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  3. 4 a let f g a b r be...

Question: 4 a let f g a b r be...

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4. (a) Let f, g: [a, b] → R be continuous functions such that g(x) 0 for all x E [a,a. Prove that there existsc a, b such that eb f(x)g(x)dx = f(c) | g(x)dr. Hint: some results from Section 1.5 of the notes will be useful. [4 (b) Using the result from part (a) find integers a, b, c and d such that CT
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