What are higher-order derivatives?

first, second, third, fourth derivative, etc.

If you are using the trapezoidal rule, what does the "h" stand for?

the x-value "width" of each trapezoid

What's a good reason NOT to use the trapezoid rule?

when the x-value interval of each trapezoid is not the same

What is the purpose of Newton's Method?

to estimate the solution to an equation

What is the main purpose of linearization?

to estimate difficult values without a calculator

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Calc with Apps Group Presentation Review

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Questions 26

Answers

1
What is the derivative of position?
?position^(?-1)
speed
acceleration
velocity
2
What is the first name of the current vice-president of the United States?
Mister
Mike
Elizabeth
Jared
3
What's the third derivative of x⁴ ?
24x
I'm tired of this. Can we play Hungry Hungry Hippos instead?
x^3
48
4
A first-derivative number line test shows a plus BEFORE x=2 and a minus AFTER x=2. Therefore, x=2 is a...
relative minimum
relative maximum
number which I can count to without using my fingers and toes
point of inflection
5
Be sure to check endpoints for points of inflection.
True
False
6
What is a Point of Inflection?
the name of the new James Bond movie
where there is a max or min
where f ' (x) = 0
where concavity changes
7
What are higher-order derivatives?
first, second, third, fourth derivative, etc.
those with sine, cosine, and tangent
derivatives that result in larger numbers
I don't know. Why don't you ask a NERD or something?
8
A first derivative number line test shows plusses both before AND after x=5. What exists at x=5?
endpoint
relative minimum
relative maximum
none of the above
9
Newton's Method involves which other Calculus topic?
optimization
linearization
concavity and points of inflection
Sir's Method and Isaac's Method
10
Which of these states is furthest from Maryland?
Arizona
Kansas
Vermont
Missouri
11
If you are using the trapezoidal rule, what does the "h" stand for?
H stands for "hammer". That's what my Speak & Spell told me.
the x-value "width" of each trapezoid
the y-value sides of each trapezoid
the number of trapezoids
12
Optimizing can refer to finding the maximum or minimum of a real-life situation.
False
True
13
If you were linearizing to find the value of √4.03, you would linearize at...
x = 4
x = 0.03
x = 4.03
x = the decimal point
14
The equation of a line can be written as y=m(x-x₁)+ y₁
False
True
15
Which of these is NOT a Star Wars movie?
Power of the Dark Side
Return of the Jedi
The Force Awakens
Attack of the Clones
16
What's a good reason NOT to use the trapezoid rule?
when the x-value interval of each trapezoid is not the same
when the student I'm cheating off of is not using the trapezoid rule
when I can use the more accurate RAM
when I don't have a calculator
17
What is the purpose of Newton's Method?
to estimate the solution to an equation
to determine the extremes of a function
to quickly de-seed figs
to find limits in the case of 0/0
18
What is true when a moving object changes direction?
s(t) = 0
gravity switches direction and we're all sucked into a black hole
v(t) = 0
a(t) = 0
19
If the perimeter of a rectangle is 100, what is the equation for its area?
Really? A question I have to think about? Can I go to the bathroom?
A = (x)(x)
A = (x)(50-x)
A = (x)(100-2x)
20
Which of these is NOT a Boston sports team?
Celtics
Red Sox
Green Monsters
Bruins
21
What is the main purpose of linearization?
to use a brainy sounding word to show people that you're really smart
to draw as straight as a curve as possible
to integrate functions that have more than one variable
to estimate difficult values without a calculator
22
What do you call the punctuation mark of three dots in English class, reading class, ...
treperiodical
apositive
ellipsis
just DOTS, or DOT-DOT-DOT
23
What is the second derivative of.................. y = 6x² - 5x + 4 ?
Again with the thinking? Can I get a drink of water?
0
12x - 5
12
24
Where do you NOT search for absolute extremes?
f ' (x) = 0
endpoints
f ' (x) = undefined
points of inflection
25
Which of these am I NOT certified to teach?
Kindergarten Math
Modern World History
7th Grade Science
Music Theory
26
When finding an absolute minimum on interval (0, 5), x=5 might be the answer.
False
True

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