17. Determine lim r - Show all your work. In(r) 18. Determine lim (pl/lo(=) )_ 19. Determine the following indefinite integrals: (a) / (e ter - sin(r)) dr (b) / (+ 2- 3x) do 20. Find the function f(r) with f'(r) =3x3 - 9r + 4 and f(1) = 10. 21. Estimate / ,p' de using three rectangles and left-end points. 22. Using the Riemann sum definition of a definite integral, determine the value of [ (2x - 1) dr. 23. Suppose that f( x) = [eat. Determine the derivative of f (r). 24. Evaluate (x2 + sin(x)) dr. 25. Define the function F(x) = /" sin(v7) de on the interval 0 Xzo . or Sin x = 0 now, check for global maxima " X E (0, 41 = X= 0, IT F ( X ) = F (o ) = J. sinat all = 0 F (1 ) = F (M ) = [ Aint add I ("sing. ( ay) dy = =( (4).(-los4) -(1)(- siny)] 2 . =. J . [ - 1 (- ) + 0] = 2 TT 7 fix ) attain it's maximum at IT