2,5,9,11,18,30,42,48,71,7,81
Sort
2,5,7,9,11,18,30,42,48,71,81
Evaluate
2,5,9,11,18,30,42,48,71,7,81
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2
To sort the list, start from a single element 2.
2,5
Insert 5 to the appropriate location in the new list.
2,5,9
Insert 9 to the appropriate location in the new list.
2,5,9,11
Insert 11 to the appropriate location in the new list.
2,5,9,11,18
Insert 18 to the appropriate location in the new list.
2,5,9,11,18,30
Insert 30 to the appropriate location in the new list.
2,5,9,11,18,30,42
Insert 42 to the appropriate location in the new list.
2,5,9,11,18,30,42,48
Insert 48 to the appropriate location in the new list.
2,5,9,11,18,30,42,48,71
Insert 71 to the appropriate location in the new list.
2,5,7,9,11,18,30,42,48,71
Insert 7 to the appropriate location in the new list.
2,5,7,9,11,18,30,42,48,71,81
Insert 81 to the appropriate location in the new list.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}