Definitions
“There is a c between a and b so that the tangent slope is the same as the secant slope” is the conclusion of this theorem.
What is The Mean Value Theorem?
Discovered Calculus between 1665 & 1667 after his university closed due to an outbreak of the Plague
Who is Sir Isaac Newton?
What movie involves a robot compressing garbage into smaller cubes. In order to compress the cubes he used volume and surface area?
What is Wall-E?
Find the derivative of the function: g(x)= 3xsin^2x - x^2 cos x
What is x^1/2 (4-3x) /2(x^2 - 4x)^2
∫(4x3-8x+7)
x4-4x2+7x+C
This theorem can be used to show that a continuous function must have a zero on a specific interval.
What is the Intermediate Value Theorem?
Credited with discovering Calculus after Newton, introduced notations still used in Calculations today (dy/dx & the integral symbol), = symbol is attributed to him
Who is Gottfried Wilhelm Leibniz ?
This movie demonstrates the role mathematicians play in professional sports. A baseball manager has to organize a team on a low budget with the use of computer generated analysis to get new players.
What is moneyball?
Find the derivative of the function: y= 5 secxtanx
What is y'= 5 secx (2tan^2x+1) or y'= 5 secx (tan^2x +sec^2x)
∫((1)/(x2-x))dx
-lnx+lnx-1+C
This technique determines if a critical point is a relative extrema by checking the concavity at that point.
What is the Second Derivative Test?
Died at the age of 39 from tuberculosis Discovered definition of an integral Left Mathematica to follow the Riemann Hypothesis, which has yet to be solved
Who is Bernhard Riemann ?
An astronaut becomes stranded on mars and must use mathematics and mathematical reasoning to overcome challenges in order to survive.
What is the Martian?
y= (2x^2 +5) ^7
What is y'=28x(2x^2 +5)^6
∫((2x+16)/(x2+x-6))dx
-2ln(x+3)+4ln(x-2)+C
This technique generates the formula for exponential growth and is used to solve some differential equations.
What Separation of Variables?
Disliked by most of his contemporaries and even described as a narrow-minded bigot, first to prove the convergence of a Taylor series "_______ is mad and there is nothing that can be done about him, although, right now, he is th eonly one who knows how mathematics should be done"
Who is Augustin Lous Canchy ?
A teenager is sent 30 years into the past, with the help of a crazy scientist he must get back to the future. There are several references to probability, rates, statistics, and estimations.
What is Back to the future?
Find the derivative of the function: f(x)= 7 ^ 1/x
What is f(x)= -ln7*7^1/x / x^2
∫(x2ex)dx
x2ex-2xex-2ex+C
Let f be continuous on the closed interval [a, b] and differentiable on the open interval (a, b). If f(a) = f(b) then there is at least one number c in (a, b) such that f'(c)= 0
What is Rolle's theorem?
Had 13 children, and went blind for the last 17 years of his life! He published, on average, about 800 pages a year throughout his life. Invented symbols for pi and e "[Upon losing the use of his right eye,] Now I will have less distraction."
Who is Euler?
What is gifted?
Find the derivative of the function: y= arccos [x/3]
What is y'= -√9-x^2
∫(cot(x4))
-1/3cotx3+cotx+x+C