Math 1250 Practice SheetAverage value of a function1. Find the average value of f(x)=11+x2on the interval [0, √3Find a value c so that f(c) = faverage2.A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of W’(t) = 0.2e0.1tgrams per hour at a higher controlled temperature. Find the average rate of growth and the total amount ofgrowth during the first 8 hours and during the second 8 hours. The graph of W’(t) is given.3.The temperature C(t) (degrees Celsius) in anaquarium is changing according to C(t) = t]3–
2t + 10 for t between 0 and 2 hours. What is the average temperature during this time period?4. The number of bacteria present in a certain culture after t minutes of an experiment was Q(t) = 2000e0.05t. What was the average number of bacteria present during the first 5 minutes of the experiment? (ans: 2272.2)5. A patient if injected with a drug, and thours later, the concentration of thedrug remaining in the patient’s bloodstream is given by C(t)=3t(t2+36)32milligrams per cubic centimetre. What is the average concentration of drug during the first 8 hours after the injection? (ans: 0.025)
6. The aerobic rating of a person who is x years old is given byA(x)=110 ln(x)−220xfor x≥10What is a person’s average aerobic ratingfrom age 15 to age 25? (ans: 5.414)What is a person’s average aerobic ratingfrom age 60 to 70? (ans: 3.682).