4. Let f(x)=2x4-5x² + 2x sin(x) *20 x < 0 (a) Prove f(x) is continuous everywhere. (b) Prove there is at least one root of f(x)=0 in (0,00).

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A: First we will plot the minimum, first quartile, median, third quartile, and maximum as shown below

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A: According to guidelines I can only solve first question ,rest can be reposted.

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A: Topic = Derivative Correct Option = C

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