MATH 100 Flashcards
1
Q
Reimann Sum for i^3
A
((n(n+1))^2)/2
2
Q
Reimann Sum for i^2
A
(n(n+1)(2n+1))/6
3
Q
Reimann Sum for i
A
(n(n+1))/2
4
Q
f’(x) of arcsin
A
1/sqrt(1-x^2)
5
Q
f’(x) of arccos
A
-1/sqrt(1-x^2)
6
Q
f’(x) of arctan
A
1/(1+x^2)
7
Q
Formula for Newton’s Method
A
x2 = x1 - f(x1)/f ‘(x1)
8
Q
Taylor Polynomial
A
Approx around a point.
formula = [n^(sigma)^k=0] (f^ka)/k! (x-a)^k
9
Q
Mean Value Theorem
A
[f(b)-f(a)]/(b-a)
10
Q
Intermediate value Theorem
A
Finding the change in sign to determine one or more possible roots
11
Q
Rolle’s Theorem
A
12
Q
sinh(x)
A
(e^x-e^-x)/2
13
Q
cosh(x)
A
(e^x+e^x)/2
14
Q
Hyperbolic Identity
A
cosh^2-sinh^2 = 1
15
Q
d/dx coshx
A
sinhx
