Graph the Function Over a One-Period Interval $\mathrm { I } = 24 \sin 14 \pi \mathrm { t }$

question 77

Multiple Choice

Graph the function over a one-period interval.
-A generator produces an alternating current according to the equation $\mathrm { I } = 24 \sin 14 \pi \mathrm { t }$ , where $\mathrm { t }$ is time in seconds and I is the current in amperes. What is the smallest time $t$ such that $\mathrm { I } = 12 ?$

• A) \(\frac { 1 } { 84 } \sec\)
• B) \(\frac { 1 } { 28 } \mathrm { sec }\)
• C) \(\frac { 1 } { 56 } \mathrm { sec }\)
• D) \(\frac { 1 } { 42 } \mathrm { sec }\)

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Definitions:

Census

An official count or survey of a population, typically recording various details of individuals, such as age, sex, occupation, and nationality.

Representative Sample

A representative sample is a subset of a population that accurately reflects the members of the entire population, used in statistical analysis to make inferences about the population.

Experimental Method

A research methodology that involves manipulating variables to test hypotheses and observe effects.

Spurious Relationship

A statistical association between two variables that appears to be causally linked but is actually due to a third variable or a coincidence.