In the Previous Two Problems, the Infinite Series Solution For u

question 14

Multiple Choice

In the previous two problems, the infinite series solution for $u ( r , \theta )$ is $u = \sum _ { n = 1 } ^ { \infty } c _ { n } r ^ { n } \Theta _ { n } ( \theta )$ , where $\Theta _ { n }$ is found in the previous problem, and

• A) \(c _ { n } = 2 \int _ { 0 } ^ { \pi } f ( \theta ) \sin ( n \theta ) d \theta / \pi\)
• B) \(c _ { n } = 2 \int _ { 0 } ^ { \pi } f ( \theta ) \cos ( n \theta ) d \theta / \pi\)
• C) \(c _ { n } = \int _ { 0 } ^ { \pi } f ( \theta ) \cos ( n \theta ) d \theta / \pi\)
• D) \(c _ { n } = \int _ { 0 } ^ { \pi } f ( \theta ) \sin ( n \theta ) d \theta / \pi\)
• E) \(c _ { n } = \int _ { 0 } ^ { \pi } f ( \theta ) \sin ( n \theta ) d \theta / ( 2 \pi )\)

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