4. [1/2 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.1.031. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The birth rate of a population is b(t) = 2500e0.024t people per year and the death rate is d(t)= 1460e0.017 people per year, find the area between these curves for 0 s t g(x) for all x in [a, b], is A = / [f(x) - 9(x)]dx. Need Help? Read It4. [3/4 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.6.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A cable that weighs 6 Ib/ft is used to lift 750 lb of coal up a mine shaft 700 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter x * as Xi.) lim 6x; Ax 7-+00 i = 1 X Express the work as an integral and evaluate. 700 750 + 6x dx 1995000 ft-lb Need Help? Read It Submit Answer2. [2/3 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 8.3.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the Integral Test to determine whether the series is convergent or divergent. E n + 6 n = 1 Evaluate the following integral. 00 1 dx x + 6 Since the integral is not C finite, the series is divergent Need Help? Read It