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Mathematics 2013 CDS Elementary Mathematics 2013 CDS 2013

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What is the maximum value of sin 2x · cos 2x?

If x = e^t cos t and y = e^t sin t, then what is…

What is the derivative ofsin(ln x) + cos(ln x)with respect to x at x =…

If x + y = 20 and P = xy, then what is the maximum…

What is∫ dx / sec²(tan⁻¹ x)equal to?