MATH 184 Quiz 2’
October 30
Grade:
First Name:
Last Name:
Student-No:
Section: 184-104
Short answer questions — you must show your work
1. 6 marks Each part is worth 2 marks.
(a) Differentiate y = (x2 + 3)x .
Answer:
(b) Differentiate y = ln
(x2
2x
.
+ 1)3
Answer:
(c) You invest $100,000 now at an annual percentage yield of 5%, compounded continuously.
How many years will it take for your investment to become $300,000? (A calculator-ready
form will suffice.)
Answer:
Long answer question — you must show your work
2. 4 marks Currently 1800 people ride a commuter passenger ferry each day and pay $4 for
a ticket. The number of people q willing to ride the ferry at price p is determined by the
relationship
2
q − 3000
p=
, (q < 3000).
600
The company would like to increase its revenue. Use the price elasticity of demand to give
advice to management on whether it should increase or decrease its price from $4 per passenger.
p dq
Recall that = E =
.
q dp
Answer: