2. Suppose that f is an increasing function on the interval [a, b]. Let F(t) = %3D a.) Argue that if a < x* < b then f(a) < ƒ(x*) < f(b).

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Author:Erwin Kreyszig
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2. Suppose that f is an increasing function on the interval [a, b]. Let
F(t)
| f(x)dr.
a.) Argue that if a < x* < b then
f(a) < f(x*)< f(b).
b.) Prove that F is continuous over [a, b].
Transcribed Image Text:2. Suppose that f is an increasing function on the interval [a, b]. Let F(t) | f(x)dr. a.) Argue that if a < x* < b then f(a) < f(x*)< f(b). b.) Prove that F is continuous over [a, b].
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