M Let g(x):= 0 if x = [0, 1] is rational and g(x) = 1/x if x = [0, 1] is irrational. Explain why 8 R[0, 1]. However, show that there exists a sequence (P) of tagged partitions of [a, b] such that ||P|| → 0 and lim, S(g; Pn) exists. 1

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A: The given function is

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A: Explained below

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A: f be defined in an open interval that contains a=3 and assume that all x,2x+6≤f(x)≤x2-4x+15

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A: The given function is: f(x)=2+kx, x≤15+3x, x&gt;1

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A: The given function is: f(x)=14+x  is defined on [1,∞).

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  here the degree of…

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A: Solution-

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A: Answer is below

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A: horizontal compression means horizontal stretch.

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Q: Suppose two function machines are hooked up in a sequence, so the output chute of machine g empties…

A: we given   f(x) =2x g(x) = x+6 F(x)= f( g(x) )

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A: we have given f(x).  We have to find f'(3)

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A: We have to find limit