Given 2822. Identify the postulate or theorem that proves that r || s.

Q: 10 Sx³ex¹⁰dx= (Type an exact answer.)

A: Given integral is as follows

Q: Let Z∼N(0,1). Find P(-2<Z<1).

A: From the provided information,Z~N (0, 1)The probability P (-2&lt;Z&lt;1) need to be calculated.

Q: Suppose the set of natural numbers is constructed by the constant 0 and the successor function s.…

A:

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…

Q: .18 Let x, a and 8 be real numbers. Show that the statements |x-al < 8 and a -8 < x < a +8 are…

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Q: h9HXth*x f3.1) he mt itextsS St ,2)

A: Given:

Q: Prove the following:  If a <b, then -b < -a

A:

Q: Prove Proposition 3.4. A monotone function that is defined on an interval is measurable.

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Q: Suppose that x is a real number and that UCR. Prove that the following two conditions are…

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Q: Show that ACB implies |A|≤|B|.

A:

Q: prove for every positive real number x that 1+1/x2>=1/x+1/x3.

A: To prove: 1+1x2≥1x+1x3; for everypositive real number x.

Q: 5 Find the least common denominator of X 11 and 4 8x+5' X 3

A:

Q: Q3 (Recall the notation: For any set S CR and any k eR, kS = {ks : sE S}.) (a) Someone has claimed…

A: We will use the fact that the set of integers is countable and every subset of a countable set is…

Q: Prove or disprove the following statement: "For all real numbers x, y, [xy] = [x][y]." (3 marks)

A: Introduction: Two important functions are frequently used in mathematics and computer programming.…