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(a).
Show that .
The voltage is .
Where, the frequency is .
The power is
Where is resistance and is the time in seconds.
Substitute in .
Therefore, .
(b)
Observe the graph :
The graph of the function does not passing through the origin and shifted units downward.
hence,the graph of the function is a cosine function.
The geneal form of cosine function is .
Where, is amplitude and and is the phase shift.
Compare the equation with graph of the function.
Amplitude is and Period is .
.
Substitute all the values.
.
(c)
Deduce that .
Equate the two power functions.
Cancel the common terms.
.
(a) .
(b) .
(c) .
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