Solve the Initial Value Problem $$\frac { d r } { d \theta } = - \frac { \pi } { 2 } \cos \frac { \pi } { 2 } \theta , r ( 0 ) = - 10$$

question 311

Multiple Choice

Solve the initial value problem.
- $$\frac { d r } { d \theta } = - \frac { \pi } { 2 } \cos \frac { \pi } { 2 } \theta , r ( 0 ) = - 10$$

• A) \(r = \sin \frac { \pi } { 2 } \theta - 10\)
• B) \(r = - \sin \frac { \pi } { 2 } \theta - 10\)
• C) \(r = - \frac { \pi } { 2 } \sin \frac { \pi } { 2 } \theta - 10\)
• D) \(r = \cos \frac { \pi } { 2 } \theta - 11\)

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Definitions:

Amino Acid

The building blocks of proteins, consisting of a basic amino group, an acidic carboxyl group, and a side chain specific to each type of amino acid.

Carboxyl Group

A functional group consisting of a carbon atom double-bonded to an oxygen atom and single-bonded to a hydroxyl group (-COOH).

Protein Molecules

Large, complex molecules that are fundamental to the structure and function of all living cells, playing crucial roles in virtually all biological processes.

Endoplasmic Reticulum

A network of membranes within the cytoplasm of cells involved in protein and lipid synthesis, detoxification, and calcium storage.