2. (a) Let A = {x = [0, 1]: x has a decimal representation not containing the digit 5.} Show that A is measurable and find m(A). (b) Let B = {xn+y: x, y ≤ Q}. Show that B is measurable and find m(B).

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

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A: In statistics, the t-distribution is a probability distribution that arises in hypothesis testing…

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Q: VI. Let f(x)=x²-x²-x+1 on [-1,2]. Find all numbers c satisfying the conclusion to the Mean value…

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A: The graph is shown below:

Q: 5. Function fand g are defined by formulas as shown below. f(x) = x³ and g(x) = x- 1, for all real…

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