Solve the Initial Value Problem $$\frac { d y } { d x } = \csc x , y ( 1 ) = - 8$$

question 131

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = \csc x , y ( 1 ) = - 8$$

• A) \(y = - \int _ { 1 } ^ { x } \operatorname { csct } \cot t d t - 8\)
• B) \(y = \int _ { - 8 } ^ { x } \operatorname { csctdt } + 1\)
• C) \(y = \int _ { x } ^ { 1 } \operatorname { csctdt } - 8\)
• D) \(y = \int _ { 1 } ^ { x } \operatorname { csctdt } - 8\)

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Definitions:

Average Daily Cost

The average amount of expenses incurred in a day, calculated over a specified period.

Days' Sales

A financial ratio that measures the average time it takes for a company to convert its inventory into sales.

Industry Average

A benchmark or standard performance metric across a sector or industry, useful for comparison and strategic planning.

LIFO

Last In, First Out is a method for valuing inventory that records the most recently manufactured goods as the first ones sold.