Determine the coordinates of the mass center of the welded assembly of uniform slender rods made from the same bar stock. Answers: (X,Y,Z) = ( i 1.08 a a i -x i ) a

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A: 1. Given matrix is A=907-32-1241 R2→R2+13R1R3→R3-29R1 A=907024/304-5/9

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A: Here the solution for q(x) and r(x) in Z7[x] are  q(x)=5x2+2x+1r(x)=6

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Q: Use Stokes’ Theorem to evaluate the flux integral ∫∫(∇×F)·ndS, where F =〈2y, −z, x+y −z〉, S is the…

A: BY this  theorem we can convert flux integral to line integral.

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Q: 1).    Use the direction field below from the differential equation y' = −4y to sketch the graph of…

A: Given Data: Let us consider the given Differential equation is y' = −4y

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A: For the detailed solution of the problem follow the next steps.

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Q: A cable 200 ft long and weighing 4lb/ft is hanging vertically down a well. If a weight of 100 lb is…

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A: Given the following recurrence relation  c2=-4c0     and     ck+2=2 ck k-4k+1 k+2 for k=1, 2, 3, ...…

Q: Consider the linear problem Y' (t) = XY (t) + (1 - A) cos(t) – (1 + X) sin(t), Y(0) = 1. The true…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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A: Given Solution is totally Wrong. Because there used Q+ with addition. We have to show that Q+ is not…

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A: We know that  rank(M) = dim( Col(M))

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Q: Determine the magnitude of the pin force at A. Assume W = 875 lb, a = 3.8 ft, b = 2.6 ft, r = 8 in.…

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Q: Find the characteristic polynomial for the matrix A given by 4 00 0 2-6 -1 0-2 0 0 0 -5 6 4 1 -1 -1…

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Q: 1. The paths of two dolphins playing in the ocean were recorded by some biologists. The first…

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Q: Find the general solution of the x²y" + xy' − y = 3x, x‡0;

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Q: 5. Use Laplace transformation to solve the following differential equations. Make sure to show all…

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Q: Q3. Copy the graph drawn below. Sketch the graph of y = f' (x) accurately on the same page. M Part…

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Q: Find the amount of periodic payment necessary for the deposit to a sinking fund. (Round your answer…

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Q: Evaluate the given function by using three terms of the appropriate Taylor series. √√4.3

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Q: Solve for x E [0, π) 2 cos²x + 3 sin x = 3

A: Sol:- 2cos2x+3sinx=3, 0≤ x<πUse the Pythagorean identity:  cos2x+sin2x=1-1-2sin2x+3sinx=0Let:…

Q: An insulated heated rod with spatially heat source can be modeled with the Poisson equation. of T =…

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Q: Find Laplace transform for the following functions 3) f(t) = t cosh(at)

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Q: Rewrite the set G by listing its elements. Make sure to use the appropriate set notation. G={x| X is…

A: Use the given information.

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Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

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Q: ts Integrate using an appropriate method. State whether this integral is convergent or divergent.…

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Q: 7. Solve the equation Y'(t) = XY (t) + = 1 1 + t² Y(0) = 0; Y(t) = tan-¹(t) is the true solution.…

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Q: Find the general solution of the differential equation. y(4) y = 15t + cost. NOTE: Use c₁, c₂, C3,…

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A: Definition of Continuity: A real valued function f is continuous at a point x0 if and only if for…