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Honors calculus quiz Flashcards | StudBud
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Honors calculus quiz
Honors calculus quiz
40 terms
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Questions
40
Answers
1
For an alternating series, ignoring the alternating term, if the the sequence goes to zero, then the series converges
True
False
2
If I maximize the area of a rectangle, it is always a square.
False
True
3
If the limit of the underlying sequence goes to zero, then the series converges by the Basic divergence test
True
False
4
If my series converges and is a geometric series, Then I can find the value the series converges to
False
True
5
Differentialbility implies continuity
False
True
6
What is the range of arcsin(x)?
[0, 1]
[-pi , pi]
[-pi/2 , pi/2]
[ -1, 1]
7
The power series was invented by a mathematician In the 1800's named "Power"
True
False
8
Given a geometric series, the series converges if |r| < 1
True
False
9
I can use the reverse power rule on every integral except when k is not equal to negative one. E.g. x^k
True
False
10
Every continuous function is differentiable
True
False
11
What is Euler's number?
3.1415
2.71828
E=mc2
Who's Euler?
12
I can integrate any function I want
True
False
13
What is x^2+1 differentiated with respect to y
0
Y
2x
1
14
What is the indefinite integral of 1?
X
X + c
1
0
15
When Harvard was founded, calculus wasn't taught the first year because it hadn't been discovered yet
False
True
16
If the integral of my sequence (for my series) equals infinity, then my series diverges
True
False
17
The second fundamental theorem of calculus says:
Something something about anti derivative
I can evaluate the integral by F(b) - F(a) F= anti derivative
Newton was the goat
I can evaluate the integral at the same time as the derivative
18
for disk and washer method, the rectangles are perpendicular to the axis of rotation
False
True
19
Your lab is smarter than the other lab
False
True
20
By the ratio test, if my limit equals 0, then my series is convergent
False
True
21
Mark is a good TA
Yes
Get this guy outta here
He's aight
No
22
The first fundamental theorem of calculus says:
The derivative of the derivative of the derivative of the derivative of the
The integral of the derivative is the derivative
The integral of the original function is the integral
The derivative of the integral is the original function
23
When determining absolute extrema on a closed interval, I don't have to worry about endpoints
True
False
24
Who discovered calculus
Mark
Taylor and leibniz
Newton and Leibniz
Dr. Nicol
25
When does a series diverge based on the basic divergence test?
If the limit doesn't equal 0
If the limit equals 0
If the limit is greater than 1
If the limit is less than 1
26
Once I'm done integrating, I should always make sure my answer is of the same variable as the original problem.
False
True
27
What function do I integrate to get ln(x) +c ?
X^1
x^-1
X^2
x
28
What is an improper integral?
And integral defined over an asymptote or has an infinity in its bounds
An integral that doesnt take its hat off in an elevator
An integral that burps at the dinner table
an integral that I can't integrate nicely
29
What is the difference between washer and disk method?
Washer is a special kind of disk method
Disk is a special kind of washer method
30
Derivatives and integrals are inverses of each other
False
True
31
When using the shell method, my rectangles are perpendicular to the axis of rotation
False
True
32
I can have a series diverge to a finite number
True
False
33
When using trig substitution, I need to use an exponential identity to simplify my expression
True
False
34
When should I use the ratio test? ( A rule of thumb)
On series with an alternating term
Never, I hate series
On series with a factorial term
On every series I see
35
When doing IBP, I choose 'u' to be a log before I choose it to be an exponent
True
False
36
When does a limit exist?
When you're able to plug in the number
I hate limits
The LHS and The RHS equal each other
It just does
37
I will be studying a lot during finals week to do my best on the final
False
True
38
Math is fun
False
True
39
I can represent a polynomial by a power series
True
False
40
A least upper bound and greatest lower bound are also called
Right and left
Supremum and infimum
Up and down
I hate numbers
