let a and b be real numbers. Prove by contraposition that, if a + b is greater than or equal to 100, then a > 39 or b > 60

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A: This is a problem of optimization.

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: We can solve this by using area of a region bounded by given curve

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Q: Answer is 1/2 not 3/4

A: Given curves are y=cosx, y=sin2x, 0≤x≤π2The area of the enclosed region is determined as shown…