7. Change in price =
5 5
P(5) P(0) = P '(t) dt = ( 120 + 180 t ) dt
0 0
Calculate an RSUM
8.
9.
10. Given the function f(x) = x3 the derivative is:
2
Compute
1
a) left and right sums with 50 subdivisions
b) the Fundamental Theorem of Calculus
11.
12. The velocity of a car in km per hour is given by
v(t) = 3t2 + 2t for t 0
Calculate the distance traveled from t = 1 to t = 4 hours
a) using the left and right sums with n = 100
b) using the Fundamental Theorem and the fact that if
f(t) = t3 + t2 f '(t) = 3t2 + 2t