Solve te following DE using laplace trancform - 3X ty =e cos2x when ylo) = 0 %1
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- PART 1: DETERMINE THE CENTROID IN X (? ") and THE MOMENT INERTIA IN (Iy) OF THE FOLLOWING FIGUREwhat is the area of the rotational surface formed by rotating the part of the function y= x^3/3 between 0<x<1 around the Ox axisFind the Moment of Inertia with respect to the origin of one loop in r2 = cos 2θ.
- Find the intregal using u substitution. Full solutionFind a parametrization for the cylinder x2 + y2 = 1.A spring is stretched by 5in by a mass weighing 17lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.3lb⋅s/ft and is acted on by an external force of 9*cos(8*t) lb. Determine the steady state response of this system. Use 32 ft/s2 as the acceleration due to gravity. Pay close attention to the units. U(t) = ? ft