et A and B be any given sets. Use set builder notation d logical equivalences to show that UB= An B.

Q: Let Zodd represent the set of odd integers, {... -5, -3, -1, 1, 3, 5, ...}. Determine if the system…

A: The given set is Zodd=. . . . . . -5, -3, -1, 1, 3, 5, . . . . . . . We have to determine  (i) Zodd,…

Q: The union of (possibly infinitely many) open intervals, each containing 0, must be again an open…

A: Given statment is True. Explanation Consider two open interval which including zero is A=( -5,6) and…

Q: A survey of 1,000 employees in a company revealed that 214 like rock music, 312 like pop music, 113…

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Q: aluate the sum, and write the result in (2-3i)+ (-6-(5)/(3)i)

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Q: Solve The following programming by The Simplex method Maximize subject to X1 X1 2x1 -X1 X1, 2x2 +…

A: We need to solve the following Linear Programming Problem using Simplex Method. MAX Z = x1 - 2x2 +…

Q: Find a formula for a function f that satisfies the following conditions. lim f(x) = 0, lim f(x) =…

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Q: 1. Evaluate the integral using integration by parts with the indicated choices of u and dv: a. [x ex…

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Q: For all a, b E Z, if a > 1 and b > 1, then gcd (2a,2b) = 2gcd(a, b).

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Q: Exercise 2: Proof by contradiction Prove the following statements using a proof by contradiction. 1.…

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Q: 4. (a) Prove that M(x, y) + N(x, y) = 0 can be made exact using an integrating factor that == f(x+y)…

A: To Do: (a) To Prove: Mx,y+Nx,ydydx=0 can be made exact using an integrating factor that depends only…

Q: 1) State the value of the limit, if it exists, from the given graph. b) lim g(x) c) lim g(x) x→0 a)…

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Q: For each of the following linear transformations of the plane IR", determine where the…

A: We know that,  Standard basis of R2 e1 = (1,0)  e2 = (0,1)

Q: √4-y²_xy 5. Given integral ²/2-²√²+² dx dy + √²₂ √√ +²√3 dx dy, do the following. (a). Sketch the…

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Q: 7. Let a₁ = ------- value) of his b in the plane spanned by a and b = For what and a₂?

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Q: 3. Estimate the area of the finite region between f(x) = − x and g(x) = by summing 8 the areas of n…

A: Solution:   To estimate the area between two functions, we can use the method of inscribed…

Q: the problem I'm looking at, they want the area between the curves y=(2x+16)/3, y=-2x+8, and y=x2.…

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Q: A = {5, 10, 14, -3, 11, a, b, y, z} B = {1, 3, 5, 7, 9, 11, u, v, w, x, y, z}…

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Q: (a) where n > 2. (²)(2)-(²) (-2) = n

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Q: Find the general solution for the following differential equation: ty' + y = 7t cos(t) y(t)

A: The differential equation is defined as an equation that contains the dependent variable,…

Q: Evaluate 172 esinxida using Groussian 3-point formula

A: Given integral ∫0π2esinxdx Gaussian 3-point formula ∫abf(x)dx=b-a259fx1+89fx2+59fx3 Where…

Q: 3. Solve the following ODE using two different methods. Reconcile your answers, if possible.…

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Q: Find L[f]for each f(t). Q) f(t)=e5t cos4t.

A: The given function is  ft=e5tcos4t We have to find the Laplace transformation of a given function.

Q: lim h→0 √7(a+h)-√7a h

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Q: 7. Let f(x)=2x-2 and g(x) = 1-2² a. Find the x-coordinates of the points of intersection of f(x) and…

A: Given curve equations are  fx = 2x-2  and  gx = 1-x2         (a)   For intersecting point we can…

Q: 2. Evaluate the Fourier transform G(k) of 9-{s. 0 g(x) b|x| a if |x| a

A: Given that  gx = b-bxaif  x <  a0if  x  > a              The Fourier transform of gx is given…

Q: Find ||u|| for the given vector. u = [1, √3, √2, 0] Give a unit vector in the direction of u.

A: We will find the norm that is magnitude and unit vector just by definition

Q: sketch the given function and determine whether it is piecewise continuous on[0,∞).

A: The given function ft=t, 0≤t<1, ft+1=ft. We have to sketch the piecewise function and determine…

Q: A tank has initially 10 lb of salt dissolved in 100 gal of water. A solution containing a variable…

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Q: How many ways are there to line up 7 people (including Aang and Korra) if Aang and Korra must be…

A: The permutation is defined as the mathematical calculation of the number of ways a particular set…

Q: Two construction companies, Giant and Sky, bid for the right to build in a field. The possible bids…

A: Note:  “Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: determine the inverse Laplace transform of the given function.

A: The given function is  Fs=1s2+4 We have to find the inverse Laplce transform of the given function.

Q: Leslie sprinted (6)/(10) of a lap and then took a break by jogging (2)/(10)of a lap. How much…

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Q: Each element in Z, except 0, has an inverse (Z,*) is commutative.

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Q: 1. Use Theorem 1 to solve the nonhomogeneous linear system *= B −1]×+(1) with the initial condition…

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Q: Find the extrema y = y(x) of J(y) = [' (y)² √/1 + (y^)²dx, _y(0)=1=y(1). e is a minimum or maximum?…

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Q: Evaluate the limit: x² 2 lim x→0 sin² (4x) ||

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Q: A. Which of the following Venn diagrams corresponds to (AUB) Cc? A UC B A B UC B. D. A B C A B UC

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Q: How many 4-element subsets containing the letter A can be formed from the set {A, B, C, D, E, F, G}?…

A: Number of 4 elements subsets containing the letter A from the set {A,B,C,D,E,F,G} is equivalent to…

Q: an = Solve the recurrence relation an = 1an-1 + 2an-2 with initial terms a = 1 and a₁ = 8.

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Q: nd the equation of the circle which touches both the axes and the straight line 4x+3y=6 in the first…

A: Since the circle touches both the axes and the straight line 4x+3y=6 in the first quadrant,the…

Q: 6. Solve y' + xy = x.

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Q: 1. f(x) = x² + 1 2. f(x) = x² - 2 3. f(x) = -3x² 4. f(x) = 3x²

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Q: Consider a function f: (0, 1) → (0, 1] defined as follows: Sx, if x {2": n N}, N and x = 2-". if n…

A: We see, by the given definition of f,         f(1/2) = f(2-1) = 21-1…

Q: Suppose the cost of a business property is $2,980,000 and a company depreciates it with the…

A: Given that the line representing the value as a function of years passes through the points…

Q: d²y dx² -y=xe*

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Q: A solid is generated by revolving the region bounded byy =√196-x² and y=0 about the y axis. A hole,…

A: To find diameter of the hole that is removed from the solid formed revolving the given curve and x…

Q: Find the amount due at the end of 9 months on a present value of Php24,600 at 12% discount interest.

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Q: Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to the line…

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Q: 4. Find the inverse of the following functions f(x) = log2 (x-3)-5.

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Q: Which of the following Venn diagrams corresponds to (AMB) - С? А. C. A B UC A / \ B А U с B. D. A B…

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