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A circle is divided into four identical regions constructed out of overlapping quarter-circles and semicircles.

If the circumference of the circle is 120, then what is the perimeter of each ...

We know that \(\underbrace{4 \times 4 \times 4 \times 4}_{4 \text{ times}} = 4^4.\)

But how many \(4^4\) are there in the left side of the ...

We know that the function \(f(x)=e^x\) is injective on \(R\) and that its derivative is always positive at all points.

Is it true that any function whose ...

Note: The parallelogram has no special properties as of a rectangle or a rhombus.

Two circles with respective centers \(P\) and \(Q\) intersect with each other, as shown below. Line segment \(MN\) is parallel to \(PQ\) and goes through one of the intersection points ...

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