Series
Its the largest value of p such that a p-series diverges
What is 1
The direction in which the parameterization
x=sin(t), y= cos(t) traces out a circle
What is clockwise
They are the two things required to determine the equation of a line in three dimensions
What are a point and a direction vector
It's a method for multiplying two vectors and obtaining a scalar
What is the dot product?
It's the room number we have class in
What is 222?
This series test is used when a series is equal to a real valued function that is continuous, positive, and decreasing on the tail
What is the Integral Test
This 21-point word in scrabble is the angle between the polar axis and a ray in the plane
What is the Azimuth
The only conic section with asymptotes
What is a hyperbola?
It's a way to find a vector perpendicular to a pair of given vectors
What is the cross product
It's 0! but it's not zero
What is 1
This series diverges, but Euler proved that when all the terms are squared that the sum converges to pi^2/6
What is the Harmonic Series
This mathematician almost discovered calculus, and the curve r = theta is named after him
Who is Archimedes?
This quadric surface resembles a popular snack
What is a hyperbolic paraboloid
The three letters that Hamilton carved into a bridge
What are i, j, and k
It's the best and most useful series test
What is the Ratio Test
It's the test you would try to apply upon seeing a product or a factorial
What is the Ratio Test
What is a rose curve
This quadric surface features three cross sections that are all the same conic section
What is an ellipsoid
The type of curve parameterized by the equations
x = t
y = cos(t)
z = sin (t)
What is a Helix
It's the worst topic in the calculus sequence
What is the Integral Test
It is the limit of the sequence of partial sums of a convergent geometric series
What is a/(1-r)
It's the formula for finding the area bounded by a polar curve
I'm not typing it, y'all can just say it
One of the eight divisions of three dimensional space
What is an Octant
It is the three dimensional figure whose volume is the scalar triple product of the vectors corresponding to it's side lengths
What is a Parallelepiped
It was the magic word on the syllabus
What is "Pecan Pie"?