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Cooper 15.3.06 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 f, (30, 5) and ft (30, 5). Use the tangent plane approximation to find f(33,4). f. (30, 5) = -5/3 fx (30, 5) = -3/2 f(33, 4) ~ 47+ (1/6) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 6 times. Your overall recorded score is 67%. You have unlimited attempts remaining. Email WeBWork TA G W AX FA F6 F7 PrtschFB Home Fo F 10 PgUP FI Pgon Z & 5 6 7 8 O E R U O P D F G H K L C V B N M Alt E