Power Rules!
What is the derivative of
x9
9x8
What is the name of the character in Greek myth that pushes the boulder up a slope?
Sisyphus
There is a ball down a hill accelerating horizontally at 4.8 m/s2 rightward from your perspective. At the time you see it it is already going 6m/s to the right. After 3 seconds what is the displacement of the ball from the place it was when you started observing it?
39.6 meters
What is this?
Lim Δx->0 for (f(x+Δx)-f(x))/Δx
Definition of a derivative
Daisy's House
what is d/dx(f(x) if
f(x)=x2+x1+x0
2x+1
Find the slope of f(x) at x = 3 if
f(x)=x^3+2
27
What is the name of the Island South of Sicily?
Malta
simplify this limit if
Lim Δx->0 for (f(1+Δx)-f(1))/Δx
and
f(x)=x2+3x
5
Who was the shortest President OR President with the shortest Presidency
James Madison/William Henry Harrison
DOUBLE JEOPARDY
PLACE YOUR BETS NOW
The nickname of Joseph (Iosif) Stalin during his rule over the Union of Soviet Socialist Republics.
Find the slope of f(x) at x = 2 if
f(x)=x7
448
You launch a rocket into the air but forget the fuel.
Initially it was launched at 30 m/s at 90o from the horizontal. What is the maximum height of the rocket?
g= 10 m/s2
45 meters
ඞ
What popular video game character does this look like?
Among us
An invasive species of plant appears in a fruit grove at time t=0 and begins to spread. The function C defined by C(t) = 7.6arctan(0.2t) models the number of acres in the fruit grove affected by the species t weeks after the species appears. It can be shown that C'(t) = 38/(25+t2). Does this species have any natural predators in the local ecosystem?
No.
derivative of
x3-x2+3x-x-1
Find the slope of the graph y=x6+7x5-2x4+x3-6x2+9x+1 at x=-6.076
2.75
Analysis time!
Why are the units for acceleration, velocity, and displacement: m/s2, m/s and m respectively?
Explanations vary
simplify this limit if
Lim Δx->0 for (f(4+Δx)-f(4))/Δx
and
f(x)=x3+2x2+3x+2025
67
:)
What was the tallest Mountain in the world before Mount Everest was discovered?
find the derivative of
(3x+2)(9x2-6x+4)
81x2
Find the slope of f(x) at x = 1.4 if
f(x)=x3+2+x4-1+2x0+1+17
27.088
TRIPLE JEOPARDY
What is the name, units, and possible use of the anti-derivative of displacement?
Points will be awarded and taken away for each part of the question you answer.
Absement/m*s/Answers vary
simplify this limit if
Lim Δx->0 for (f(1+Δx)-f(1))/Δx
and
f(x)=0(x4)(4x2+3x+2)
0
A man enters a town on a horse named Friday on the first day of the week, Sunday. He stays there for three more days until he finally leaves on a horse named Sunday. The horse named Friday left at noon on Wednesday the day; ahead of the man at a speed of 2 m/s. If the horse named Sunday moves at a speed of 5 m/s, and Sunday and the man leave at 1 PM on the day Wednesday, at what time does Sunday catch up to Friday?
1:40 P.M.