MATH 114 Final: MATH 114 UPenn Math114S04Final Exam
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You have 2 hours to complete this examination. Please show all work in the space provided on your test paper and write your answers in the appropriate place below. Do not detach this sheet from your test. Part iii: free response h(t) = _________________________________________________________________ lim t ! " In the appropriate space on your answer sheet, label each statement as true or false. Questions 2, 3, 4, 5: consider the differential equation y = g(y) where g(y) is given in the graph below: 8. y = 2, y = 1 and y = 5 are constant solutions of y = g(y) . If the initial value y(0) = 4, the corresponding solution is increasing with a horizontal asymptote at 5. If the initial value y(0) is greater than 5, the corresponding solution will be an increasing function. If y(0) = 1, then the corresponding solution is increasing. !y for all points (x, y) then f(x, y) = constant.
