45,67,48,46,48,76
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45,46,48,48,67,76
Evaluate
45,67,48,46,48,76
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45
To sort the list, start from a single element 45.
45,67
Insert 67 to the appropriate location in the new list.
45,48,67
Insert 48 to the appropriate location in the new list.
45,46,48,67
Insert 46 to the appropriate location in the new list.
45,46,48,48,67
Insert 48 to the appropriate location in the new list.
45,46,48,48,67,76
Insert 76 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}