 3 $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) cos( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ + $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ cos( $\theta$ ) cos( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ - $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$
B) 3 $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) cos( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ + $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ cos( $\theta$ ) cos( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ - $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) sin( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$
C) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$
D) 3 $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) cos( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ - $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ cos( $\theta$ ) cos( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ + $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$
E) 3 $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) cos( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ - $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ cos( $\theta$ ) cos( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ - $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$ sin( $\theta$ ) $In spherical coordinates, find f for f = sin( \theta ) cos( \theta ) . A) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) B) 3 sin( \theta ) cos( \theta ) + cos( \theta ) cos( \theta ) - sin( \theta ) sin( \theta ) C) D) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) + sin( \theta ) E) 3 sin( \theta ) cos( \theta ) - cos( \theta ) cos( \theta ) - sin( \theta )$