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.