10.
Which of the following functions is neither even nor odd?
a)
f
(
x
) = 4
x
2
– 3
x
+ 2
b)
g
(
x
) = 3
x
3
– 2
c)
h
(
x
) = 6
x
2
+ 1
d)
f
(
x
) = 8
x
4
– 5
x

11.
Find the magnitude of the resultant of two vectors
u
and
v
, given
=
u
5
,
=
v
4
and the
angle between the vectors when they are arranged tail to tail is 65°.

12.
The slope of the vector that is perpendicular to the scalar equation 2
x
– 6
y
+ 1 = 0:
6
2
3

13.
The dot product of
a
= (2, 5, 1) and
b
= (–5, 4, 2):
5

14.
Given vectors
=
u
(
(2, 4, –3) and
=
v
(
(6, –2, –1),
×
u
v
is
a)
(–10, –16, –28)
b)
(12, –8, 3)
c)
(8, 2, –4)
d)
(2, –20, 20)

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Practice Test
Calculus and Vectors, MCV4U-B
15.
Given two vectors
u
= (14, –6) and
v
= (–2, 5), the projection of
u
on
v
is

4
Part B: Knowledge and Understanding (16 marks)
(approximate time: 15 minutes)
16.
Find the equation of the tangent line to
=
−
+
f x
x
x
(
)
2
4
7
3
at (2, 15).
(4 marks)

Practice Test
Calculus and Vectors, MCV4U-B
5
17.
Determine the scalar, vector, and parametric equations of the plane that passes through
the points
P
(1, 0, 4),
Q
(3, 1, –6) and
R
(–2, 3, 5).
(12 marks)
Part C: Thinking (22 marks)
(approximate time: 30 minutes)
18.
For the function
=
−
f x
x
x
(
)
2
2
, find the following:
a)
the
x
- and
y
-intercepts
(2 marks)
4
2

Practice Test
Calculus and Vectors, MCV4U-B
6
b)
the horizontal and vertical asymptotes
(2 marks)
c)
the first and second derivatives
(6 marks: 3 marks each)

Practice Test
Calculus and Vectors, MCV4U-B
7
d)
any local maximum or minimum points
(2 marks)
e)
the intervals of increasing and decreasing
(3 marks)

Practice Test
Calculus and Vectors, MCV4U-B
8