Functions and Polynomials
If a positive number is 12 smaller than its square, this is its cube.
What is 64?
This is a discrete exponential function.
What is a geometric sequence?
These are the domain and range of the square root function, respectively.
What are [0,∞] and [0,∞]?
If the angle of elevation is 36o, this is the angle of depression.
What is 36o?
This is the technical term for the position of a term in the sequence or which sum from the series.
What is the Index?
If one of the solutions to a quadratic equation is
7 + 2i, then this is the other solution.
What is 7 - 2i?
This is the base of a natural logarithm.
What is Euler's number (e)?
This is the term that describes the shape of the curve of y = 1/x.
What is a hyperbola?
This is the definition of a circle.
What is the set of all points on a plane equidistant from the center?
Prim's algorithm is helpful for finding this from a graph.
What is a Minimum Spanning Tree?
This is the vertex of y = 2x2 - 10x + 7.
What is (2.5,-5.5)?
Or, what is (5/2,-11/2)?
This is the solution to log3(2x+1) = 4.
What is x = 40?
This is the equation of the horizontal asymptote of the following rational function:
y = (3x + 1) (2x - 1) (x + 5) (x - 7)
x (5x - 2) (x + 4) (x-9)
What is y = 6/5?
What is y = 1.2?
If the bearing of B from A is 25o, then this is the bearing of A from B.
What is 205o?
This is the term for the number of edges adjacent to and directed toward a specific vertex.
What is the Indegree?
What are one-to-one and onto?
Or, what are injective and surjective?
This is the solution to 4 * 52x - 6 + 7 = 27.
What is 3.5?
This is the solution to
8 √ (4x - 3) - 18 = 22.
What is 7?
If the height, in feet, over time, in minutes, of a car on a Ferris Wheel is modeled by the equation:
h(t) = -50 cos(52.6t)+52,
this is the height of the car after 100 seconds.
What is 90.3 feet?
If the second term of a geometric sequence is 5/54 and the fifth term of it is 625/11,664, this is the value of the sequence's infinite series.
S = 2/3
If an object is thrown into the air with an initial upward speed of 73 ft/s from a place 20 feet high, then this is how long it will take until it hits the ground.
What is 4.82 seconds?
If the half-life of an element is 200 years, this is how long it will take 5mg of it to reduce to 1 mg.
What is 464.4 years?
If a given boat can travel 2 miles upstream in the amount of time it takes it to travel 5 miles downstream and is capable of traveling 35 mph in still water, then this is the speed of the current.
What is 15 mph?
If the height of the water, in feet, in a harbor based on hours in the day, starting at midnight, is modeled by the equation
h(t) = 20 cos(30t) + 5,
this is the time when the height first becomes 20 feet.
What is 3:29am?
This is the only possible infinite arithmetic series that does not diverge.
an = 0
0, 0, 0, 0, ...