9. [-/1 Points] DETAILS SCALCET9 4.9.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x ) = 2x3 - 2x2+ 7x F( x ) = Need Help? Read It Watch It Submit Answer 10. [-/1 Points] DETAILS SCALCET9 4.9.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find f. f' ( x ) = 12x3 + , x> 0, f(1) = -3 f( x ) = Need Help? Read It Submit Answer 11. [-/6 Points] DETAILS SCALCET9 5.1.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The graph of the function f is given. 24 18 y = f(x) 12 6 6 12 18 24 30 36 (a) Use six rectangles to find estimates of each type for the area under the given graph of f, the x-axis, and the lines x = 0 and X = 36. (i) L6 (sample points are left endpoints) L6 = (ii) 6 (sample points are right endpoints) R 6 = (iii) Mo (sample points are midpoints) Mc = (b) Is L an underestimate or overestimate of the true area? overestimate underestimate (c) Is Ro an underestimate or overestimate of the true area? overestimate underestimate (d) Which of the numbers L6, R6, or Mo gives the best estimate of the true area? O L6 OMG OR6