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Suppose a metal block is cooling so that its temperature t​ (in degrees​c) is given by upper t equals 200 times 4 superscript negative 0.2 t baseline plus 30​, where t is in hours.

a. find the temperature after ​(i) 3 ​hours, ​(ii) 4.5 hours.
b. how long has the cooling been taking place if the block now has a temperature of 130degrees​c?
c. find the eventual temperature ​(tright arrowinfinity​).

Sagot :

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