In the Previous Two Problems, the Solution For $u ( x , y )$

question 3

Multiple Choice

In the previous two problems, the solution for $u ( x , y )$ is

• A) \(u = \sum _ { n = 1 } ^ { \infty } c _ { n } \cos ( n \pi x ) \sinh ( n \pi x ) , \text { where } c _ { n } = \int _ { 0 } ^ { 2 } f ( x ) \cos ( n \pi x ) d x / \sinh ( 2 n \pi )\)
• B) \(u = \sum _ { n = 1 } ^ { \infty } c _ { n } \sin ( n \pi x ) \sinh ( n \pi y ) , \text { where } c _ { n } = \int _ { 0 } ^ { 2 } f ( x ) \cos ( n \pi x ) d x / \sinh ( 2 n \pi )\)
• C) \(u = c _ { 0 } y + \sum _ { n = 1 } ^ { \infty } c _ { n } \cos ( n \pi x ) \sinh ( n \pi y )\), where \(c _ { n } = \int _ { 0 } ^ { 2 } f ( x ) d x / 4\) and
• \[c _ { n } = \int _ { 0 } ^ { 2 } f ( x ) \cos ( n \pi x ) d x / \sinh ( 2 n \pi )\]
• D) \(u = \sum _ { n = 1 } ^ { \infty } c _ { n } \cos ( n \pi x ) \cosh ( n \pi y ) , \text { where } c _ { n } = \int _ { 0 } ^ { 2 } f ( x ) \cos ( n \pi x ) d x / \sinh ( 2 n \pi )\)
• E) \(u = \sum _ { n = 1 } ^ { \infty } c _ { n } \sin ( n \pi x ) \cosh ( n \pi y ) , \text { where } c _ { n } = \int _ { 0 } ^ { 2 } f ( x ) \cos ( n \pi x ) d x / \sinh ( 2 n \pi )\)

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Definitions:

Returns

The process of a customer returning previously purchased merchandise back to the seller, or the amount of profit generated from an investment.

Gross Margin Ratio

A financial indicator that calculates the disparity between sales and the cost of goods sold, represented as a portion of sales revenue.

Net Sales

The total revenue from sales reduced by returns, allowances for damaged or missing goods, and discounts.

FOB Destination

A shipping term where the seller pays for transportation of the goods to the buyer's location, and ownership of the goods transfers upon delivery.