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Area, Antiderivatives, & the FTC Flashcards | StudBud
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Area, Antiderivatives, & the FTC
Area, Antiderivatives, & the FTC
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RAM and antiderivatives #calculus #antiderivative
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Answers
1
How do you say goodbye in Spanish?
adios
sayonara
au revoir
arrivederci
2
What is the precise connection between derivatives and derivatives
they are inverses
they are the same
I have missed so many that I no longer trust my instincts
they are "opposites"
3
What shape is this?
Illuminati
Oval
Triangle
Octagon
4
What color are the M&M's? (If you are color blind, get help on this one!!!)
blue
green
yellow
red
5
Who is this?
Cookie Monster
Elmo
Big Bird
Oscar the Grouch
6
Use part I of the FTC to evaluate this problem:
ex (1/x) - ex(2x)
elnx (1/x) + ex(x2)
none of these
elnx (1/x) + ex(2x)
7
Which of these functions would be able to use the formula for a triangle on [0,3]?
f(x)=2/3x+5
y=lnx
y=x2
y=|x|
8
What is an antiderivative for f(x) = - cos(x)?
F(x) = cos(x)
F(x) = sin(x)
F(x) = csc2x
F(x) = -sin(x)
9
Use part I of the FTC to evaluate this problem:
cos(5)(0)-cos(4)(0)
0 u
cos(5)-cos(4)
sin(5)-sin(4)
10
Would this RAM give an underestimate or an overestimate?
not enough info
over
exact
under
11
Which of the following is a property of definite integrals?
Constant Multiple Rule
Zero Integral Property
Multiplication
Additivity
12
Use part I of the FTC to evaluate this problem:
ex
no way, this is impossible
et
19.0855 u2
13
Evaluate the following integral using NINT (you should use your calculator or Desmos).
none of these
82.7 u2
312
312.5 u2
14
What does part I of the FTC say?
The antiderivative and derivative are the same
You can use derivatives to evaluate integrals
You can use antiderivatives to evaluate integrals
The antiderivative and the derivative are inverses
15
How long until our National Math Holiday?
44 days
Right now - every day in math class is a party (yahoo)
about 1 and a 1/2 months
too long
16
What is the precise connection between antiderivatives and derivatives
they are inverses
they are "opposites"
who knows, this sounds like gibberish to me
they are the same
17
Which kind of RAM is used here?
LRAM
Dodge Ram
RRAM
MRAM
18
What would be the antiderivative of a jerk equation?
velocity
distance
acceleration
stop the madness
19
Which method usually gives us the exact area under a discontinuous curve?
Counting Graph Paper
RAM methods
NINT
Antiderivatives
20
Use part I of the FTC to evaluate this problem:
ecosx
ecosx (- sinx)
ecosx - sinx
ex
21
When finding ________ area, we must use absolute value.
Total
Signed
22
Which theorem provides us with the formula below? Hint: Look on your yellow sheet
Fundamental Theorem of Calculus (Part 2)
Mean Value Theorem for Integrals
Fundamental Theorem of Calculus (Part 1)
Strapp's Theorem
23
Use part I of the FTC to evaluate this problem:
√(lnx)(1/x) - √(x2)(2x)
√x(1/x) - (2x)
√lnx(1/x) + √x(2x)
none of these
24
What is the precise connection between integrals and derivatives
they are the same
they are "opposites"
didn't we just have this question?
they are inverses
25
Use part I of the FTC to evaluate this problem:
ex
eyour momma
no way, this is impossible
-ex
26
On which of these intervals would ∫(4x)dx be able to be found using a trapezoid?
[-5,0]
[-5,-3]
[-5,5]
[3,5]
27
Which theorem connects differential calculus and integral calculus?
Pythagorean Theorem
Calculus Connection Theorem
Mean Value Theorem
Fundamental Theorem of Calculus
