MA 125 Midterm: 1-13s-4
Document Summary
Clearly write your answer in the space provided after each question. Find the absolute minimum value of the function f (x) = x (be sure to give the y-coordinate!) Use the mean value theorem on an a suitable interval to show that the equation x7 +x/2 = 0 has at most one solution. Find the critical number(s) of the function f (x) = Find the open interval on which the function g(x) = (x2+x)ex is decreasing. (clearly indicate the end-points of your interval!) Find the part of the x-axis on which the function h(x) = Find the most general antiderivative of the function f (x) = e2x + 3 x + Find two positive numbers whose product is 81 and whose sum is minimal. You must show your work to get full credit. Displaying only the nal answer (even if correct) without the relevant steps will not get full credit.