MAT-1110 Final: MATH 1110 App State summer2012 Final Exam
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/21 points) all answers should either be , , a ( nite) real number, or dne ( does not exist ). (a) use the graph of the function to evaluate the limits. [do not use l"hopital"s rule while evaluating this limit. ] (c) lim x 0 cos(x) x2 (d) lim x 1 x3 + 5x2 + 7x + 3 x2 + 2x + 1 (e) lim x x2e x. /19 points) let f (x) = z x. 2 f (t) dt where the graph of y = f (x) is given below. Label each as a relative minimum, relative maximum, both, or neither. (f) where is f (x) concave down? (g) locate all of the in ection points of f (x). (h) locate all of the critical points of f (x). Why or why not? (b) verify that y = t + ce t is a solution of y + y = t + 1.
