MATH 115 Midterm: MATH 115 UPenn 115S03Post Exams
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Vijay sookdeo mwf 10:00 - 10:50 am: no calculators, notes, or books are allowed on this exam, please show all your work and justify your answers. You may not receive full credit for a correct answer if insu cient work is shown or insu cient justi cation is given: clearly label and circle your nal answers. Solve the following: (b) ln(x2 + 1) = 0 (c) Let f (x) = ln x and g(x) = x + 2: (8 points) (a) find (f g)(x) and give its domain. (b) find (g f )(x) and give its domain. Suppose a colony of cholera bacteria initially contains 100 bacteria and doubles every half hour. Then the population after t minutes is given by p(t) = 100(2)kt, for some constant k. (a) 5: (10 points) (a) de ne continuity of f (x) at a point by completing the following sentence. A function f is continuous at a point a if . (b)
