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MCV4U Final Exam Review (Shorter) Flashcards | StudBud
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MCV4U Final Exam Review (Shorter)
MCV4U Final Exam Review (Shorter)
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MCV4U Final Exam review
Flashcards
31 cards
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Practice quiz
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Questions
31
Answers
1
Point D is a _________________.
local minimum
local maximum
global maximum
global minimum
2
Point B is a _________________.
local maximum
global minimum
global maximum
local minimum
3
Given the function f(x) = sin x
, the derivative f'(x) is:
cos x
-sin x
sin2x
-cos x
4
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
5
Point A is a _________________.
local minimum
global minimum
local maximum
global maximum
6
Given the function f(x) = 3
x
, the derivative f'(x) is:
x . (3x-1)
x3
3ex
ln 3 . (3x)
7
What type of asymptote is found when you find the limit f(x) as x → ±∞
vertical asymptotes
slant asymptotes
oblique asymptotes
horizontal asymptotes
8
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
9
What is the Product Rule?
(f ')(g) - (g')(f)
none
(f ')(g) + (g')(f)
(f )(g) + (g')(f')
10
Given the function f(x) = e
x
, the derivative f'(x) is:
1
0
1/x
f'(x) = ex
11
Another notation to represent a first derivative is:
df
dx/dy
y"
dy/dx
12
Given the function f(x) = ln x
, the derivative f'(x) is:
x-2
x2
1/x
ex
13
Given the following symmetric equation, state the parametric equation for the y component?
y = 3 + 6t
y=1+ 4t
y = 2+5t
y = 1+ 5t
14
Given the function f(x) = -3x
3
+ x
2
+ 1, the derivative of the function f'(x) is:
-9x2
-9x2 + 2
-9x2 + 2x + 1
-9x2 + 2x
15
The normal of the plane given the Cartesian Equation 2x -3y +7z = -4
(2,-3,7)
(-2,3,-7)
-4
4
16
Given the function h(x) = -17 , the derivative of the function h'(x) is:
17
-17
-17x-1
0
17
What is the direction vector of the vector equation r = (3,0,1) + t (-2,1,5)?
(-2,1,5)
(3,0,1)
(5,1,-2)
(1,-1,-4)
18
What is the Quotient Rule?
{(f ')(g) + (f)(g')} / g2
{(f ')(g) - (f)(g')} / g2
(f ')(g) + (f)(g')
{(f )(g') - (f ')(g)} / g2
19
Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z -8 = 0, these planes are:
perpendicular
parallel
skew
coincident
20
The process of finding a derivative by using limits and f(x+h)-f(x) is called ?
first principles
rationalizing
optimization
factoring
21
Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z + 8 = 0, these planes are:
parallel
coincident
skew
perpendicular
22
Determine the dot product of (2,0,3) and (1,4,0) ?
4
-2
0
2
23
Given the function f(x) = cos x
, the derivative f'(x) is:
cos x
sinx
-sin x
-cos x
24
Dot product is also referred to as _____, and the cross product is also referred to as _____.
scalar product, vector product
none of these
square product, triangle product
both of these
25
Given A(2,2,1) and B(5,4,3), then vector AB is:
AB = (3, 2, 2)
AB = (3, 2, 1)
AB = (-3, 2, -2)
AB = (3, 2, 0)
26
Given the function f(x) = 4x
5
, the derivative of the function f'(x) = ?
x2
20x4
80x3
5x4
27
Given the function g(x) = ∛x , the derivative of the function g'(x) is:
x-1/3
2x-1/3 / 3
x-2/3 / 3
x2/3
28
If the displacement function is given as s(t) = t
4
, then the velocity function is:
v(t) = 4t3
v(t) = 4t2
v(t) = 4t3 + t2
v(t) = 12t2
29
The limit of the following function, as x → 3, is ______________
3
1
dne (does not exist)
4
30
Determine |(2,-1, 3)|. (Magnitude)
√8
√14
√12
14
31
What is the limit of the following function?
7
5
undefined
0