12. Let f20 and measurable over E. Let et [₁ E f = 0. Prove that f = 0 a.e. Hint: Consider {z € E : ƒ (2) > 0} = Ů { x € E : ƒ(x) > } } n=1 Inequality. and remember Chebychev's

Q: 2. Suppose that f is a measurable f m{TER: ¹({0 € Is f integrable? \ƒ(1)| ≥ r f(x)

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Q: 5. Find interval where the following functions is continuous. a). f(x) = Vr +1 b). f(t) = r+3 47-1

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Q: h(k) = V5 – k + Vk + 9

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Q: 3.22 If f e R[a, b], prove |f| € R[a, b]. (Hint: Use Exercises 3.20 and 3.21 above.)

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Q: 3. Let E be a set of mea E. Suppose that pi > P2 >

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Q: Find the value of a and b that will make the function continuous. for x 1/2

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