Ur in the Matrix Neo
Evaluate |b| if b=4i-3j
What is 5?
This conic section has the standard form equation (x-h)2/a2 - (y-k)2/b2=1
What is a hyperbola?
This amount in radians corresponds to 45°
What is 𝛑/4?
When converting to polar coordinates, we use this equation to calculate the value of r if we already know x and y
What is x2+y2=r2?
Evaluate limx->1[2x+1]
What is 3?
This is the general form equation of a sphere.
What is (x-h)2+(y-k)2+(z-l)2=r2?
The name of the technique used to rewrite equations of conics in standard form
What is completing the square?
It's the only quadrant on the unit circle where only tan(θ) is positive
This point in rectangular coordinates corresponds to the polar coordinate (5,180°)
What is (-5,0)?
limx->af(x) does not exist when...
The left and right-sided limits do not equal each other (or when f(x) approaches a vertical asympotote)
[Slide 1]
What is 2 x 1?
This determines if an ellipse is vertical or horizontal
What is the size of the a and b values?
This is the Double Angle identity for Sine
What is 2sin(θ)cos(θ)?
This process allows us to combine two parametric equations into one single equation, with one less variable.
What is eliminating the parameter?
If direct substitution of an x-value into a limit equals 0/0, we refer to it by this name, and must do more work (such as factoring) to find the limit
What is indeterminate form?
A matrix has no inverse if its determinant equals this
What is 0?
This equation helps you find the foci of a hyperbola
What is a2+b2=c2
The general solution to the equation tan(θ)=1 requires that this be added
What is 𝛑k? (or 180°k)
This is how we can determine when a projectile hits the ground given the parametric equation y(t)
Set y(t)=0
[Slide 3]
What is -3, ∞, and DNE?
If vector u=<3,-6> and v=<-8, -4>, then this is the angle between u and v
What is 90°?
What you call the distance between the vertex and the focus of a parabola, or the distance between the vertex and the directrix
What is the focal length?
This equation will help you find an unknown angle for any triangle if you only know the lengths of all three sides
What is the Law of Cosines: a2=b2+c2-2bc*cos(A)?
[Slide 2]
What is a positive gravity term?
[Slide 4]
The limit exists if the left and right-sided limit equal each other