Evaluate
0.0006161403
Factor
\frac{3 \cdot 379 \cdot 5419}{2 ^ {10} \cdot 5 ^ {10}} = 0.0006161403
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\left(-0.01499\right)^{2}+2\left(0.1-0.11399\right)^{2}
Subtract 0.11399 from 0.099 to get -0.01499.
0.0002247001+2\left(0.1-0.11399\right)^{2}
Calculate -0.01499 to the power of 2 and get 0.0002247001.
0.0002247001+2\left(-0.01399\right)^{2}
Subtract 0.11399 from 0.1 to get -0.01399.
0.0002247001+2\times 0.0001957201
Calculate -0.01399 to the power of 2 and get 0.0001957201.
0.0002247001+0.0003914402
Multiply 2 and 0.0001957201 to get 0.0003914402.
0.0006161403
Add 0.0002247001 and 0.0003914402 to get 0.0006161403.
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}