3. Find local extrema of f (x) = 0.6x3 - 4x3 + 1 , and then absolute extrema over [-2.5, 3] by the 2-nd derivative test. At what x the 2-nd derivative test is inconclusive? Summary of the Answer: at X = the second derivative test is inconclusive; at x = the function f (x) achieves its local max / min (circle the correct one) , which is at X = the function f (x) achieves its local max / min (circle the correct one) , which is at X = the function f (x) achieves its absolute max / min (circle the correct one), which is at X = the function f (x) achieves its absolute max / min (circle the correct one), which is 4. ( 10 points) The figure on the right is the graph of a function 2 f (x). What is the value of the definite integral S_ f (x) dx 8 5. ( 10 points each) Evaluate the definite integral: "(5 cost + 2 sec2 t ) dt