Formulas
Average Rate of Change
what is [f(b) - f(a)] / (b-a)
6345 + 52 = ___
6397
A branch of mathematics that deals with the study of rates of change and their applications
What is Calculus
What is the integral of 1 with respect to x
x + C
Integration by parts
what is int(u dv) = uv - int(v du)
704 - ____ = 697
A function that has an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.
Its has the ability to converge or diverge
What is a Taylor or Maclaurin Series
Name the first four non-zero digits to a sine series
x - (x^3)/3! + (x^5)/5! - (x^7)/7!
Total distance traveled in parametric equation
what is int_a^b sqrt(x'(t)^2 + y'(t)^2) dt
If you have $ 37 in twelve bills, what might the bills be?
1 $10, 4 $5, 7 $1
Isaac Newton and Gottfried Leibniz
Who invented Calculus
What is x2 + 1 differentiated with respect to y
0
Definition of a Derivative
what is lim a->0 [f(x+h) - f(x)]/h
Srt (841)
* this is an integer number
29
Egypt - they did so to calculate the volume of a pyramidal frustum
Where can Calculus first be traced from
Integrate:
âŤ(3x+11) / (x-3)(x+2)
4ln|xâ3|âln|x+2|+c
Arc length of function f(x)
what is L = int_a^b [1+f'(x)^2] dx
2^10
1024
Archimedes
Who was the first to find the tangent to a curve
integral âŤđĽđĄđđ^2(đĽ)đđĽ
Think Pythagorean identities!
đĽđĄđđ(đĽ) + đđ|đđđ (đĽ)| - đĽ^2/2 + đś