a. For each of the following, answer correct to two decimalplaces
Find the area under the curve y=3x^3+2
Find the area between the curve y=2/x and the x-axis for xbetween -5 and -4
Find the area between the curve y=x^2-3x and the x-axis for xbetween 2 and 7
Find the area bounded by the curves y=6x^3+1 and y=6x+1
b. The birth rate in a certain city is described by thefollowing function
. The city's death rate is given by . Here, t ismeasured in years, and t = 0 corresponds to the start ofthe year 1990. The birth and death rates are measured in thousandsof births or deaths per year. At the start of 1990, the populationof the city is 300 thousand. Answer the following correct to twodecimal places.
Calculate the total number of births between the start of 1990and the end of 1999. (in thousands)
Calculate the total number of deaths over the same period (inthousands)
What is the population of the city at the start of year 2000?(in thousands)
Considering just the period from the start of 1990 to the startof 2000, over what interval is the population increasing? (not thenumber of years since 1990)
Over what interval is the population decreasing?
Calculate the area between the curves y = b (t ) and  y = d ( t )for t between 0 and 10.
