MATH 1231Quiz 6Thursday, March 19, 2015Pleaseprintyour nameShow your work.Each problem is worth 10 pts.In problems 1 through 7, find the given integral; i.e., find theindicated general antiderivative.1.Z3x2dxAnswer:Z3x2dx=2.Z(6x2-2x-7)dxAnswer:Z(6x2-2x-7)dx=3.Z√x dxAnswer:Z√x dx=4.xdxZ300Z3005.10e5xdxZ
MATH 1231Quiz 6, March 19, 201527.Z16x3+ 4√x+ 1dxZ16√x+ 1dx=In problems 8 and 9, write a formula forF, the specific antiderivative off.8.f(x) = 2x+ 6;F(1) = 11f(u) =2u+ 6u;F(1) = 510. A company initiated a plan in 2013 for hiring new employees at the rate of100x+ 200 new employees per yearwherexis the number of years since the beginning of 2013 and 0≤x≤5. At the beginningof 2013, the company had not yet hired any new employees, so the number of new hires whenx= 0 is 0.(a) Write a formula forF(x) the total number of new hiresxyears from the beginning of 2013.Show the steps in your work and include units in your answer. (7 pts)Answer:F(x) =(b) Find the projected total number of new hires at the beginning of 2016. Include units inyour answer. (3 pts)Answer: Projected total number of new hires at the beginning of 2016.