Mcv4ua Practice Test

Calculus and Vectors MCV4U-A
Practice Test
Time: 2 hours
Total Marks: 101

Final Test Score _____ ÷ 101 × 100 = _____%

Instructions
• There is a label attached to this page. Compare the course code on the label with the course code printed on the Final Test to make sure that they are the same. Inform the Final Test supervisor immediately if they are not the same. • The Final Test pages are numbered 1 to 13. Check to see that all thirteen pages are attached. Inform the Final Test supervisor immediately if there are any pages missing.
• You may use a calculator during the Final Test. You may not use any books or notes.
• You must write your answers in the space provided.
• There are two parts to the test. A breakdown of the marks and the approximate time needed for each part are given below. Look over the entire test before you begin. Manage your time carefully, and leave some time at the end to review your work.
Part

Category

Marks

Preview
A

Calculus

B

Vectors

5
62

70

39

40

Review
Total

Time (minutes)

5
101

120

• At the end of the test, return this test paper and all of your work (including drafts) to the Final Test supervisor. Please note that, for security reasons, marked tests are not returned to students.

Dec. 3, 2009 www.ilc.org Copyright © 2008 The Ontario Educational Communications Authority. All rights reserved.

Calculus and Vectors MCV4U-A
Practice Test

page 1

Part A: Calculus (62 marks) (approximate time: 70 minutes)
1.

Find the derivative by calculating lim h→0 3 for f (x) =
(5 marks) x+2 www.ilc.org

f (x + h) − f (x) h Copyright © 2008 The Ontario Educational Communications Authority. All rights reserved.

Calculus and Vectors MCV4U-A

page 2

Practice Test

2.

3.

Differentiate and simplify the following: (6 marks: 3 marks each)
a)

f (x) =

b)

y = l 3x

2

2x − 1 − 3 (x + 1)2

4

 sin 3 x

Evaluate the following limits: (6 marks: 3 marks each)
a)

lim x→0 x 3 − x 2 − 12x x2 − 4x

Copyright © 2008