Estimate f sinxdx with an error less than 0.001 by exploiting the properties of Taylor polynomials....

 

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Estimate f sinx²dx with an error less than 0.001 by exploiting the properties of Taylor polynomials. b) Consider the system composed of two masses connect by springs of elastic coefficient k, k, k and of natural length I, 1, 1, that are fixed to the surface at points A and B. with the distance AB = L, as shown below in Figure Q4b. Find the general equilibrium values for x and x by making use of Hook's Law F = kax and matrix formulation for the equations of motion. Further, find the equilibrium solution when k = k = k = k and 1 = 1₂ = 1₁ = 1. A A D T₁ T₁ X₂ R₂ K₂ 2. Figure Q4b: two mass-three springs system c) Figure Q4c shows an electrical network with mesh currents I₁, I2, Is, and I4, resistances R₁, R., R₁, R and Rs and voltage sources E₁, E, E, and E₁. Formulate a matrix solution for the unknow currents I, I, I, and I. Further, find the currents when the resistances are R₁ = 3, R₂ = 4, R = 1, R4 = 7 and R. = 4 and the voltages E₁ = 6, E₂ = 10, Ex = 5, E = 5. B T₁ T₂ O R₂ k Rz || Figure Q4c: Electrical network B R₂ F Estimate f sinx²dx with an error less than 0.001 by exploiting the properties of Taylor polynomials. b) Consider the system composed of two masses connect by springs of elastic coefficient k, k, k and of natural length I, 1, 1, that are fixed to the surface at points A and B. with the distance AB = L, as shown below in Figure Q4b. Find the general equilibrium values for x and x by making use of Hook's Law F = kax and matrix formulation for the equations of motion. Further, find the equilibrium solution when k = k = k = k and 1 = 1₂ = 1₁ = 1. A A D T₁ T₁ X₂ R₂ K₂ 2. Figure Q4b: two mass-three springs system c) Figure Q4c shows an electrical network with mesh currents I₁, I2, Is, and I4, resistances R₁, R., R₁, R and Rs and voltage sources E₁, E, E, and E₁. Formulate a matrix solution for the unknow currents I, I, I, and I. Further, find the currents when the resistances are R₁ = 3, R₂ = 4, R = 1, R4 = 7 and R. = 4 and the voltages E₁ = 6, E₂ = 10, Ex = 5, E = 5. B T₁ T₂ O R₂ k Rz || Figure Q4c: Electrical network B R₂ F