Calc Quiz Error Bound Formulas
0.0(0)
Studied by 1 person0.0(0)
Call with Kai
Learn
Practice Test
Spaced Repetition
Match
Flashcards
Knowt PlayCard Sorting
1/9
There's no tags or description
Looks like no tags are added yet.
Study Analytics
Name | Mastery | Learn | Test | Matching | Spaced | Call with Kai |
|---|
No study sessions yet.
10 Terms
1
New cards
Midpoint Error Bound
|E?| <= (k(b-a)³)/(24*n²)
|E?| = f’’(x)
2
New cards
Trapezoidal Error Bound
|E?| <= (k(b-a)³)/(12*n²)
|E?| = f’’(x)
3
New cards
Simpsons Error Bound
|E?| <= (k(b-a)^5)/(180*n^4)
|E?| = f^4(x)
4
New cards
Left Endpoint
deltax[f(start)+…+f(n-1)]
5
New cards
Right Endpoint
deltax[f(start+1)+…+f(n)]
6
New cards
Midpoint
deltax[f(midpoints)+…+f(midpoints)]
7
New cards
Trapezoid Rule
(deltax/2)*[f(start) + 2f(start + 1) + …+ 2f(n-1) + f(n)]
8
New cards
Simpsons Rule
(deltax/3)*[f(start) + 4f(start+1) + 2f(start+2) + … +2f(n-2) + 4f(n-1) + f(n)]
9
New cards
Length of curve
sqrt(1 + (y’)²)
10
New cards
Area of curve
y = 2pi intergal(r * arclen) dx
r = y
arclen = sqrt(1 + (y’)²)
Note 
Flashcards (28)