What weighs more, a pound of feathers or a pound of bricks?
Neither! (They both weigh a pound)
What is the rule that states: for a limit of a quotient of two functions that results in an indeterminate form, the limit of the quotient is equal to the limit of the quotient of their derivatives
What is L'Hôpital's Rule?
Derivative of ex
What is ex?
Discovered a^2 + b^2 = c^2
Who is Pythagoras?
What is Dr. Lerohl's dog's name?
What is Mickey?
I add six to eleven and get five. How is this correct?
Adding 6 to 11 refers to adding hours on a clock. After 12, the count resets, so 11 + 6 = 5 o’clock.
The sum of two consecutive integers is sixty-five. Find the two numbers.
What are 32 and 33? (𝑥 + (𝑥 + 1) = 65)
Antiderivative of 1/x
What is ln(x) + C?
Discovered E = mc^2
Who is Albert Einstein?
Where did Dr. Lerohl go to undergraduate school?
What is UVA?
First 15 digits of pi
What is 3.14159265358979?
A basketball team played thirty-two games and won three times as many games as it lost. How many games did the team win?
What are 24 games? (x+y=32 -> x=3y, (3y)+y=32 -> y=8, x=3(8))
Add the coefficients of the derivative of:
(1/2)x4+(5/3)x3+x2+x
What is 9?
Discovered F = ma
Who is Issac Newton?
How many hats does Perry have?
What is 7?
In a local pond, there is a patch of lily pads. The patch doubles in size every day. If it takes exactly 48 days for the patch to cover the entire pond, how long does it take for the lily pads to cover half the pond?
What is 47 days?
On a farm, there are ducks and cows. If you count them up, there are exactly 7 heads and 18 legs in total. How many ducks are on the farm?
What is 5 ducks? (5 ducks and 2 cows, ducks have 2 legs & cows have 4, 5*2 + 2*4 = 18)
Find dy/dx for the equation x^2 + y^2 = 25
What is -x/y
German who discovered calculus
Gottfried Wilhelm Leibniz
How long has Dr. Lerohl been teaching at Bronx Science?
What is 12 years?
Multiply the number of thumbs that everyone in the world has.
What is 0? (because at least one person in the world doesn’t have thumbs)
The sum of three numbers is fifty-eight. The second number is four more than the first number and the third number is eight more than the second number. What are the numbers?
What are 14, 18, 26? (𝑥 + (𝑥 + 4) + ((𝑥 + 4) + 8) = 58)
Use Euler's Method with a step size of h = 0.5 to approximate y(1.5) for the differential equation dy/dx = x - y with the initial condition y(0) = 1.
What is y(1.5) = 0.75?
Introduced the symbol i, the imaginary unit (defined as i^2 = -1)
Who is Leonhard Euler?
Where was Dr. Lerohl born?
What is California?