Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

Q: Q1/ Find -1 = s² (s+1)(S-1)²

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Q: Let u = : (1,−1, 2) and v= (2, 3, -1) be two vectors in R³. Which of the following is a normal…

A: Given vector is u→=1,−1,2 and v→=2,3,−1. We have to find the normal vector to the plane defined by…

Q: ve the given differential equati dy dx - (1 + x)y = xy

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Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y² + y

A: Given differential equation is 2xy'=10x3y5+y The above differential equation is solved as shown…

Q: Q6) Use Gauss- Jordan Elimination method to solve the following linear equations. 2X + 2Y = 2…

A: We Know that Steps for Gauss-Jordan Elimination Method :  To perform Gauss-Jordan Elimination: Swap…

Q: 3. 기<2 ga-호= f(x)는 기준을 ㅎ(ㅈ~ㅎ)

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Q: State the order of the given ordinary differential equation. (sin e)y" - (cose)y' = 7 Determine…

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Q: Find the general solution of the given differential equation. dy X dx - y = x² sin(x) y(x) = Give…

A: Consider the given ordinary differential equation, xdydx-y=x2sinx it can be simplified as,…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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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: B- Show that if the following function be probability function: for 0<x< f(x) = -² 124 0 0. W

A: Explanation of the answer is as follows

Q: 11. Show that the definite integral of f(x) = c over [a, b] is c(b-a) by applying the definition of…

A: Here given function as fx=c where the function fx is defined on the interval a, b.

Q: 05 Suppose that two dice are rolled such that : A: what is the pr. that a sum of (7) or (11) turns…

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Q: Let C₁, C₂, C events form a partition of the sample space Let A,B be events such that P(B nC)>0…

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Q: Find the limit by using l'Hôpital's Rule. ( limx-14³-x-3

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Q: Find -1 s² (s+1)(s−1)²

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 5 x² + 2xy dx…

A: Explanation of the answer is as follows

Q: Q1-Choose or branch ( A-find the optimum values of X₁, X2, and X3 3X1 +2X2-X3 = 1 2X1-2X2-4X3-2…

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Q: Find the sum of series for which n-th term given by an= 4/(5^n)

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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: Find the general solution of the given differential equation. 2 +6y= 3 dy dx y(x) = Give the largest…

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Q: Laplas invees Q1/ Find 1 = s² (s+1)(S-1)²

A: Using partial fraction and standard formulas of inverse Laplace transform, we find the inverse…

Q: Let A, B, C and D be square invertible matrices, such that AB = CD. Find an expression for B-¹?…

A: Use the properties of invertible matrices and their product to solve this problem as in next step.

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Here we use the integrating factor to find the solution of differential equation. And to solve the…

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

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Q: Q2:/Sketch the region (R) of integration f (x² + y²) dydx and evaluate the integration. Then reverse…

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Q: Evaluate the indefinite and definite integral. 4x So √²+1 dx

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Q: The solution of the differential equation by variable separable method dy (1+y²) (3z²+6) dz 1³ +62…

A: Given :  The differential equation is ;   dydx = 6 1+y23x2+6x3+6x To find : The solution of the…

Q: Solve the P.D.E XUX-July =o by using Change of variable α=xy and B=X. the

A: We have to solve the P.D.E. using the change of variable.

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

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Q: Which of the following is the general solution to the differential equation dy dx Select one…

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Q: 1: Find the solution of each of the following differential equations: an (t) a) ty' + 2y = dy (y-1)²…

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Q: 3- If F(x) is the distribution function of random variable X, P(a ≤ x ≤ b) will be a- F(a) -- F(b)…

A: Explanation of the answer is as follows

Q: + y²73, nates. Th = x direct , 8) is

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Q: lem Set A Vernier caliper has a least count of 0.001 in. There are 25 divisions on the Vernier…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve one…

Q: Solve the given differential equation. dx 4y² + 6xy dy 3y² + 2x

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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: Find the points at which the function f (x) is continuous and the points at which f is…

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Q: Q2: Find the area inside r = 2(1 - cose) and outside r = 2.

A: First we will graph the region the region bounded by the polar curves then by identifying the limits…

Q: Determine the stepsize that can be used in the tabu- lation of f (x) = sin x in the interval [0,…

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Q: Solve d² y dy² – 3 +2y= xe3 dy dx

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Q: xy’ + (1+2x?)y = x3e-x2

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Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Golden-Section search (Xlower = -2, Xupper= 4…

A: Given: fx=4x-1.8x2+1.2x3-0.3x4 To find: Solution

Q: CES Ф=2 min w₁x₁ + W₂x₂ min *' + Жау лах, тих, *,+-3,-у

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Q: Consider the function f(x) = 2x³-32²-362-6 on the interval [-3, 0]. f(x) is continuous on [-3,0], so…

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Q: Let a, b, c, d be distinct non-zero real numbers with a + b = c + d. Then an Eigen value of the a b…

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Q: (Dirichlet's function) we define f(x) こ d, if x is aration number $ otherwise, xe loi

A: Given Dirichlet's function is f(x)=1,      if x is a rational number0,       otherwise x∈0,1 We have…

Q: In this problem, y = c₂e+c₂e" is a two-parameter family of solutions of the second-order DE y" - y =…

A: Use the initial conditions to given solution of differential equations to eliminate the arbitraty…

Q: The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be…

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