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11. Determine the number 6 that satisfies Mean Value Theorem for Integrals for the function f(x) = 5x 6 on the interval [1. 3]. (Ans:

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11. Determine the number 6 that satisfies Mean Value Theorem for Integrals for the function f(x) = 5x 6 on the interval [1. 3]. (Ans: c = 2) 12.Find f: x2 2x dx using First Principles. (Ans: 18) Hint: ZELl 1 :11, EELIE : 7101244), XXL-11.2 : n(r1+1)6(2n+1) 13.Find b such that the function f(x) = 3x2 + 4x + 2 has an average value of 10 on the interval [0, b]. (Ans: b=2)

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