Solve the Problem $\mathrm { I } ( t ) = 7 \cos ( 120 \pi t )$

Solve the problem.
-Suppose that a household appliance draws a current represented by the relation $\mathrm { I } ( t ) = 7 \cos ( 120 \pi t )$ , where $t$ is time measured in seconds. The power consumed by the appliance is $P = I ^ { 2 } R$ , where $R$ is a constant. Take $R$ to be 16 and graph the power in [0, 0.04, 0.01] by $[ - 200,2000,200 ]$ and use an identity to write the expression for the power in the form $\mathrm { P } = \mathrm { a } \cos ( \mathrm { k } \pi \mathrm { t } ) + \mathrm { d }$ , where $\mathrm { a }$ , $\mathrm { k }$ , and $\mathrm { d }$ are constants.

A) $\mathrm { P } = - 392 \cos ( 240 \pi \mathrm { t } ) + 392$
$[ 0,0.04,0.01 ]$ by $[ - 200,2000,200 ]$


B) $\mathrm { P } = 392 \cos ( 120 \pi \mathrm { t } ) + 392$
$[ 0,0.04,0.01 ]$ by $[ - 200,2000,200 ]$


C) $\mathrm { P } = 392 \cos ( 240 \pi \mathrm { t } ) + 392$
$[ 0,0.04,0.01 ]$ by $[ - 200,2000,200 ]$


D) $P = 784 \cos ( 240 \pi t ) + 784$
$[ 0,0.04,0.01 ]$ by $[ - 200,2000,200 ]$

Correct Answer:

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