Please answer the following questions about human body.

$($a$)$ Let$$s assume that our bodies are ideal mixtures of $72\%$ water, $16\%$ muscle cells, and $12\%$ fats. Estimate the constant pressure heat capacity of a body.

$($b$)$ Our bodies try to maintain the temperature $($T$)$ of $37$ degrees celcius regardless of surrounding$$s T$.$ It is suspected that a person will die if the body T drops to $33$ degrees celcius for a prolonged time. Calculate how much heat loss occurs when a baby$$s body $($body mass of $3\mathrm{.}0$ kg$)$ T decreases from $37$ to $33$ degrees celcius.

$($c$)$ Estimate how much food $($kg$)$ a baby needs to eat to recover the body T from $35$ to $37$ degrees celcius if $35\%$ of the calorie can be used for heating the body. $($body mass of $3\mathrm{.}0$ kg$)$