Suppose that 0< fn < In on X for all n e N. If gn 30 on X, then fn 30 on X.

Q: 27. Let f(x)= [x²/3]. Find /(S) if a) S-2, 1, 0, 1, 2, 3). b) S= (0, 1, 2, 3, 4, 5). c) S = (1,5. 7.…

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Q: State if the following is discrete or continuous. "Amount of blood in a human body." O Continuous O…

A: A discrete variable is one whose value may be determined by counting. A continuous variable is one…

Q: A on S is a function from S×S into S.

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Q: 4

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Q: 2. Prove that if f be a nonnegative measurable function on E. Then f = 0 if and only if f =0 a.e. on…

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Q: f(x+h)-f(x) 2. Evaluate h If a. G) f(Vx) b.

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Q: 4.1 Suppose that fig and g'are continuous on the interval 1= {x :asxs b). Show that a ) exists, and…

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Q: Let nEN be n >2. Determine all entire functions f that satisfy f(z") = \f{z)l" for all z EC.

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Q: 2. An entire function f: CC is said to be exponetial tupe if there are constant c.> o and Cz > o…

A: To establish the equivalence of conditions on the entire functions f and f'

Q: Show that for all x E (0, 00) we have In(x) <x – 1. Also, graph the functions In(x) and a - 1…

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Q: If f is continuous on the interval [5, 12] and f(5) = 7 and f(12) = -2, then f must have at least…

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Q: If X is continuous on the interval 0 to 10, t O True False

A: For a continuous distribution, and there exist infinite points.

Q: - Expand f(x) = ;-X<XLO ~) = { ² }); ; OLXLX in F.S.

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Q: Suppose that f is continuous. 7 10 Find | f(x)dæ if | f(x)dæ = 10 and | f(x)dx = 13. 10 23 -23 O - 3…

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Q: Find the limit as x approaches -1 for O-1/2 O 1/2 O-1 01 x+2 -1 x+1

A: Concept: L'Hospital's Rule: A general technique for assessing indeterminate forms like 0/0 or ∞/∞ is…

Q: Let X~N(10,9). Find P(X < 15.88).

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