Limits
What value of f(x) do you approach as x approaches 3, for f(x)=3x+2?
8
What is the slope between the points (3,4) and (6,8) on the line y=2x?
m=2
How can you find the area of a triangle?
How can you find the area of a rectangle?
How can you find the area of a circle?
1/2 b h
bh
pi r^2
What is the name of my dog?
Milo!
How many states have I lived in?
3
What value of f(x) do you approach as x approaches 4, for f(x)=x^2-4?
12
dy/dx = 2x
2
What is the area between the x axis and the function y=x between x=0 and x=5?
25/2 units squared
What does my fianceé teach at Clemson?
Computer Science
How many towns have I lived in?
6 Total
NJ: 1, NH: 1, SC: 4
What value of g(x) do you approach as x approaches positive infinity, for g(x)=2x^2/(5x^2-6)?
2/5
Create a function with a derivative that equals 4?
4x+a
What is the area between the x axis and the function y=3x between x=0 and x=2?
6 units squared
Where and when did Mr. Risden teach before moving to South Carolina?
New Hampshire, 2013-2014
How many letters are in my full name?
16
What value of g(x) do you approach as x approaches zero from the right, for g(x)=1/x?
Limit does not exist (negative infinity)
g(x)=x^3 g'(x)=3x^2
h(x)=x^4 h'(x)=4x^3
j(x)=x^5 j'(x)=5x^4
What is k'(x) if k(x)=x^6?
6x^5
Determine the volume of the solid obtained by rotating the region bounded by the given curves about the given axis.
x=0, x=6, y=2, rotated about y=0
This would make a cylinder with radius=2 and height of 6.
pi r^2 h
pi*2^2*6
24pi units cubed
What is my favorite snack?
Chips Ahoy Chocolate Chip Cookies with Chocolate Milk
How many digits of pi do I know?
3.14159265358979
15 digits
What value of g(x) do you approach as x approaches zero from the left, for g(x)=1/x?
What is the derivative of a parabola at the maximum or minimum?
0
Determine the volume of the solid obtained by rotating the region bounded by the given curves about the given axis.
y=4, y=12, x=3, rotated about x=0
This would make a cylinder with radius=3 and height of 8.
pi r^2 h
pi*3^2*12
108pi units cubed
Who is my favorite superhero?
Batman
What is the 9th word of my favorite movie growing up?
"princess" from Shrek