m and n, mn, such that: and U(m) ~U(n). Find integers a) |U(m)| = |U(n) b) |U (m)| = |U(n) and U(m) U(n).

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A: 1st we will formulate Linear programming and then solve it graphically using corner point method

Q: VIII. Suppose that X,Y are uniform on x² + y² 0. Find 1. marginal pdfs fx and fy 2. E(X) 3. fy(y|x)

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Q: The complementary function of the differential equation d²y dx² 2 + 3x +y= dy dx 1 is (1-x)²

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Q: A graph of y=f(x) is shown. In the same coordinate system, sketch a graph of the derivative function…

A: Note: If f(x) is decreasing, then the graph of f'(x) will be below the x-axis. If f(x) is…

Q: sin (A+B) cos(A-B)

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Q: The nutritionist of CMU Hospital serves lunch consisting of two courses, A and B. Assume each unit…

A: The linear function that needs to be optimized(maximize or minimize) is called the objective…

Q: Find a polynomial P(x) = ao + a₁x + ₂x² + 3x³ of degree 3 whose graph passes though the following…

A: Solution

Q: e it within 30

A: Given,           55, 61, 42, 44, 28, 48, 64, 44, 40, 42

Q: QUESTION 15 a) How many elements of order 2 are there in S5? b) How many elements of order 2 are…

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Q: QUESTION 14 Find up to isomorphism all Abelian groups of order 18.

A: To find- Find up to isomorphism all Abelian groups of order 18.

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A: We know that ℝn is the vector space consisting of n tuples over the field ℝ. In particular, for n=3,…

Q: COMPLEX ANALYSIS QUESTION PLEASE ANSWER ALL QUESTIONS DERIVATIVES Let f be a function whose domain…

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Q: Ellen is looking to purchase a car.  She determines that she can afford a monthly payment of $325.…

A: To determine the cost of car that Marie can afford.

Q: QUESTION 6 Which of the following expressions correctly sets up the line integral r(t)=(t²+2t)i +…

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Q: 9. A coffee company wants to determine the daily production levels of its three different blends of…

A: To represent the portions of regular, medium and dark used in the blends I, II and III in decimals,

Q: [A] - [35] 6 (1) Find Eigen values. (2) Find Eigen vectors.

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Q: For a sum of ₱8000.00 to double itself in 12 years and 9 months, what must be the rate of interest…

A: Let us considre the principal amount P  The amount obtained after t years and rate of interest r…

Q: Find the inverse of A 1 1 16 2 5 3 1 1 1 2 02 2 3 1 3 3 59 3 2 7 1 3 using the cofactor method.

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Q: Determine the forward, backward, and central differences for du/dx for the function u(x,y)=2ye^-x at…

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Q: Compute the eigenvalues of matrix A and its inverse -3 1 -1 4 2 A = [23] and A-¹ | If A has…

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Q: (a) Find a vector parametric equation for the part of the saddle z = xy inside the cylinder x² + y²…

A: The equation of surface is defined by the part of the saddle z=xy inside the cylinder x2+y2=36.

Q: A manufacturer of light-emitting diode (LED) lights has tested its lights and found that the percent…

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 34 49

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Q: If sin A=- a) b) c) . R<A<³1. 13 sin (A+B) cos (A-B) cos 2B 24 25 , and cos B=- . 3л 2 -<B<2, find:

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Q: Ompute the expected payoffs of the game for the pairs of strategies in parts (a-d). (Round your…

A: In this question, the expected payoffs of the game for the pairs of strategies are calculated. The…

Q: . Show that the operators T₁,, T4 from R2 into R2 defined by (1, 2) (1, 0) (§1, §2) (0, §₂) (§1, §2)…

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Q: 2. (a) Let X = C[0, 1]. Define T: X→ X by. Tf(x) = xf(x) Show that (i) T is bounded (ii) Find || T…

A: Given- Let X = C0, 1. Define T : X → X by Tfx = xfx.  To Show- Show that T is bounded. Find T.

Q: Find the interval of convergence for 3x+1 Σn(n+1)*

A: Given series is ∑n=1∞3nxn+1n(n+1)

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Q: 60 50 40 30 20 10 -10 110 10 20 30 40 50 Katie is a lifeguard and spots a drowning child 50 meters…

A: Note: Pythagorean theorem:  For a right-angled triangle , we have (Base)^2 + (Height)^2 =…

Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

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Q: High school swimming state averages are as follows: Freestyle: mean time 72.39 seconds, standard…

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Q: 8. If a plan is moving horizontally at 100 mi and is falling at 10 mi how fast must an observers eye…

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Q: Solve the homogeneous system 3x1 + x2 + x3 + x4 5x1x2 + x3 x4 = = 0 0.

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Q: 3. Use divisibility tests to decide whether the given number is divisible by 2, 3, 4, 5, 6, 8, 9,…

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Q: Two friends wash cars to make extra money. The profit P(x) of one friend after x days can be…

A: Given that profit P(x) of one friend after x days can be represented by the function P(x) = - x ^ 2…

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Q: fo 2. The effectiveness of studying for an exam is given by the function E() = (2 have only one full…

A: For absolute maximum or minimum  i) verify that the function is continuous on the given  interval…

Q: COS T2² (z−1)(z–2) ed) is equal t

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Q: 5. Find the area of the region bounded by y = x and y = x² - 2x y=x & y=x²-2 x

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Q: 17. Let (G, *) be a group, and let H, K≤ G, H ≤K. Prove that (a). K/H AG/H ammad A Castanl/Collage…

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Q: 8. A house and lot are worth P4.3 million in cash. A buyer pays a 40% down payment and agrees to pay…

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Q: QUESTION 8 Ashley knows that he will have $875,000 when he retires. If he sets up a payout annuity…

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Q: a.) -x-3y -z = 6 2x - 5y2z = 14 (x + y = -1 2x - 3y = 5 b.) {-4x + 7y=-11

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Q: Problem Solving A. The nutritionist of CMU Hospital serves lunch consisting of two courses, A and B.…

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Q: 010 = Let R₁ and R₂ be relations on a set A represented by the matrices MR₁ 1 1 1 and MR₂ = 100 ГА В…

A: Given that R1 and R2 be the relations on set A represented by the matrices…

Q: Determine the Jordan form J of A and the corresponding transformation matrix M.

A: "Since you have asked multiple questions, according to our guidelines we will solve only the first…

Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (V₂ - V₁ V₁ + V₂, 2v₁),…

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Q: d d Calculate[r₁(t) r₂(t)] and [r1(t) × r₂(t)] first by differentiating dt dt the product directly…

A: give r1(t)=9ti+2t2j+6t3k and r2(t)=t4k So  r'1(t) =9i+4tj+18t2k and r'2(t)=4t3k