Let A = {x€N: 2 ≤ x < 12} and B = {x € N : x is even}. a. Find An B. b. Find A B.

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A: As per our guideline, we are supposed to solve only first three subpart. Kindly repost other subpart…

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Q: Solve the problem. Find the general solution of the simple homogeneous "system" below, which…

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Q: 25. Given that f(x)=x-5 and g(x) = x² +1, then (gof)(x) is: 0x²-4 x²-24 Ox²-10x-24 Ox²10x+26

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Q: ut uxx + 3u = u(0,t) = u(n, t) = 0 (Do NOT show the details of finding the eigenvalues and the…

A: This is a problem of partial differential equation.

Q: 6. Use the following information to answer the next question Two functions are shown. y = f(z) is…

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A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

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Q: Use induction to prove: for any integer n ≥ 1,(6-4)= 3n² - n. Base case n = Inductive step Assume…

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Q: Determine the inverse Laplace transform of the function below. 4s + 28 s² +6s+25 Click here to view…

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Q: 13. ZILLDIFFEQMODAP11 7.R.015. Fill in the blank. (Enter your answer in terms of t.) 1 ^{-} [ =…

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Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

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Q: c) Let T: Rn → Rm be a linear transformation given by T(x) = A(x). 3 2 0 619) ). 0 0 0 A = 0 1 i)…

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Q: Use the Laplace transform to solve the given initial-value problem. y" - 3y' = 4e2t - 2e-t, y(0) =…

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Q: Integrate the given function over the given surface. √√3 G(x,y,z) = z over the parabolic cylinder y…

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Q: 5. Show that there is a bijection between R-Z and (-1, 1) U (10, 100).

A: We have to show that there is a bijection between ℝ-ℤ and -1, 1∪10, 100

Q: Given the following matrices: X 2 -3 5 1 -2 -4 5 6 0 5 7 4 Show that (XYZ) = ZTYTXT Y = -3 6 2 6 -4…

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Q: Determine the volume V and total surface area A of the solid generated by revolving the area shown…

A: Cross section area (A) = π2(R)2 + μ*2R A = π2(53)2 + 38*2*53A = 4410.13 + 4028A = 8438.13 mm2

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: Find the eigenvalues A₁ < A₂ < A3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix 4…

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Q: 3. Use the above theorem to prove that if p E N is a prime number such that p = 1 mod 4, then p is…

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Q: Question 28 Which of the following statements is (are) true if all vectors are in R"? d) If W is a…

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Q: ulate lim m-700 Σ' · 4 n. 4n

A: Given series limn→∞∑i=1ni.4in.4n

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A: Given that,  The standard deviation =8%, Marks of Henry's =85%, and z-score =1.30.

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A: We have to find the exact sum of given series.

Q: Use de Moivre’s formula to find the Cartesian form of the complex number  (-2 + 2√3i)7

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Q: 3. The linear system has the following direction field. 5 Figure 3: direction field for the system…

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Q: CODAP11 7.2.038.EP. Consider the following initial-value problem. y' - y = 2 cos(6t), y(0) = 0 Find…

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Q: 00 n=0 -0 कुर n!

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Q: Find the dimensions of the null space and the column space of the given matrix. 1 5 130 -2 -4 -5 -4…

A: We need to determine he dimensions of the null space and the column space of the matrix: 15130…

Q: A person can order a new car with a choice of 6 possible​ colors, with or without air​ conditioning,…

A: Solution :-

Q: A bungee jumper leaps from a bridge. Velocity is determined by the given differential equation. dv…

A: Given the differential equation is dvdt=g-cDmv2 and   g=9.81 m/s2m=45 kgcD=0.16 kg/m∆t=2.1t0=0, v0=0

Q: Determine whether the equation is exact. If it is, then solve it. [ 6y cos (xy) + д ду 7 For the…

A: I have given the answer in the next step. Hope you understand that

Q: The matrix has three distinct real eigenvalues if and only if 0 <k < 427 1 1 07 A 0 1 1 k 0 0

A: Given matrix A=110011k00 The matrix has 3 distinct real eigen values. We already have characteristic…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: If P (B) = ³, P(Ãn B n C) = and P(A n B n C) = 3, then P(B n C) is O 1/12 O 1/4 5/12 O 3/4

A: I have given the answer in the next step. Hope you understand that

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A: If area of the cross section in the xy plane (a ≤ x ≤ b )perpendicular to the x-axis is A (x)  Then…

Q: Let A and B be two events such that P(A/B) = P(B/A) = and P(An B) = 1/ 1 Then P(AUB) = 2/3 3/4 1/3 O…

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Q: Integrate the given function over the given surface. √√3 G(x,y,z) = z over the parabolic cylinder…

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Q: Compute the gross income, adjusted gross income, and taxable income in the following situation. Use…

A: Total wages earned = $61800 Amount earned from Interest = $260 Therefore gross income =…

Q: 8. Consider the IVP y"" = t+y², y(0) = 1, y'(0) = 1, y"(0) = -1. Use Euler's method with step size h…

A: Given that :  IVPy"'=t+y2 ,y(0)=1,y"'(0)=1, y"(0)=1 h=.5  To Find : estimate the value of y(2)

Q: Describe geometrically the effect of the transformation T. To o o Let A = 0 1 0 0 0 1 Define a…

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Q: (D² + 5D² + 4)y=0

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Answer the following questions on Error. If 1.11 was approximated by 1.09, then Q1- a) Find the…

A: I will solve first 5 subparts if you want more solution then repost it with mention which part to…

Q: a certain high school will conduct it's annual sports intramurals.there are 10 participating teams…

A: Let us have 10 teams A,B,C,D,E,F,G,H,I,J Number of rounds is 3. Now, number of games is 10-1=9…