Q2: a group of 6 boys and 4 girls, in how many way four children can be selected such that at least three boys should be there.

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

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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,…

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: Find for the function y = cos² 3X + √√Sin x dx

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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: Q.3. If (4x + 5y + 7z = 14) is equation of a plane and (x = 2 + 2t, y = 1 - 3t, z = 2 + t) is…

A: We have to find the equations of the new line and new plane.

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Q: distinct non-zero real numb d. Then an Eigen value of t 1 1 is

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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,…

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Q: What is Fulkerson algorithm? Find the maximal flow of the following network using Fulkerson…

A: Given graph is Fulkerson's method is used to solve maximum  flow problem. Terms we are using for…

Q: Determine the numerical value of the following expression without the use of a calculator: 100 1000…

A: The given problem is to find the numerical value for the given following expression with summations.

Q: Given vec = 1:10, which statement below produces the same value of s as does the ?following script S…

A: The outputs of the following codes are as shown below.

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Q: 513 Find for the function y = cos² 3X + √Sin x

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Q: * Given vec = 1:10, which statement below produces the same value of s as does the ?following script…

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Q: 5. Given the equation xy = Arctan(ye*) where z is a function of a and y, Əz əz find and ar ду

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Q: a) Compute the enclosed area and length (from 0 to 2pi) of the parametric curve given by 3, 3, x = A…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 1. Show that the absolute value of Re(z) + the absolute value of Im(z) is less or equal to root of 2…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve the given initial-value problem. dy X + y = 6x + 1, y(1) = 9 dx y(x) = Give the largest…

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Q: In this problem, x = c₂ cos(t) + c₂ sin(t) is a two-parameter family of solutions of the…

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Q: 3. Show that X = (x)Ax=b, x ≥ 0} is convex.

A: By definition of convex we will prove X is convex

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Q: F ((p -> q) v (q -> r) -> (p -> r)) Say if it is tautology, contradiction or contingency

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Q: For the following LP model, find values of the first iteration tableau variables using simplex…

A: Let us solve the given LPP using simplex method in the next steps.

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

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

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Q: Using Newton Raphson method, do 4 iterations to find a positive root for f(x)=sin(x)-x² starting…

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Q: Which of the following code fragments ?transposes a matrix A correctly B = transpose(A) O B = A' O B…

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Q: (a) i. Determine the bilinear transformation that maps the points 1 - 2i, 2 + i ,2 + 3i respectively…

A: Solution a: (1) Let z1=1-2i, z2=2+i, z3=2+3i and w1=2+2i, w2=1+3i, w3=4 Since bilinear…

Q: * solve the system of equations by jacobi's iteration method 10a -2b-c-d=3 -2a+10b-c-d=15…

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

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Q: Find for the function y = cos² 3X + √Sin x dx 기

A: Given function is y=cos23x+sinx. We have to find the dydx. Differentiate y=cos23x+sinx with respect…

Q: 5. At 60°F a particular blend of automotive gasoline weights 6.17 lb/gal. The weight y of gasoline…

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

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Q: Determine whether the linear transformation T is one-to-one and whether it maps as specified Let T…

A: These question related to linear transformation from linear algebra.