Find All Possible Functions with the Given Derivative $$y ^ { \prime } = \csc ^ { 2 } 3 \theta$$

question 43

Multiple Choice

Find all possible functions with the given derivative.
- $$y ^ { \prime } = \csc ^ { 2 } 3 \theta$$

• A) \(\frac { 1 } { 6 } \csc 3 \theta + C\)
• B) \(- \frac { 1 } { 9 } \csc ^ { 3 } 3 \theta + C\)
• C) \(- 3 \cot 3 \theta + C\)
• D) \(- \frac { 1 } { 3 } \cot 3 \theta + C\)

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Definitions:

Break-even Point

The point where total costs and total revenues are the same, leading to neither profit nor loss in sales or production levels.

Sales Dollars

The overall income earned from the sales of products or services, measured in currency.

Break-even

The point at which total costs and total revenue are equal, resulting in no profit or loss for the business.

Variable Cost

Outgoings that are directly influenced by how much is produced or sold, including the costs of labor and materials.