Let A=[−8.5,−1]A=[−8.5,−1] (that is, the interval of numbers including endpoints) and B=[−2,1]B=[−2,1] be subsets of ℝR. Evaluate the characteristic functions on the numbers shown below.

Q: for any integer a, show that gcd(2a+1,9a+4)=1.

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Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

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

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A: For, the bisection method , we have the formula:n≥log(b-a)-log εlog 2 ⇒n≥log (0-(-0.5))-log(…

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Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

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A: We have to calculate  and .

Q: The number ofunits in Z29[x] is 28 22 30 None

A: See the detailed solution below.

Q: Pex)=\X+14 aud hex)= x-1 state functions. following domains, of the following 4sing interval…

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Q: Evaluate the following commutators [Â, B] = ÂB – BÂ. Hint: use an arbitrary function that cancels at…

A: a x,PxPx=-ih∂∂xx,Pxφ=x,-ih∂∂xφ=-ihx∂φ∂x+ih∂∂xxφ=-ihx∂φ∂x+ih∂φ∂x+ihφ=ihφ∴x,Px=ih

Q: ƒ(x) = x³ + ac + (ab+c)x+ (a+b)x²

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A: Given that: f(x)=xr           and             g(x)=xs

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=&lt;3, -4, -10&gt; andv→=&lt;-7, -2,  0&gt;

Q: Show that Q[x]/⟨x 2 − 2⟩ ≅ Q[x]/⟨x 2 + 4x + 2⟩.

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Q: If U = {1, 3, 5, 7, 9, 11, 13), then which of the following are subsets of U. pick two three {5, 11,…

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Q: Let 1 2 3 1 A = | 6 -2 3 and I3 =| 0 1 5 4 1 If 2. is a real number, compute 2I3 – A.

A: A = 1236-23524 I3=100010001

Q: Part J only

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Q: Find the term of (a – 2b)3 that has b in it. |

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Q: Use Cramer's rule to find only the value of x2 , where a is a positive real number. 2x2 – x3 + x4 =…

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Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: - ₂ F₁ (-m. a + m;c; x) = +++(c + m) -r (c) dm [x²+m-¹ (1-x)²-c+m] m

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Q: Let x, y, and z be real numbers. Prove the following a. -(-x) = x b. (-x) * (y) = -(xy) and (-x) *…

A: I have provided detailed proof for each question in the Explanation section.Explanation:Let's go…

Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

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