Physics (Calculus Heavy)
This is the line integral over a closed curve C, of F dot product n ds, where F is a vector field and n is the normal vector.
What is flux?
This is the probability that you get four heads in a row when flipping a coin.
What is 1/16 or .0625?
This is the area of a rectangle with sides 29 and 31.
What is 899?
This is how many digits 10! has.
What is 7?
This is the cotangent of pi over 3.
What is the square root of 3 over 3?
There are this many ways to arrange 4 people out of ten where order matters.
What is 5040?
This is the name of the circle tangent to all three sides of a triangle.
What is the incircle?
This is the value of x^2+y^2 given x + y = 8 and xy = 12.
What is 40?
This is the smallest perfect number.
What is 6?
In the -y direction this is the coefficient of t^2 in ft/s^2 in free fall also known as Jared Goff’s jersey number.
What is 16?
This last digit of 67^76 and also may be the number of shots you have in Eminem’s Lose Yourself.
What is 1?
Let ABCD be cyclic, and angle A is 13 degrees. This is the value of angle C. (Hint: a cyclic quadrilateral has opposite angles that add up to 180 degrees.)
What is 167 degrees?
This is the value of k such that x^2+kx−6 is divisible by x-2
What is 1?
This famous mathematical constant is the limit of the ratio of consecutive Fibonacci numbers. What is the golden ratio?
What is the Golden Ratio?
Jared Goff has this many games above 50 points. It would also take light about this many seconds to travel 1.5 million kilometers in a vacuum.
What is 5?
The Detroit Lions head coach, Dan Campbell, has this many ways to choose 2 captains in a 53 man roster.
What is 1378?
In triangle ABC, AB=AC. Point D lies on BC, and AD is perpendicular to BC. If BD=6 and AB=10, this is the area of the triangle ABC.
What is 48?
This is the value of x^2 + 1 / x^2 given x + 1/x = 3.
What is 7?
This is the smallest number that can be written as a sum of two positive cubes in two different ways.
What is 1729?
With his new ability to fly, Jake Bates hovers 3 meters above the turf and kicks toward a crossbar of that same height, 40 meters downfield. Using g = 10 m/s² and ignoring air resistance, this is the minimum launch speed that clears the bar.
What is 20 m/s?
This is the number of diary of a wimpy kid books or the number of coin flips it would take to have more than a million different possible results.
What is 20?
Let ABC be a triangle with AB = 13, BC = 14, CA = 15. This is the area of ABC.
What is 84?
Find the remainder when 1! + 2! + … + 100! is divided by 12.
What is 9?
This number is defined as the limit as n goes to infinity of (1+67/n)^n.
What is e^67?