Find the following integrals. a) J- -dx 7 b) 2√x 8. The cost function is given by C(x) = 4000+500x and the revenue function is given by R(x)=2000x-60x² where x is in thousands and revenue and cost is in thousands of dollars. a) Find the profit function. b) Find the larger break-even quantity. 9. Sketch a graph with the following properties. Your graph should be drawn very clearly with axes labeled f'(x) >0 over (-0,3) f'(x)<0 over (3,0) There is a discontinuity at x = 1 f(1) = 5 10. Give an example of a function that includes the quantity e and a logarithm that has a derivative of 0. Explain how you know this is the case for your function.