Consider the poset whose Hasse diagram is given below. Find the length of the longest chain. Find also the antichains. g d f e

Q: Solve the following integro-differential equatic y' (t) + [ * (t – u)y(u) du (tu)y(u)du = t, y(0) =…

A: Given differential equation

Q: (i) If m / ±1 is a square-free integer prove Xn-m is irreducible in Q[X]. (ii) Prove that for every…

A: m≠±1 is a square-free integer.Polynomial : Xp-1+Xp-2+...+X+1Polynomial : X4-X-4

Q: Construct a natural cubic spline for the given data below. Then predict f(1), f(2), f(3) and f(4). 0…

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Q: Solve the differential equation z²y" - 3xy' +3y=0 with initial condition y(0) = 2, y'(0) = 2.

A: Given differential equation is                                               ------------(1)…

Q: You will order three things from a menu that offers 12 items. What are the different ways you can…

A: We have to calculate the number of possible ways to choose three things from a menu of 12 options.…

Q: Find the inverse Laplace transform of (a) 2 s²-s+13/36 2

A: Since both are not interlinked so as per our guideline, we are supposed to solve only first…

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A: Loss means that the amount which we lost by selling the product is known as a loss. Given:- Here the…

Q: Consider the following system of linear equations: 3x₁ + x₂ + 5x3 = -1 x₁ + x₂ + 2x3 = 2 5x₁ + ax₂ +…

A: Iteration:

Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

A: The given system of differential equations is          x’ = x - 5y + 2cos2t           y’ = x - y…

Q: Find bases for the column space, the row space, and the null space of the matrix 1 3 -1 1 2 9 0 4 4…

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Q: 3 A random sample of 1000 oranges showed that the mean amount of juice per orange was 8,4 fluid…

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Q: Use the convolution theorem to obtain a formula for the solution to the given initial value problem,…

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Q: Consider a simple hypothetical situation involving three alternatives and three attributes. All of…

A: The ELECTRE (ELimination Et Choix Traduisant la REalité) I method is a multi-criteria…

Q: Calculate the y-coordinate of the centroid of the shaded area. The triangle is equilateral. 7749 49…

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Q: Solve the following equation. 3 5 5 (6y+2)-10(-5y-4)=2y-10 49

A: The given equation is, -356y+2-510-5y-4=2y-4910.

Q: Consider F: R³ → R² defined by F(x, y, z) = ((x + 1)² + y −1+z, xy+y+z) . Using the Implicit…

A: Given:Function  defined by Jacobian matrix of  evaluated at  Objective: Using the Implicit Function…

Q: Find the 7-base representation of rational number 1 36

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Q: Use the Laplace transform to solve the following initial value problem: y" +-6y +9y = 0 y(0) = 1,…

A: The given problem is to solve the given initial value problem with given initial conditions by using…

Q: Using the Fourier integral representation of the function f(x)= (a,x |k| #11/16 ²0 TT we find where…

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Q: Mr. Jackson drove 400 miles in June. He drove 10 times as many miles in June as he did in May. He…

A: Given that, Mr. Jackson drove 400 miles in June. He drove 10 times as many miles in June as he did…

Q: Let X be a continuous random variable with probability density function fx(x) = { 5e-5x if 0 < x < ∞…

A: To calculate the exact value of E(Y), we need to find the expected value of the transformed random…

Q: Question 3. Define an even periodic extension of f(t)=1+4t, 0<t<2 and hence find its half-range…

A: Here have to find an even periodic extension of f(t) and hence find it's half range cosine series…

Q: The annual Exercise Club membership fees of $2500 are due on Sanuary 31,2018. Club managentent…

A: To calculate the amount a member must pay on January 16, 2018, taking advantage of the management's…

Q: Find the volume under the surface above the defined region: J y sin xy dA where D is the rectangular…

A: To find the volume of a solid we using double integral we integrate value of z in terms of x and y…

Q: What are the eigenvalues for each equation below? Based on the eigenvalues, classify the equilibrium…

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Q: Each of the five connected particles has a mass of 0.53 kg, with G as the center of mass of the…

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Q: Find the optimal solution of the following linear programing (LP) problem without using the Simplex…

A: Question is about to find the optimal solution without using the Simplex Algorithm Since we are to…

Q: Use the convolution theorem to solve the integro-differential equation to find y(t): fy"(t)y'(t-1)dt…

A: The  given  equation  is  ∫0ty''(τ)y'(t-τ)dτ=y(t).......(1),y(0)=0,y'(0)=y1 Let…

Q: Suppose that production of 1 unit of mining requires 5/7 unit of mining, 1/7 unit of manufacturing,…

A: Given that the production of 1 unit of mining requires 5/7 unit of mining, 1/7 unit of…

Q: Solve the following linear programming problem using two-phase simple method. Minimise Z=6x₁+3x₂…

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Q: Solve the following first order differential equation by using initial condition? Clue: Set y=vx,…

A: xy'=y-4xe2yx Dividing both sides by x, we get  y'=yx-4e2yx                          (1)

Q: Find an angle in each quadrant with a common reference angle with 257\deg, from O\deg <=\theta…

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Q: inflation be? the money supply is growing at a rate of 8 percent per year, real GDP (real output) is…

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Q: Use the Gram-Schmidt process to find an orthonormal basis for the subspace of R* spanned by columns…

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Q: A window is in the shape of rectangle surmounted by a semi circle. If the perimeter of the window is…

A: Given a window is in the shape of a rectangle surmounted by a semi-circle. The perimeter of the…

Q: A) Let F(x,y,z) = (-y, x, xyz). Using Stokes' theorem evaluate the flux int_C F*ndr where C is the…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Use Stokes' Theorem to evaluate Need Help? F(x, y, z) = x² sin(z)i + y²j + xyk, S is the part of the…

A: Here we have to solve the given integral using strokes' theorem.

Q: Determine whether the statement below is true or false Justify the answer. The echelon form of a…

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Q: Let be an integer from 9 to 38. For how many values of will (n)/(5)be prime?

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Q: Use a definite integral to find the area of the region between the curve y = 7x and the x-axis on…

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Q: 6. The characteristic polynomial of a 5x5 matrix is given below. Find the eigenvalues and their…

A: Given characteristic polynomial of a 5×5 matrix is λ5-17λ4+72 λ3 We have to find eigen values of the…