III. Prove the following using Indirect Proof. 10. If x3 is an even number, then x is an even number. 11. If 3x2 – 2x is even, then x is even.

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Q: Q3 Prove that In Coth x 1

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A: We have to check whether given statement is true or false.

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A: Write the terms one by one and add them.

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Q: Suppose X= N(10, 1.924)Pr(9.65 is less than or equal to X and X is less than or equal to 12.7)

A: Given a normal distribution with mean 10 and variance 1.924.the relationship between standard…

Q: 3. Let n and m be positive integers. Evaluate > (km+1 (k – 1)m+1) if possible. If not possible, k=1…

A: We have to evaluate the given summation.

Q: 4 eract p= 2 and the relahve errr If the soluhon less thah or -3 qual tHe apronimahin p. 10 fnd an…

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Q: III. Prove the following using Indirect Proof. 13. If 8 ł x in x? + 2x +1 = 3x? – 3x – 9, then x is…

A: The contradiction method comes under the method of proving a statement by the indirect method. In…

Q: 200 ra, is 25a 200 200 Let (1+ x+ x*) = Ïq,x and a = Ea, , then value of

A: We will use basic trics to arrive at the solution

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A: Consider that x is a random variable. From the formula of population variance;

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Q: 3. If the following two permutations P, and P,r-1 are equal, solve for r.

A: Given that, 5Pr   and   6Pr-1 are equal. And we have to find the value of r.

Q: 2. Let, a1 = 3 and for n > 2, an 2an-1+1, express an in terms of n.

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: A. Prove the following by contrapositive: 1. If x is an even integer, then x² is even. 2. If x is an…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 7. 7. Suppose X - N(u.4), which is true?( X- (A) N(0.1): (B) PIX S0} = 4 (C) PIX-u>2; =1-0(1): (D)…

A: Here we use the properties of normal distribution to solve this problem.

Q: 4) if n> 1, then (1+x)" > 1+nx for x E R+ (i.e. x is a non-negative real number). MATH151

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Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

A: Given  an = 5nn2-2

Q: O Fimd the that is boun ded between fe)= 2-x ond gla) = 4-x² ef Hhe regitn glo) = 4- x²

A: Toipc-Area under the curve

Q: 1. Which of the following properties completes the proof? Given: x - 6 = 4. Prove: x = 10 x-6=4…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Given: ∠1=∠2, ∠4=∠5 We know that in a triangle if two angles are equal then there corresponding…

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A: Introduction: The process of defining the similar qualities of two numbers and identifying the…

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Q: I. Prove the following assertions using a direct proof. a. If x is an odd integer, then x+5 is even.…

A: According to guidelines we can solve only 3 subpart.

Q: Construct a paragraph proof to prove the following: Given: y +2 = (x- 10) Prove: y =x-8

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Q: Suppose x and y are positive real numbers. If x< y, then x² < y².

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Q: Then k is equal to

A: We know that integration of density function over whole range of x, is always 1. We will use this…

Q: Show that yn ez, if n³+5 is odd then n is even For the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

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Q: Is the following statement true or flase? Select one: True False 5 [ 2 (xy) dydx = chỉ xdx xdy) 0 0

A: To check whether the statement is true or not. Given information; The statement is ∫05∫02xydy…

Q: 22. Given that AABC-ALMN. 11 5. x + 5 r + 4 10 3r + 3 22 M 3.r + 1 CLEAR ALL What is the length of…

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Q: Q2 1-The Euler's number (e) is a * rational number a. True b. False

A: Rational numbers are those which can be represented in the from of fraction and those which can not…

Q: 'ind integers s and t such that s · 35 +t · 78 = 1. Show your work.

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Q: II. Prove the following using Direct Proof. 6. If x is an odd number and y is even number, then x +…

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Q: Suppose me 2. Prove by both contrapositive and contradiction that if m2 + 2m +4 is odd, then m is…

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Q: (a) Given that x= In2 and y = In 5, (i) express In 50 in terms of x and y,

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Q: Suppose ỹ = cje (:)- + czetx () is the general solution to = Aj. What is A O We don't have enough…

A: Use given differential equation y' = A y to find it.

Q: 20. Find the value of z if ST is the midsegment of AEFG. Sr-2 %23

A: To find the value of x

Q: Let, a1 = 3 and for n > 2, an = 2an-1 +1, express an in terms of n. %3D

A: We will find out the required expression in the term of n.

Q: 17) wheat is dhe ra dius of covegone corvegence 3"n! (x-4)" Given い= 5" (url)!

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Q: suppose X=N(10, 1.924)Pr(X is less than or equal to 8.5)

A: Given a normal distribution with mean 10 and variance 1.924.the relationship between standard…

Q: 8. Prove 3n e R|n? – n < 0

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Q: Pos=x-3x+e xペx (x)3D

A: First convert into simplest form and then check for discontinuity by finding left and right limits…

Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

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Q: Suppose we want to prove the statement Vx E N, P(x) → Q(x + 1). Select the assumption we should make…

A: Assume that P(x) is true.

Q: (35 Show that the following grephes are Hameltonian 8) e a) d c) a ol

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Q: bunluate 1F) Hhe Line y Vorlally ) the real ans to 2 then to 217

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