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Calculus 1
Calculus 1
32 terms
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Questions
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Answers
1
Find the derivative of 2/x
5
10/x^5
-10/x^6
-10/x^5
10/x^-6
2
The integral of a constant is a constant.
False
True
3
By definition calculus is: branch of mathematics that deals with properties of derivatives and integrals of functions
True
False
4
Which one of these is a real life example of a linear function?
A graph of students heights vs ages
The price of gas per gallon
The height of a ball being thrown over time
The death rate due to corona over time
5
The Intermediate Value Theorem says that, if f(x) is continuous on the closed interval [a,b], then it hits every output
False
True
6
Convert from degrees to radians
π /30
π/ 60
2π/60
π /15
7
The graph of y = f(x+5) is obtained by doing what to the graph of y = f(x)?
Shifting the graph right 5 units
Shifting the graph up 5 units
Shifting the graph left 5 units
Shifting the graph down 5 units
8
Which of these is not an actual rule in Calculus?
Quotient Rule
Chain Rule
Slope Rule
Product Rule
9
What is Euler's number?
who?
3.14159...
2.71828182..
4.13828528...
10
Whats the derivative of cos(x)?
sec (x)
sin (x)
-sin (x)
-sec (x)
11
If f'(x) > 0 on an interval, then f is decreasing on that interval.
False
True
12
All continuous functions are polynomials.
False
True
13
This function is one to one
True
False
14
Extreme Value Theorem states that if f is a continuous function on a closed interval, then f has an absolute max & min.
True
False
15
Every function has a max and min
True
False
16
Find the first derivative of 7x
4
− 9x
2
+6
11x^3-11x
11x^3+11x
28x^3+18x
28x^3 − 18x
17
The derivative of a constant is always positive
True
False
18
What is the derivative of 3cos(x) − 7sin(x)
− 4 sin ( x )
− 3 sin (x) − 7 cos (x)
4 cos(x)
3 sin (x) − 7 cos (x)
19
Which is a way to verify a max or min?
look at the feasible domain
use the quadratic formula
use the second derivative test
use the first derivative test
20
Is this statement true or false?
True
False
21
Chain rule states: if you have a function where x usually goes, then your derivative has an extra u' in it.
False
True
22
Integrals question
0
5
10
1
23
In general, a function is continuous at a if either f(a) does not exist, or limx→a f(x) does not exist, or if they b
True
False
24
What is a one to one function?
If the function is a vertical line
If a function never takes the same value twice
If the function is a horizontal line
If a function periodically takes the same value twice
25
This function is continuous
False
True
26
f(x)=e
x
is called the natural exponential function.
False
True
27
For all m and n, a
m+n
is equal to
(a^m)^n
a^mn
(a^m)(a^n)
a^m +a^n
28
Which rule is displayed?
You made this up
Chain Rule
Quotient Rule
Product Rule
29
For most functions, if you zoom in to the graph at a point, what happens to the graph?
Nothing
It will look like a circle
It will look like a straight line
It will continue to curve
30
Convert from radians to degrees
85
75
105
65
31
Derivative Problem
B
C
D
A
32
If f(x)=g(x), then f'(x)=g'(x).
True
False
