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- A fence is to enclose a rectangular possible from with area of 400 square meters if P(x) is the length of one side of the spin.ph represent emanator and of the facing material requiredFind the points on the surface xy2z3=2 that are closest to theorigin.find a parametrization for the curve. the ray (half line) with initial point (2, 3) that passes through the point (-1, -1)
- A rectangle ℛ with sides a and b is divided into two parts ℛ1 and ℛ2 by an arc of a parabola that has its vertex at one corner of ℛ and passes through the opposite corner. Find the centroids of both ℛ1 and ℛ2.Please I need the solution on how it is divergentAn infinitly long string having one end at x =0 is initially rest on the x axis. The end x = 0 undergoes a periodic transverse displacement given by u = t. Find the displacement of any point on the string at any time using laplace transformation method if α = 1. (find the solution in x, t domain)
- Find the general solution of the equation using the Cauchy–Euler law.Please express z directly in terms of u and v. No need to do first part (i.e. Chain Rule)The diagram shows a small block B, of mass 0.2kg, and a particle P, of mass 0.5kg, which are attached to the ends of a light inextensible string. The string is taut and passes over a small smooth pulley fixed at the intersection of a horizontal surface and an inclined plane.The block can move on the horizontal surface, which is rough. The particle can move on the inclined plane, which is smooth and which makes an angle of θ with the horizontal where tanθ = 3/4The system is released from rest. In the first 0.4 seconds of the motion P moves 0.3m downthe plane and B does not reach the pulley.(a) Find the tension in the string during the first 0.4 seconds of the motion.(b) Calculate the coefficient of friction between B and the horizontal surface.