Find the Length of the Polar Curve $$r = 3 \cos \theta , 0 \leq \theta \leq \frac { 3 \pi } { 4 }$$

question 57

Multiple Choice

Find the length of the polar curve.
$$r = 3 \cos \theta , 0 \leq \theta \leq \frac { 3 \pi } { 4 }$$

• A) \(\frac { 9 \pi } { 11 }\)
• B) \(\frac { \pi } { 3 }\)
• C) \(\frac { 9 } { 4 }\)
• D) \(\frac { 9 \pi } { 4 }\)
• E) None of these

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Definitions:

Weak Base

A base that does not fully dissociate in solution, resulting in a relatively low pH compared to strong bases.

pH

A scale used to specify the acidity or basicity of an aqueous solution, with values ranging from 0 (very acidic) to 14 (very basic), and 7 being neutral.

pH

A numerical scale ranging from 0 to 14 that determines the level of acidity or alkalinity in water-based solutions.

pH

A measure of the acidity or alkalinity of a solution, quantified on a scale where 7 is neutral, values less than 7 are acidic, and values greater than 7 are alkaline.