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In the \(xy\) plane, the coordinates of a moving point are as specified below:

\[x = \cos(\sin(t))\hspace{1cm}y=\sin(\sin(t))\]

If \(t\) denotes time, determine the ...

Use any summation method which is linear and stable, find the sum of all the positive Fibonacci numbers,

\[1+1+2+3+5+8+\cdots.\]

Give your answer to 1 ...

Let \(a\) and \(b\) be positive real numbers such that \(a+b=1\). Find the maximum value of \({ a }^{ b }{ b }^{ a }+{ a }^{ a }{ b }^{ b }\).

The value of shares of Precision Tangent Engineering has increased with respect to time and they are related by the equation \(y=4x^{3}-8x^{2}+10\). Find the approximate ...

How many integers between 1 and 1,000,000 inclusive have a sum of digits of 13?

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