Given the system of equations−3x2+7x3=2,x1+2x2–x3=3,5x1 −2x2=2(a). Compute the determinant. (b). Use Cramer’s rule to solve for the x’s. (c). Use Gauss elimination with partial pivoting to solve for the x’s. (d). Substitute your results back into the original equations to check your solution.

How to increase the thermal officiency of an ideal simple rankino cycle? among these methods, which one is the best and why?

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed

The power source in a certain welding setup generates 3500w that is transferred to the low carbon steel work with a heat transfer factor of 0.85. the melting factor in the operation is 0.45. a continuous fillet weld is to be made with a cross-sectional area of 23 mm2 determine the travel speed at which the welding can be accomplished.