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

question 20

Multiple Choice

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

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

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Definitions:

Flex Plate

A component in automatic transmission vehicles that connects the engine to the torque converter, allowing for flexion and torque transfer.

Crankshaft

A crucial engine component that converts the reciprocating motion of the pistons into rotational motion to drive the vehicle.

Driveline Propeller Shaft

A mechanical component used to transmit power from the vehicle's transmission to the differential, enabling wheel rotation.

Torque Converter

A type of fluid coupling used in automatic transmissions that allows the engine to spin somewhat independently of the transmission, facilitating smooth gear changes.