1. Suppose the cost of producing bananas is given by differential equation Dc/dx = 82/x + 55x Where C(x) is the cost and x is the number of units of bananas produced. If the cost is $600 to produce 1 unit, what is the particular solution? Write your answer in the form c(x) = c1 ln x + c2x^n + c3 A) what is the value of c1 B) what is the value of c2 C) what is the value of c3 2. Erwin is driving a car that is currently stopped at a red light. When the light turns green, professor erin accelerated their car at 187m/s^2. If the speed limit is 184 m/s. A) how long does it take the car to reach this speed? B) how far does the car have to travel to reach this speed? 3. Suppose the population of deer in northwestern Ontario is modeller by f(t) =7te^-t, where f(t) is measured in thousands of deer and t is the time in years since 2016. A) What is the population of deer in 2021? B) what is the maximum population of deer (in thousands)