Find the Polar Coordinates of the Point(s)of Intersection of the Given

question 51

Multiple Choice

Find the polar coordinates of the point(s) of intersection of the given curves for 0 $$0 \leq \theta < 2 \pi \text {. }$$
- $$\mathrm { r } = 3 + \cos \theta , \mathrm { r } = 3 - \sin \theta$$

• A) \(\left( \frac { 5 } { 2 } , \frac { 3 \pi } { 4 } \right) , \left( \frac { 7 } { 2 } , \frac { 7 \pi } { 4 } \right)\)
• B) \(\left( 3 + \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 3 - \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)\)
• C) \(\left( 3 , \frac { 3 \pi } { 4 } \right) , \left( 3 , \frac { 7 \pi } { 4 } \right)\)
• D) \(\left( 3 - \frac { 1 } { \sqrt { 2 } } , \frac { 3 \pi } { 4 } \right) , \left( 3 + \frac { 1 } { \sqrt { 2 } } , \frac { 7 \pi } { 4 } \right)\)

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Definitions:

Major Product

In a chemical reaction, the major product is the compound that is formed in the greatest quantity relative to other products.

Stepwise Mechanism

A reaction mechanism that occurs through multiple discrete stages, each involving its own transition state and intermediates.

HBr

Hydrobromic acid, a diatomic molecule formed by hydrogen and bromine, used in synthesis and as a strong acid in aqueous solutions.

Major Organic Product

The primary product resulting from a chemical reaction, often emphasized in organic chemistry due to its greater yield or significance.