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A hot body placed in a surrounding of te...

A hot body placed in a surrounding of temperature `theta_(0)` obeys Newton's law of cooling `(d theta)/(dt)=-k(theta-theta_(0))` . Its temperature at `t=0` is `theta_(1)` the specific heat capacity of the body is s and its mass is m. Find (a) the maximum heat that the body can lose and (b) the time starting from `t=0` in which it will lose 90% of this maximum heat.

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