$\"\"$

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(a).

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The function is $\"\"$ , where $\"\"$ is measured in days.

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The commonly measured characteristics are:

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Physical potential: $\"\"$ days

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Emotional potential: $\"\"$ days

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Intellectal potential: $\"\"$ days.

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Find the $\"\"$ for each characteristics.

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The general form of sine function is $\"\"$ .

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Where, $\"\"$ is amplitude and period is $\"\"$ .

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Consider Physical potential: $\"\"$ days

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Therefore, physical potential is $\"\"$ .

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$\"\"$

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Consider Emotional potential: $\"\"$ days.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore, emotional potential is $\"\"$ .

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Consider Intellectal potential: $\"\"$ days.

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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Therefore, Intellectal potential is $\"\"$ .

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$\"\"$

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(b)

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The physical function is $\"\"$ .

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The emotional function is $\"\"$ .

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The intellectual function is $\"\"$ .

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Graph:

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Graph the three functions.

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$\"\"$

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$\"\"$

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(c)

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Observe the graph:

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There is no time $\"\"$ when all three characteristics have $\"\"$ potential .

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$\"\"$

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(d)

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Find the potentials after $\"\"$

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Substitute $\"\"$ .

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The physical function is $\"\"$ .

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The emotional function is $\"\"$ .

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The intellectual function is $\"\"$ .

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$\"\"$

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(a) Physical potential is $\"\"$ .

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Emotional potential is $\"\"$ .

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Intellectal potential is $\"\"$ .

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(b)

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$\"\"$

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(c) There is no time $\"\"$ when all three characteristics have $\"\"$ potential .

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(d)

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The physical function is $\"\"$ .

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The emotional function is $\"\"$ .

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The intellectual function is $\"\"$ .