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A metal sphere cools at the rate of 0.05...

A metal sphere cools at the rate of `0.05^@ `C/s when its temperature is `70^@ C` and at the rate of `0.025^@ C`/s when its temperature is `50^@ C`. Determine the temperature of the surroundings and find the rate of cooling when the temperature of the metal sphere is `40^@C`.

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`30^@ C , 0.0125 ^@ C//s`
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