For the following claim Below you must disprove it. "For all integers x, x^2 + 1 is odd" Use the oddx = 2k+1 rule as well

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: To show the representation of an even integers is 2k and that for odd integer is 2k+1 or 2k-1 by…

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: 5x+5 2x-20x+18 x²-8x-9 3.

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Q: Show that for every integer n, n³ + 2 is not divisible by 4.

A: Here, we use rules of divisibility.

Q: Find a formula for 1/2+1/4+1/8+.+ 1/2h by examining the values of this expression for small values…

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Q: Let A = -7 -7 08 Find - 3A. -3A =

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Q: 1 Which of the following expressions is equivalent to - x+3 1 -(r+2) x+3 -3 x+3 -3 x(x+3) ¤(x+3)…

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Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

Q: What would be the degrees of freedom for a chi-square table that has an independent variable with 2…

A: Here given that independent variable with 2 groups and a dependent variable with 2 groups.

Q: Let B(x) `x is not beautiful", V(x): `x is not a village in Lebanon.", and domain of x be dll…

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Q: The following statement is true. V real number x, 3 an integer n such that n > x. For each value of…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.

A: integer  which have 2 as one of their factors are called even numbers. The integer  which do not…

Q: Evaluate J, Jo xdzdxdy

A: Given: ∫06∫012-12y∫013(12-2y-x)xdzdxdy

Q: Show by contraposition that : Vx ERX2-3x - 1020 → x25 or x< - 2

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Q: (6.1) Prove if r is a positive, even integer then 10* – 1 is divisible by 11. (6.2) Prove if r is a…

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Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Express the following statement using N-notation.: 12 (3x + 4) for all real numbers x > 2. x + 2

A: Consider the given statement.

Q: Suppose that |u xv = 7. Find ||(5u + 6v) × (3u - 9v)||-

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Q: so-Z of what is 21

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Q: Prove the following: There exist no integers a and b for which 14a + 4b = 1. Please explain the…

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Q: (b) If a, b and c are integers such that b| a and b| c, then b | (2a – 3c).

A: We have to proof

Q: given 7(x-1)=2(3x+2) prove x=11

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Q: The domain of x2 - 3x -10) is:

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Q: Write a short proof of the following and give a counterexample If n is an integer, then 2n + 1 is…

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Q: Compute each of the following. (2bdm from 5.4) a) (12) (1253) b) (1423) (34) (56)(1324) c) (12)-¹

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Q: Evaluate each of the following for x = 5, 7, 9 and 2. ∑x2 ∑x2 – 5  ∑(x2−5) 2∑x2- 5  2(∑x2- 5) 2)

A: Given:   X = 5, 7, 9, and 2.

Q: Theorem: The sum of any even integer and any odd integer is odd. Construct a proof for the theorem…

A: We have to prove the theorem by scrambling the given statements.

Q: 2. Suppose that f(n) = f(n/3) + 1 when n is a positive integer divisible by 3, and f(1) = 1. Find a)…

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Q: None

A: Step 1: Step 2: Step 3: Step 4:

Q: 1. Can you reduce this expression?  (x2 + 3x)/ (2x - 1) 2. Aren't there math symbols available on…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.