For each function below, determine whether or not the Extreme Value Theorem applies. In each case, state what the Extreme Value Theorem tells us. (Be careful...) (a) f(x)-x sin (x) on [0, π] (b) g(r)--2 -7x+4 on (-2,3) (c) h(x) = (x + 4)-, on [-1,5]

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A: (a)Consider the given geometric series:

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A: Consider the function:

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A: The power series representation for f(10x) is,  

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A: As a first step, let\'s rearrange the term. Please see the white board. 

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A: Given:The function 

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A: Please see the white board for derivative of y, expressed as y'

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A: We are given equations as 

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A:

Q: How can I get the result? Which is the result?

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A: The curve is given by ti+t2j+t3k.The formula to calculate the curvature of the curve is given by,

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A: The differentiation of the function with respect to t  as follows.