85,75,85,70,65,60,85
Sort
60,65,70,75,85,85,85
Evaluate
85,75,85,70,65,60,85
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85
To sort the list, start from a single element 85.
75,85
Insert 75 to the appropriate location in the new list.
75,85,85
Insert 85 to the appropriate location in the new list.
70,75,85,85
Insert 70 to the appropriate location in the new list.
65,70,75,85,85
Insert 65 to the appropriate location in the new list.
60,65,70,75,85,85
Insert 60 to the appropriate location in the new list.
60,65,70,75,85,85,85
Insert 85 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}