Mcv4u answers Calculus and Vectors (TVO ILC)

Mcv4u answers


Calculus and Vectors (TVO ILC)

,Calculus and Vectors, MCV4U
Practice Test Solutions

Total Marks: 100 Score: %




Instructions


The Practice Test uses the same format, type of questions, marking scheme, and length as the Final
Test.

To get the most out of this Practice Test, allot yourself two uninterrupted hours, and don’t use
notes or books. You may use a scientific calculator.

Write your answers in the space provided.

The test has four (4) parts. An approximate time is given for each part. Look over the test before
you begin, and leave some time to review your work at the end.

Part Category Marks
Preview
A Knowledge and Understanding 46
B Thinking 22
C Communication 16
D Application 16
Review
Total 100


Please answer the test questions within the 2-hour final test time limit (up to 4 hours
for students with special accommodations).

, TVO ILC MCV4U
Practice Test Solutions




Part A: Knowledge and Understanding (46 marks) (approximate time: 30 minutes)

1. Evaluate.

x 2  9x 
a)lim (2 marks)
x1 4
x3
 12
lim 
2
 9x  4 (1)2  9(1)  4  12
x 





x1
x 3 (1)3 1


b) lim
x2 x 2  2x  8
(2 marks)
x2


lim x  2x  8
2
x  2x  4
x2 
lim  lim  4  2   6
x2
x2
x  2 x 4
x2



2. What is the average rate of change between x = 1 and x = 3 for the function g(x)  3x  1  11?
2


(3 marks)

g (1)  31  1  11  11 (0.5 marks)
2



g (3)  33  1  11  1 (0.5 marks)
2




average rate of change =  1  11  (2 marks)
31
6


3. For the function
g(x)  8x 2  x  4 , at what tangent point is the instantaneous rate of change equal
to  1? (3 marks)

g'(x)  16x 
(0.5 marks)
1 16x  1  1
(1 mark)
x0
(0.5 marks)
g (0)  4
(0.5 marks)
The tangent point is (0,4). (0.5 marks)