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(19) Prove that if f is continuous on a, b , then there exists a number c in (a, b) such that f(x)dr = f(c)(b

(19) Prove that if f is continuous on a, b , then there exists a number c in (a, b) such that f(x)dr = f(c)(b -a). [5 marks] (20) Find the length of the following curves: r(t) =2sin ti + 5tj + 2 costk, -10

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