Exponentials and Logarithms
Simplify the expression: log (base 2) 8
3
(sin x) / (cos x)
tan(x)
Simplify: (5x + 15) / (x + 3)
5
Convert 180 degrees to radians
When is our staff pool party?
August 5th from 6pm - 8pm
Solve: 25^(x-4)=5^3x+1)
x=-9
sin²x + cos²x
1
How do you find the Horizontal and Vertical Asymptote?
The degree for the Horizontal Asymptote.
The number that sets the denominator equal to zero for the Vertical Asymptote.
What degree corresponds to 3pi/2 on the unit circle?
270 degrees
Who is going to the Parent Night tonight?
Austin, Hirendira, Katie, McKay, Ben
If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, after how many hours will you reach approximately 5,850 bacteria?
3 hours
sin x (csc x - sec x)
1 - tan x
Solve: (x -2)/(x - 1) = x + 2
x = 0
What is sec(225deg)?
-sqrt(2)
Succulents, snowflakes, and lightning are examples of what math phenomena in nature?
Fractals!
What is the asymptote of the graph of f(x) = log(x - 1) ?
x=1
1 - cos²x
sin²x
Solve: ((3x + 6)/(x + 5)) / ((x + 2)/(x^2 - 25))
3(x - 5)
What is the reference angle for a 544 degree angle?
4 degrees
Pick a number. If it is even, divide it by 2. If it is odd, multiply it by 3 then add 1. Now repeat those steps again and again. What number will I always eventually get, no matter what number I've chosen?
1
Simplify ln e ^(3x)
3x
cos (-x)
cos(x)
What is the Vertical Asymptote of the function: (2x - 3)/(x - 4)?
Draw out a complete unit circle
Let's see how you did:)
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick door No. 1. The host, who knows what's behind the doors, then opens door No. 3, which reveals a goat. He then says to you, "Do you want to switch your choice?" What should you do?
You should always switch! The switching strategy has a 2/3 probability of winning the car, while the strategy that remains with the initial choice has only a 1/3 probability. (The Monte Hall Problem)