Horizontal tangents at = 0.2 = 1 and 2 =3. Let gbe the function defined by
o(2) = f h(t)dt for 2 <=<6.
(a) Find the value of g(5).
(b) Find the value of g(-2). Show the computations that lead to your answer.
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Find the x-coordinate of each critical point of g on the interval -2 <=<6.
(d) Classify each critical point from part (c) as the location of a relative minimum, a relative
maximum, or neither for g. Justify each of your answers.
(e) For-2 Justify your answers
(1) Explain why there must be a value of w, for l< w < 5, such that g(t) = 5.
(e) Find lim 1-5. Give a reason for your answer.
(h) The function 2 is defined by z(x) = 9(22r). It is known that h(4) = 11.25. Find : (2).
Show the computations that lead to your answer.