MATH 115 Midterm: MATH 115 UPenn 115S04 Exams
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Student no: answer all questions from section a, you may use a handwritten sheet of notes. Calculators are not permitted: read all questions carefully, unless explicitly told otherwise, you should explain all your answers fully, do not seperate the pages of your exam. Put your nal answers in the box provided. = 4x dy dx = dy dx = dy dx = Problem a2: [16 pts] find the following integrals. (a) z. Problem a3: [10 pts] find the following limits: 3x6 + 2x + 1 x3 + 2 (a) lim x (b) lim x 0 (ln x tan x) Problem a4: [4 pts] the graph of y = f (x) is shown below. 5 (b) put the following x-values in order of increasing values of f (x). x = 2, 1. 2 , 4. (c) at which of the following values is f (x) positive? x = 3, 1, 1, 4. (d) is z 2.
