stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
MCV4U Final Exam Review Flashcards | StudBud
Explore
/
MCV4U Final Exam Review
MCV4U Final Exam Review
37 terms
·
StudBud Administration
·
21 plays
MCV4U Final Exam review #calculus #derivatives #vectors #limits #rateofchange
Flashcards
37 cards
F
Practice quiz
P
Host live
L
Questions
37
Answers
1
In the interval x ϵ [0,7], Point E and F are _________________?
local minimums
global minimums
local maximums
global maximums
2
Given the function f(x) = e
x
, the derivative f'(x) = ?
1
1/x
0
f'(x) = ex
3
If the displacement function is given as s(t) = t
4
, then the velocity function is ?
v(t) = 12t2
v(t) = 4t3 + t2
v(t) = 4t3
v(t) = 4t2
4
Given the function f(x) = ln x
, the derivative f'(x) = ?
x2
ex
x-2
1/x
5
Another notation to represent derivative is ?
dx/dy
dy/dx
y"
df
6
What is the direction vector of the vector equation r = (3,0,1) + t (-2,1,5)
(-2,1,5)
(5,1,-2)
(3,0,1)
(1,-1,-4)
7
Given the function f(x) = cos x
, the derivative f'(x) = ?
-cos x
-sin x
sinx
cos x
8
Given the function f(x) = ln(4x)
, the derivative f'(x) = ?
1/x
1/4
ln e
4x
9
Given the function f(x) = sin
2
x
, the derivative f'(x) = ?
2cos2x
2cosx sinx
2sin2x
sin x
10
When two normals have a dot product equal to zero, the planes are ______?
perpendicular
coincident
parallel
skew
11
Given the function g(x) = ∛x , the derivative of the function g'(x) = ?
2x-1/3 / 3
x-2/3 / 3
x-1/3
x2/3
12
Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z + 8 = 0, these planes ?
perpendicular
parallel
coincident
skew
13
Given the following symmetric equation, state the parametric equation for the y component?
y = 2+5t
y=1+ 4t
y = 3 + 6t
y = 1+ 5t
14
What type of asymptote is found when you find the limit f(x) as x-----> ±∞
slant asymptotes
oblique asymptotes
horizontal asymptotes
vertical asymptotes
15
Point D is a _________________?
local minimum
local maximum
global minimum
global maximum
16
The cross product of (1,1,0) and (1,0,1) is
(1, -1, -1)
(1,0,0)
(1,1,2)
(0,0,0)
17
The normal of the plane given the Cartesian Equation 2x -3y +7z = -4
(2,-3,7)
(-2,3,-7)
4
-4
18
Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z -8 = 0, these planes ?
perpendicular
parallel
skew
coincident
19
Given the function f(x) = 3
x
, the derivative f'(x) = ?
x . (3x-1)
3ex
x3
ln 3 . (3x)
20
Given the function f(x) = sin(4x)
, the derivative f'(x) = ?
cos(4x)
4cos(4x)
4cos x
-4sinx
21
The process of setting the derivative of a function equal to zero and solving it is called ?
dependence
tangent
first principles
optimization
22
Given the following parametric equations, state the symmetric equation ?
(x-2)/1 = (y+1)/-5 = (z-3)/6
(x-2)/1 = (y-11)/-5 = (z+3)/6
(x+2)/1 = (y+1)/5 = (z-3)/6
(x-2)/-1 = (y+1)/5 = (z-3)/-6
23
The vector (4,-1,0) exists in what plane ?
xy- plane
xz-plane
yz - plane
xyz-plane
24
Determining the values of x when f"(x) = 0 is finding the _______________ ?
local min/max. points
inflection points
y-intercept
asymptotes
25
The limit of the following function, as x ---> 3, is ______________
1
4
3
dne (does not exist)
26
Given A(2,2,1) and B(5,4,3), then vector AB is ?
AB = (3, 2, 1)
AB = (-3, 2, -2)
AB = (3, 2, 2)
AB = (3, 2, 0)
27
Given the function f(x) = -3x
3
+ x
2
+ 1, the derivative of the function f'(x) = ?
-9x2 + 2x
-9x2 + 2
-9x2
-9x2 + 2x + 1
28
Given the function f(x) = x
4/5
, the derivative of the function f'(x) = ?
5x-1/5 / 4
4x-1/5 / 5
5x-4/5 / 4
4x-3/5 / 5
29
Given the following system, the two sets of intersecting lines are ?
skew
parallel
coincident
perpendicular
30
Determining the values of x when f'(x) = 0 is finding the _______________ ?
local min/max. points
inflection points
roots
asymptotes
31
Determine the |(2,-1, 3)| (magnitude)
√12
√14
√8
14
32
The limit of the following function ?
7
0
5
undefined
33
Determine the dot product of (2,0,3) and (1,4,0) ?
4
-2
0
2
34
Given the function f(x) = x
100
+ 100x
-2
, the derivative of the function f'(x) = ?
100x99 - 200x-1
100x99 + 200x-3
100x99 - 200x-3
100x99 +100
35
What is the derivative of the function f(x) = (2x
3
+ 1)
5
?
5(2x3 +1)4 (6x2)
2x15 + 1
5(6x2 )4
5(2x3 +1)4
36
If the displacement function is given as s(t) = t
4
, then the acceleration function is ?
a(t) = 4t2
a(t) = 4t3
a(t) = 4t3 + t2
a(t) = 12t2
37
Given the function f(x) = e
-x
, the derivative f'(x) = ?
xex
-e-x
e-x
1
