1.) an object has a constant acceleration of 72 feet per second squared , an initial velocity of 17 feet per second ,and an initial position of 10 feet. Find the position function describing the motion of this object.
2.)the rate of growth of a particular population is given by (dp)/(dt) =50t^2 - 100t^3/2
where P is the population size and (t) is the time in years.the initial population is 25,000.Find the population function. then use a graphing utility to graph the function , and then use the graph to estimate how many years it will take for the population to reach 50000.
3.)evaluate the integral: [x^2(x^3 + 5)^6] dx
4.)evaluate the integral:sin^3(3x)cos(3x) dx
5.)identify (u) and (du) for integral [x^2(x^3 + 1)^1/2] dx