Prove the following set identities: (a) (AUB) nC = (ANC) U (BNC); (b) (AUB) - C= (A-C) U (B-C); (c) (n.) = UAF iEI iЄI

Q: The inverse Laplace transform of is btet, Enter b: Enter c: Enter w: -16 (s+8)² where b, c and w are…

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Q: Represent the following data by square diagram. Country Yield of rice in Kgs per acre U.S.A. 6400…

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Q: Let C denote the positively oriented circle |z - i| = 2. Evaluate the integrals: ΠΖ e" S dz 2 CZ +4

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Q: Using Secant method, for function f(x)=x²-105, [10,C], if the result of first iteration was:…

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Q: The rainfall in a town last year measured 31 inches. If the annual rainfall has a mean of 48.89…

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Q: Evaluate the following: d/dx lower limit interval 1 and upper limit interval sin(x) t^2 dt

A: We have to find the derivative of given integral.

Q: In a recent year, an author wrote 174 checks. Use the Poisson distribution to find the probability…

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Q: represent in simplest form : a2  + ab / a + b

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Q: Show that aj +2 aj ↑ 217 Since h> 2, therefore, the series is convergent.

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Q: Find the total proceeds (in $) from the sale of 20 bonds with a coupon rate of 6.25 and a current…

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Q: Find the product: ** L 2 7 -5 -6 -8 -10 1 -7 8 100 0 1 0 001 =

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Q: 3x 3x³ 24x. 11. Sketch the graph of P(x) = Show work! Then use desmos to check your answer. -

A: Px=3x3-24x        =3xx2-8        =3xx-22x+22 At x=0, x= 22, x=-22; Px=0 For x<-22, Px<0 For…

Q: If 0 is a rotation angle in standard position and P(-2, 6) is a point on the terminal arm, draw a…

A: We know that if x,y lies on the terminal side of θ, then  r=x2+y2 and  sinθ=yr…

Q: 1. If u(x, y, z) find = 21 v(x, y, z) Jºu əx³əy² əzª x³y³ 25 and ე10 əx¹ Əy¹ əz² and w(x, y, z) Jw…

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Q: the approximations In Mn and S, for 12. Then compute the corresponding errors ET EM, and Es. (Round…

A: ∫0211x4dx=11x5502=11×325=70.4

Q: 4. Prove ve 2 b 2, 3/(a² +6²) 73/91316 there exists kez where xly means divides y x 1.e.

A: Let a or b be not divisible by 3. Then, we consider following cases.  Case 1: a is not divisible by…

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Q: Find the differential equation characterizing the family of curves described. Sketch at least three…

A: Tangent of a line at a point is the straight line that just touches the curve at that point. Leibniz…

Q: Problem 2. Obtain the Fourier series for the function defined by: [0, when -2 < x < -1 f(x) = 5,…

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Q: Apply the Midpoint and Trapezoid Rules to the following integral. Make a table showing the…

A: Let n be the number of sub interval  then for the integration ∫abfxdx is…

Q: A manufacturing company has plants in three locations: Indonesia, Mexico, and Pakistan. The company…

A: Manufacturing company has plants in the three locations: Indonesia, Mexico and Pakistan. The company…

Q: 5. y" + 4y = 0, 0<x< 1, y(0) = 0, y'(1) = 0

A: Since there are two questions, therefore find the solution of the first question.

Q: Find the differential equation characterizing the family of curves described. Sketch at least three…

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Q: Find the Jacobian of the transformation x u² – 5v², y y = - 5uv .

A: Here we find Jacobian of given transformation.

Q: A mathematical (differential equation) representation for a metapopulation can be written as dp/dt…

A: The differential equation given is as follows:…

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Q: Let a be a real algebraic number of degree n > 1. Then there exists a constant ch that امام

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Q: Let C denote the positively oriented circle |z| = 1. Show that 2 sin(z) dz = a) 4z + π C - Ti √√2

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Q: Answer: Setup the Riemann sum f(x) dx = lim f(x)As for the given integral. n-00 √ ² (3 x (3x − x²)…

A: We will first indicate the function which is to be integrated over [0,2], then we find required…

Q: A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen.…

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Q: Prove that if two sets A, B are both subsets of T, then their union is a subset of T.

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Q: The graph shows the distance a bicycle travels over an amount of time. Distance (m) 18 6412 1086420…

A: The answer is in 2nd step. According to guidelines i solve first 3 subparts. So kindly request you…

Q: Let's work with a quaternion q representing a rotation of theta = 40 degrees around the axis n-hat =…

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Q: For each series below identify which test could be used to determine convergence or divergence. More…

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Q: In problems 37-40, find a Power series representation for the given function centered at x = a. f(x)…

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Q: Total personal income of the country (in billions of dollars) for selected years from 1956 to 2001…

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Q: n is a positive integer, x=7n+2, and y=6n+3. Quantity A The ones digit of x + y Quantity B 5

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Q: definition (using logical symbols-state what the variables are): (a) Odd integer; (b) perfect…

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Q: Construct a 2 by 2 matrix whose nullspace equals its column space. This is possible.

A: We can construct a 2 by 2 matrix whose nullspace equals its column space. This is possible.

Q: 4. Let f: R² R2 where f(x, y) = (y³, x + y) and C = = (1,0).

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Q: one question with all subparts

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Q: If F(s) = 4s² 2s 4 s(s² + 7s +14) is the Laplace transform of f(t), find the following, correct to…

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Q: Show instructions Question 1 (5 points) A $14,000 loan at 6% compounded monthly is repaid by monthly…

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Q: This graph shows the number of calories burned while riding a stationary bike. 100 80 60 L 40 20 4…

A: the meaning of the point (8,32) is: in 8  minutes, the number of calories burnt is 32.

Q: d) the sequence whose nth term is n! - 2" e) the sequence that begins with 3, where each succeed-…

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Q: 20. In the diagram on the right, the points P and Q represent the complex numbers z and w…

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

Q: 1, A satellite orbits the Earth with an elliptical orbit modeled by 47,472,100 44,222,500 where the…

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Q: Find a matrix A that induces the transformation T:R² R³ given below. 5x-5y -10x-2y -x+7y T x = 000 A…

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