2. (a) Assume that (a, b) is a bounded open interval in R. Using Mean Value Theorem, prove that if f: (a, b) → R is an unbounded differentiable function (i.e., for every M > 0 there exists x e (a, b) such that |f(x)| > M), then f' is also an unbounded function.

Q: snip

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.