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Mathematics, 03.07.2019 21:10 020020

The number of minutes taken for a chemical reaction if f(t, x). it depends on the temperature t degrees celcius, and the quantity, x grams, of a catalyst present. when the temperature is 30 degrees celcius and there are 5 grams of catalyst, the reaction takes 50 minutes. increasing the temperature by 3 degrees reduces the time taken by 5 minutes. increasing the amount of catalyst by 2 grams decreases the time taken by 3 minutes. use this information to find the partial derivatives fx(30,5) and ft(30,5). use the tangent plane approximation to find f(33,4).

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