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Neville MCV4U Final Exam Review Flashcards | StudBud
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Neville MCV4U Final Exam Review
Neville MCV4U Final Exam Review
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MCV4U Final Exam review #calculus #derivatives #vectors #limits #rateofchange
Flashcards
32 cards
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Practice quiz
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Questions
32
Answers
1
The limit of the following function, as x ---> 3, is ______________
4
3
dne (does not exist)
1
2
Determine the slope of the tangent to the curve f(x) = x
2
- x at the point where
x
=4
6
3
4
7
3
What is the derivative of the function f(x) = (2x
3
+ 1)
5
?
5(2x3 +1)4 (6x2)
5(2x3 +1)4
5(6x2 )4
2x15 + 1
4
Another notation to represent the first derivative is ?
y"
df
dx/dy
dy/dx
5
Given the function f(x) = cos x
, the derivative f'(x) = ?
cos x
sinx
-cos x
-sin x
6
Given the function f(x) = -3x
3
+ x
2
+ 1, the derivative of the function f'(x) = ?
-9x2 + 2
-9x2 + 2x + 1
-9x2
-9x2 + 2x
7
The vector (4,-1,0) exists in what plane ?
xy- plane
xz-plane
yz - plane
xyz-plane
8
What is the Product Rule ?
(f )(g) + (g')(f')
none
(f ')(g) - (g')(f)
(f ')(g) + (g')(f)
9
Determining the values of x when f"(x) = 0 is finding the _______________ ?
inflection points
local min/max. points
y-intercept
asymptotes
10
When two normals have a dot product equal to zero, the planes are ______?
parallel
skew
perpendicular
coincident
11
Determining the values of x when f'(x) = 0 is finding the _______________ ?
asymptotes
inflection points
local min/max. points
roots
12
Given the function f(x) = ln(4x)
, the derivative f'(x) = ?
ln e
4x
1/4
1/x
13
Below is the graph of f'(x). For what values of x is f(x) decreasing?
0<x<4
x<0
x<-2
x> -2
14
Given the following symmetric equation, state the parametric equation for the y component?
y = 3 + 6t
y = 2+5t
y = 1+ 5t
y=1+ 4t
15
Given the function f(x) = 3
x
, the derivative f'(x) = ?
3ex
ln 3 . (3x)
x3
x . (3x-1)
16
Given A(2,2,1) and B(5,4,3), then vector AB is ?
AB = (3, 2, 2)
AB = (-3, 2, -2)
AB = (3, 2, 1)
AB = (3, 2, 0)
17
Given the following parametric equations, state the symmetric equation ?
(x-2)/1 = (y+1)/-5 = (z-3)/6
(x+2)/1 = (y+1)/5 = (z-3)/6
(x-2)/-1 = (y+1)/5 = (z-3)/-6
(x-2)/1 = (y-11)/-5 = (z+3)/6
18
Determine the |(2,-1, 3)| (magnitude)
√12
14
√14
√8
19
Given the function f(x) = ln x
, the derivative f'(x) = ?
x-2
x2
ex
1/x
20
The limit of the following function ?
undefined
0
5
7
21
Given the function f(x) = sin(4x)
, the derivative f'(x) = ?
cos(4x)
4cos(4x)
4cos x
-4sinx
22
Given the function h(x) = -17 , the derivative of the function h'(x) = ?
0
-17
-17x-1
17
23
What is the direction vector of the vector equation r = (3,0,1) + t (-2,1,5)
(3,0,1)
(1,-1,-4)
(5,1,-2)
(-2,1,5)
24
Given the function f(x) = 4x
5
, the derivative of the function f'(x) = ?
x2
20x4
80x3
5x4
25
If the displacement function is given as s(t) = t
4
, then the velocity function is ?
v(t) = 4t3 + t2
v(t) = 4t2
v(t) = 12t2
v(t) = 4t3
26
Determine the dot product of (2,0,3) and (1,4,0) ?
2
-2
4
0
27
Given the function g(x) = ∛x , the derivative of the function g'(x) = ?
x-1/3
x-2/3 / 3
x2/3
2x-1/3 / 3
28
The normal of the plane given the Cartesian Equation 2x -3y +7z = -4
(-2,3,-7)
4
-4
(2,-3,7)
29
Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z + 8 = 0, these planes are...?
skew
perpendicular
coincident
parallel
30
Given the planes x + y - 2z + 4 = 0 and -2x -2y +4z -8 = 0, these planes are... ?
skew
perpendicular
parallel
coincident
31
If the displacement function is given as s(t) = t
4
, then the acceleration function is ?
a(t) = 4t3
a(t) = 12t2
a(t) = 4t2
a(t) = 4t3 + t2
32
Given the function f(x) = x
100
+ 100x
-2
, the derivative of the function f'(x) = ?
100x99 + 200x-3
100x99 +100
100x99 - 200x-1
100x99 - 200x-3
