Excel in math, science, and engineering

Three circles of equal radius all intersect one another at the center of the bigger circle with twice the radius, and then the lines are drawn from the intersecting points ...

You start at the point \((x,y,z) = (1,1,1)\) in a Cartesian coordinate system, at time \(t=0\). If we consider time to be a fourth dimension, we ...

The diagram shows a large triangle with a green side of length 10, an orange side of length 17, and inradius 3.5.

At the point of tangency of the ...

Two points are selected at random in the interval \(0\le x\le1\). Determine the probability that the sum of their squares is less than 1.

\[A=\begin{pmatrix} 1 & 23 & \cdots & 5700 \\ 3 & 273 & \cdots & 7801 \\ \vdots & \vdots & \ddots & \vdots \\ 578 & 2061 & \cdots & 1000^2 \end{pmatrix}\]

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