Hello,

Can you please help me answering those two questions about Antiderivatives and Indefinite Integrals?

Question One:

A patient's temperature is 104 degrees Fahrenheit and is changing at the rate of to - 3t degrees per hour, where + is the number of hours since taking a fever-reducing medication (0 s t s 3). (a) Find a formula for the patient's temperature after t hours. [Hint: Evaluate the constant C so that the temperature is 104 at time ( = 0.] TO = (b) Use the formula that you found in part (a) to find the patient's temperature after 3 hours. (Round your answer to one decimal place.) degreesA chemical plant is adding pollution to a lake at the rate of 35 \\ to tons per year, where t is the number of years that the plant has been in operation. (a) Find a formula for the total amount of pollution that will enter the lake in the first t years of the plant's operation. [ Hint: Evaluate C so that no pollution has been added at time t = 0.] P() = (b) Use the formula that you found in part (a) to find how much pollution (in tons) will enter the lake in the first 4 years of the plant's operation. (Round your answer to the nearest whole number.) P(4) = tons (c) If all life in the lake will cease when 200 tons of pollution have entered the lake, will the lake "live" beyond 4 years? O Yes O No