Let S = {1,2,3,... 18} and define the relation R by xRy if xly. Draw the Hasse diagram for R.

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A: Given functional is Iu(x,y)=∬Ωxux-uxu+yuydxdy Let F=xux-uxu+yuy         (1)

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

A: Given simultaneous differential equation is dxdt+dydt+y=tdxdt+4dydt+x=1 With condition x(0)=1,…

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Q: 4. In the following figure which points are extreme. 5. Define a face and edge in polyhedral set.

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

A: Given simultaneous differential equations are 5d2xdt2+12d2ydt2+6x=05d2xdt2+16d2ydt2+6y=0 subject to…

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Q: Q3 Matlab A) Solve the following linear equations (i.e., determine w,x,y,z values) 4w + y +3z -z =…

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Q: 3) Determine the point(s) of intersection of the lines L₁: (3,1,5) + s(4,-1,2) and L₂: x = 4+ 13t, y…

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Q: Prove that for any positive integers m and n there are m consecutive positive intege numbers such…

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

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Q: 2) Consider the following system: x + by = 9 a₁x +9y = -27 Determine the value(s) for a for which…

A: Explanation of the answer is as follows

Q: 2) Consider the following system: x + by = 9 a₁x +9y=-27 Determine the value(s) for a for which the…

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Q: 1. Gaussian integral The Gaussian integral, which has useful applications in probability…

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Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

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Q: Find the values of x and y - SX+(s+6) Y=1 ....... (3-s) X-2sY = -8 ...... (1) (2)

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Q: Show that the following equation has a solution on (4,8). 2-53 sin()

A: To Show: The equation 2x-5=3 sinπ x8 has a solution on (4, 8).

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Q: 1) Consider the conquer and divide relation f(n) = 2f (n / 4) +9 with f(1) = 3. a. Considering only…

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Q: 2) How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of…

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Q: Consider a slightly damped vibrating string that satisfies du 8²u 8² u To po at² = B- მ2 Ət (a)…

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Q: Give the domain of f, the domain of g, and the domain of m, where m(x) = f[g(x)]. f(u) = In u;…

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Q: A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved.…

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Q: Find an explicit solution of the given initial-value problem. (1 + x²) dy + x(1 + 4y²) dx = 0, y(1)…

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Q: State the order of the given ordinary differential equation. t8y(6) - t4y" + 5y = 0 Determine…

A: Differential equation is an equation with one or more variables and some of their derivatives. We…

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Q: Q3\ using Euler method, find an approximate value of y corresponding to x€ [0 -0.7], Given = x(x +…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: 1. Write the solution of the system of equations: P₁ = 5p₁ - 4p₂ + e²t; p2 = P₁; P₁(0)=P₂ (0) = -11

A: Given system of equations are p1'=5p1-4p2+e2t,    p2'=p1   Also given p1(0)=32,   p2(0)=-11   To…

Q: Determine if the series converges or diverges; if the series converges, find its sum. Σ (-1)n-17 gn…

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A: the given integral is ∫xdxx2+13 substitute  x2+1=u2xdx=duxdx=du2 therefore the given integral…

Q: 22. Given the matrices below, and considering Strassen's algorithm: A B 1 2 3 4 0121 01 011 103 1 -1…

A: Solution: It is given that A and B are 4×4 matrices.                   A…

Q: 1. Create a system of linear equations with three equations and three unknowns. -Solve the system of…

A: Consider a system of linear equations with three equations and three unknowns. The system can have a…