1. Consider the function y = sin(5x) on the interval 0

1. Consider the function y sin(5c) on the interval O < < a) Determine where the graph of the function is concave upward and where it is concave downward on the interval O < < b) Find all inflection points of the function on the interval O < < 22. 2. A population of birds (in millions) t years from now is estimated by the following function: P (t) 30t2 +125t+223 4.5t2+2t440 What will the population of the birds be in the long run? 3. Sketch the graph of the following function .f(c) = 2:c3 9m2 + 1 & a) Locate any asymptotes (if any) and determine the end behavior. b) Find where f is increasing/decreasing and any local extrema. c) Find where f is concave up/concave down and any inflection points. d) Sketch a graph and label the relevant points. 4. Evaluate the following limits: 48:c+5 a) limm-oo sin(8x) b) lirnc 3 by completing the following steps: