Sketch the graph of f.  Then identify the values of c for which the limit f(x) exists as x-->c.          {sin x, x less than 0 f(x) = {1-cos x, 0 less than or = to x less than or = to Pi          {cos x, x greater than Pi

Draw the graph of f(x) = sin( in (1-x²) in the viewing rectangle [0, 1] by [0, 0.25] and let I = - $²³ (a) Use the graph to decide whether L2, R2, M₂, and T₂ underestimate or overestimate I. L2 will underestimate I. OL2 will overestimate I. OR₂ will underestimate I. • R₂ will overestimate I. M₂ will underestimate I. O M₂ will overestimate I. OT₂ will underestimate I. T₂ will overestimate I. f(x) dx. (b) For any value of n, list the numbers Ln, Rn Mnr Tn and I in increasing order. (Enter your answers as a comma-separated list.) (c) Compute L5, R 5, M5, and T5. (Round your answer to four decimal places.) L5 = R5 = M5 = T5 =

11. Use the graph of f to sketch the graph of f'.

Determine the intervals on which f is increasing or decreasing, assuming that given figure is the graph of f'. Only consider the portion of the graph on the interval (0,6). Am 1 2 3 4 5 6 (Give your answers as intervals in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) f is increasing on X f is decreasing on