advertisement

104/184 Quiz #2 -P2 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) Differentiate y = 7x4 + 2eπ . Answer: (b) Differentiate s(t) = t2 · (3et ) with respect to t. Answer: Short answer questions — you must show your work 2. 4 marks Each part is worth 2 marks. (a) 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. 3x2 + 4x − 7 x→1 x−1 lim Answer: (b) Find the equation of the tangent line to y = x when x = 1. ex Answer: Long answer question — you must show your work 3. 4 marks Determine the value of a and b for which 3 x, x<1 f (x) = ax + b, x ≥ 1 is differentiable at x = 1. Sketch a graph of your solution. Answer: