Misc.
Exponential Derivatives
Random
Growth & Decay
Risk It
DRV
100
Find the first derivative of..
y=e5
y'=0
100
Find the first derivative of..
y= ex
y'= ex
100
Do stars on Australian national flag have same number of points? How many points?
No, five stars have 7 points and on star has points.
100
What is the general exponential growth and decay model?
Q(t)= Q0ekt
100
paper scissors rock - winner gets the prize
lose 200 points
100
30 sec
Describe the definition of DRV
Variables which may take on only a countable number of distinct values.(only take on a finite number of values )Must mention distinct or finite.
200
Find the first derivative of..
y=e-2x
y' = -2e-2x
200
Find the first derivative of..
y=4e2x-2
y' = 8e2x-2
200
Which country hosted the Women world cup in 2023?
Australia
200
How would you know the difference between a growth and a decay model? Be specific.
Growth is an increase in the population, while decay is a decrease. Specifically, if the k value is positive, we have growth, but if the k value is negative we have decay.
200
was it worth the risk?
give another team the 200
200
Give at least two examples of uniform DRV. 30 sec
Rolling a die, flip a coin, number of min waiting for the bus, randomly generating a digit...
300
The slope of the normal line to the curve y= (2x2) + 1 at (1,3) is
What is -1/4 ?
300
Find the first derivative of..
y= e-5x - ex
y' = -5e-5x - ex
300
How old was the youngest professional soccer player?
12
300
Nobelium has a half-life of 25 seconds. A sample contains 500 grams of Nobelium. How much Nobelium will remain after just 10 seconds?
y= 379.0272 grams
300
roll a die
even: win 400
odd: lose 400
If it is a six, whole team needs to do 10 star jumps.
300
Cost 1 dollar to spin the wheel. 1(nothing). 2(win $1.5). 3(win $3). What is the expected winning prize? 2min
$1
400
Find the slope of f(x)= (5/x3) - 3(x2)- (1/x) at x = -1
What is -8?
400
30 sec
Find the first derivative of..
y=2x4e-3x
y' = 8x3e-3x - 6x4e-3x
400
What do the rings in the Olympics represent?
The Continents that Participate
400
Find the exponential growth model for a population of fruit flies for which there are 25 flies initially and 400 flies after 4 days.
How fast is the population of fruit flies growing in exactly 4 days?
y = 25e0.6931t is the model.
Approximately 6,930 flies per day.
400
roll a die twice
1. roll a double and get double
2. roll 2 odds and lose.
400
k=? E(x)=?
3min
k=4/5; E(x)=2.1
500
Find the derivative of: y =
(-3(3x - 2x^2))/(7x)
What is: y'=
6/7
500
30 sec
What is the antiderivative of 
Forgot +C? 10 push ups
500
How many dimples does an average golf ball have?
336
500
Nobelium has a half-life of 25 seconds. A sample contains 500 grams of Nobelium. How much Nobelium will remain after 1 minute?
y=94.8795 grams
500
Do push-up competition with Mr Kang
Winner: reward win 500
500
k=? 3min
k=48
600
f(x) = 8x3 + 81x2 - 42x - 8 has horizontal tangent lines at these points.
What is x = -7 and x = 1/4?
600
30 sec
600
The fear of long words is called?
hippopotomonstrosesquippedaliophobia
or Spell Miss K's last name
600
The second derivative of
e^(2x)
What is
4e^(2x)
600
being too risky?
lose 600
600
4min
q=0.3; p=0.2