calculus -- PLEASE HELP!
posted by anonymous .
1. A car travels 20 mi/hr for 2 hours and then 30 mi/hr for 3 hours.
a) For 0<t<2 let c(t) be the distance the car has traveled in miles from time 0 to time t, where t is measured in hours. Find c(t).
b) Extend your function c(t) from part (a) to the time period 2 <= t <= 5. You will have a piecewise continuous function.
c) For the function c(t) in the previous problem, find c'(1) and c'(3).
a) c = 20 t , 0<t<2
b) c = 40 + 30 (t-2) , 2<t<5
c) Use the first equation to get c(1) and the second equation to get c(3)
They call it c', but it's the same thing as c at the value of t selected.