Question

you need to include the ODE. the initial value, the solution to the IVP, and answer to the question. you'll need to leave the answer in terms of exponential and/or logarithms.

A) a pizza is removed from an oven at a temperature of 400F. one minute later, the pizza of the temperature is 300F, if the room temperature is 70F, how long will it take the pizza to reach a temperature of 200F?

B) A large tank is partially filled with 500 gallons of brine, initially, 50 pounds of salt is dissolved in the tank. the tank is well mixed. A picture of 5 pounds of salt per gallon is being pumped into the tank at a rate of 20gal/min. The tank mixture is pumped out at the same rate. How ,much salt is in the tank after 30 minutes?

C) A small town initially has a population of 1100 after 20 years the population decreases to 700 if the population rate is proportional to the current population at time t, find the population after 100 years. Round your answer to the nearest whole number?

Answer 1

tos) 70 t. C460-70) e" 303o e tlt) = 200 F e362 ufe 93). 364 03150 301 t~ 2.58 2.6 mm다tes