Solve the Initial Value Problem $$\frac { d y } { d x } = \cot x , y ( - 2 ) = 9$$

question 227

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = \cot x , y ( - 2 ) = 9$$

• A) \(y = - \int _ { - 2 } ^ { x } \csc ^ { 2 } t d t + 9\)
• B) \(y = \int _ { x } ^ { - 2 } \cot t d t + 9\)
• C) \(y = \int _ { - 2 } ^ { x } \cot t d t + 9\)
• D) \(y = \int _ { 9 } ^ { x } \cot t d t + - 2\)

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Definitions:

DARN Mnemonic

A technique in motivational interviewing that stands for Desire, Ability, Reasons, and Need, used to help clients express motivation to change.

Paraphrasing

The act of rewording or rephrasing text or speech to achieve clearer understanding, often used in communication and counseling.

Simple Reflection

In counseling, a technique where the counselor mirrors back what the client has said, helping the client feel understood and encouraging deeper exploration of their feelings and thoughts.

MI

Motivational Interviewing, a counseling approach that involves engaging clients' own motivations and commitment to change behavior.