Why does function not contradict the mean value theorem
The function f is defined by f(x) = |x -1|. Sketch its graph. Observe that there is no value c such that f(3)-f(0) = f'(c)(3-0). Why does this not contradict the Mean Value Theorem?
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Prove that if f is differentiable at a and f(a) 6= 0, then |f| is also differentiable at a. Give an example to show why the assumption f(a) 6= 0 is necessary.
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Bruno Manufacturing Inc. has sales of $2,200,000 for the first quarter of 2010. In making the sales, the company incurred the following costs and expenses.
Taxpayer A earned $50,000 working as a carpenter during the year. Taxpayer B, also a carpenter by trade, worked the entire year renovating her house. Comment on the after-tax position of both carpenters.
A point charge of 1μC is located at x = -3.0cm, and a second point charge of -11μC is located at x = 4.0cm. Where should the third charge of 6.0μC be placed so that the electric field at x = 0 is zero?
The financial statement disclosure of only two industries when one industry has two businesses with different financial trends is misleading and needs revising.Authorities on goodwill.
Use the Mean Value Theorem to prove that at least one of us exceeded the speed limit, 100 km/h, by at least 10 km/h.
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