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104/184 Quiz #2 -P3 October 8/9 First Name: Last Name: Student-No: Section: Grade: Very short answer questions 1. 2 marks Each part is worth 1 mark. Please write your answers in the boxes. (a) Find the second derivative of y = 4x2 + 3x − e. Answer: (b) Differentiate N (q) = q · (eq − 5q) with respect to q. Answer: Short answer questions — you must show your work 2. 4 marks Each part is worth 2 marks. (a) Determine the value of k for which f (x) = xk , x<2 is continuous at x = 2. 2x + 1, x ≥ 2 Answer: (b) The following limit represents the slope of a curve y = f (x) at the point (a, f (a)). Determine a possible function f (x) and number a. √ 3h + 1 − 1 lim h→0 h Answer: Long answer question — you must show your work 3. 4 marks Prove that ln x = 3 − 2x has a solution.