Areas, Integrals, and Antiderivatives
Practice Answers
so (by The Area Function is an Antiderivative theorem): then and .
Practice 2:
(a) As an area, is the area of the triangular region between and the x– axis for .
(b) is an antiderivative of so area = .
Practice 4:
(b) In this problem we know the starting point is , and the total distance ("area") is 343 feet. Our problem is to find the time (Fig. 16) so .
Practice 5:
(a) number of new bacteria = .
(b) We know the total new population ("area" in Fig. 17) is 2875 – 1000 = 1875 so so