Find Any Zeros Of $r$ On the Interval $0 \leq \theta < 2 \pi$

question 106

Multiple Choice

Find any zeros of $r$ on the interval $0 \leq \theta < 2 \pi$ .
$$r = \sqrt { 2 } - 2 \cos \theta$$

• A) zeros: \(\frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 }\)
• B) zeros: \(\frac { \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• C) zeros: \(\frac { \pi } { 2 } , \frac { 7 \pi } { 2 }\)
• D) zeros: \(\frac { 3 \pi } { 2 } , \frac { 5 \pi } { 2 }\)
• E) zeros: \(\frac { \pi } { 8 } , \frac { 7 \pi } { 8 }\)

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Definitions:

Pearson R

A statistical measure of the strength and direction of a linear relationship between two variables.

Absolute Size

A measure or quantity's actual size or magnitude, not relative to other measures or quantities.

Strength

The capacity to withstand force or stress without alteration, often used in physical contexts but also applicable to emotional or character attributes.

Effect Size

A quantitative measure of the magnitude of a phenomenon or the strength of the relationship between variables, commonly used in statistical analyses.