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:

ROI

Return on Investment, a performance metric used to evaluate the efficiency or profitability of an investment or compare the efficiency of a number of different investments.

Variable Costs

Costs that vary directly with the level of production or sales volume, such as materials and labor.

Operating Assets

Assets utilized in the day-to-day operations of a business to generate revenue.

Return on Investment

A metric used to assess the profitability of an investment, calculated as the net profit of the investment divided by its cost.