Limits/Continuity
lim_(x->0)(3sin(x)/(2x))
What is 3/2?
d/dx(x^4+5pi)
What is
4x^3
This is the second derivative of position.
What is acceleration?
This is the (x,y) coordinate where the slope of the function below is -3.
f(x)=x^2+5x-5
What is (-4,31)?
This is the number of states that border the Gulf of Mexico
What is 5?
lim_(x->infty)(3-1/x)((-5x^2+x+1)/(3x^2+10))(1+sin(x)/x)
What is -5?
d/dx(1/x^3+sqrt(x))
What is
-3x^-4+x^(-1/2)/2
A particle moves along a line with its position given by the function below. Position is measured in meters and time in seconds. This is the particle's velocity at t = 1.
s(t)=1/3*x^3-5x^2+21x+1
What is 12 m/s?
Find the equation of the line tangent to the function below at x=1
f(x)=x^3+4x-1
What is y-4=7(x-1)?
What is Beijing?
This coordinate fills the discontinuity in the function below
f(x)=(x^2-9x+14)/(x^2-2x-35)
What is (7,5/12)?
d/dx(x/(2x^2+1))
What is
(-2x^2+1)/(2x^2+1)^2
A particle moves along a line with its position given by the function below. Position is measured in meters and time in seconds. This is the particle's acceleration at t=50.
s(t)=1/3*x^3-5x^2+21x+1
What is 90 m/s^2?
Find the equation of the horizontal asymptotes of the function.
f(x)=(3x^3+5x+1)/(4x^4+3x^3+5x^2+6x+5)
The only element to begin with the letter K
What is Krypton?
lim_(x->-2)(x^2+4x-12)/(3x^2+2x-8)
What is DNE?
These are the four types of non differentiability.
What are corners, jumps, cusps, and discontinuities?
A particle moves along a line with its position given by the function below. Position is measured in meters and time in seconds. This is when the particle isn't moving.
s(t)=1/3*x^3-5x^2+21x+1
What is t=3 and t=7 seconds?
What are the equation(s) of the vertical asymptote(s) of this function
f(x)=(5x+6)/(6x^2-x-2)
What is x=2/3 and x=-1/2?
The ballet term for a full 360 degree turn on one foot.
What is pirouette?
This value of b makes the function continuous
f(x)={((x^2-7x+12)/(b(x-3)),,,x!=,3),(b,,,x=,3):}
What is b doesn't exist?
d/dx((3-x^2)(x+5)^7)
What is
-2x(x+5)^7+7(3-x^2)(x+5)^6
A particle moves along a line with its position given by the function below. Position is measured in meters and time in seconds. This is the interval on which the particles acceleration and velocity are negative.
s(t)=1/3*x^3-5x^2+21x+1
What is 5<t<7?
At what x-values does the function below have a slope of 1?
f(x)=-25/(x+1)
What is x=-6 and x=4?
She was the voice of Dory in Finding Nemo
Who is Ellen Degeneres?