Calculus Life
Derivatives
Integrals
Mathematicians
Name that Theorem
100
Team Calc watch your.....
Asymptote
100
What is the definition of a derivative?
f'(x)= lim h-> 0 (f(x+h)-f(x))/h
100
Area under the curve x^2 + 3x from 0 to 12
792
100
Who created the bell-shaped curve originally known as the "turning curve"? This person also wrote the fist text on differential and Integral calculus and infinite series.
Maria Agnesi
100
If y=f(u) is differentiable at the point u=g(x), and g is at x, then the composite function (f o g)(x)=f(g(x)) is differentiable at x, and (f o g)(x)=f'(g(x)) times g'(x) OR dy/dx=dy/du times du/dx Where dy/du is evaluated at u=g(x)
Chain Rule
200
What were tests previously known as?
Festival of Learning
200
2x is f' of what?
x^2 + C
200
Find the area between the two curves y=|(x^2)-4| y=((x^2)/2)+4
21 1/3
200
Who contributed the differential idea which states an infinitely small number almost zero can act as a denominator to a fraction?
Gottfried Wilhelm Leibnitz
200
If f is continuous on [a,b], then the function F(x)= the integral from a to x at every point in [a,b]
The Fundemental Theorems of Calculus Part I
300
What happens on Friday?
Doughnut Runs!
300
10x^3 + cosx is f' of what?
(10/4)x^4 + sinx + C
300
Find the area between the two curves (x^2)-2=y y=2
10 2/3
300
Who contributed the dynamic approach to tangency invented in 1629?
Pierre de Fermat
300
Which Theorem states that if a and b are any two points in an interval on which f is differentiable, then f' takes on every value between f'(a) and f'(b)?
Intermediate Value Theorem for Derivatives
400
How were the math tests often described in terms of difficulty?
Simple Pimple
400
What is f' of x^2e^x - xe^x
(x^2)(e^x) + (e^x)x - e^x
400
Find the volume when rotated around the x axis y=x^2 + 1 y=x + 3
117π/5
400
Who uses the change of slope of a curve to help cardiac patients?
Lupe Bolding
400
What are the Quotient and Product Rules?
Quotient Rule: d/dx(u/v)=v(du/dx)-u(dv/dx)/v^2 Product Rule: d/dx(uv)=u(dv/dx)+v(du/dx)
500
On a scale of 9-10 how attractive is your 3rd period teacher, and what is his name?
10 Steve Sears
500
s(t) = 3x^2 + 4x^12 + cosxtanx + 7 What is the acceleration?
a(t)= 6+528x^10 + 2cosxsec(x)^2tanx - 2sec(x)^2sinx + tanxcosx
500
You have been asked to design a brass plumb bob that will weigh in the neighborhood of 190g. The shape of the curve is y=(x/12) square root of (36-x^2) Rotate around the x axis A) Find the plumb bob's volume. B) If you specify a brass that weighs 8.5 g/cm^3, how much will the plumb bob weigh to the nearest gram?
A) 36π/5 B) 192.3g
500
Who did a calculation in his head to settle an argument between students whose computations differed in the fifteenth decimal place?
Leonhard Euler
500
What is the Trapezoidal Rule?
T=h/2(y0+2y1+2y2+...+2y(n-1)+yn)
M
e
n
u