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- Show the complete solution for this force vibration without damping equation(e) The instructor adds 4 points to the average exam score ofeveryone in the class. Describe the changes in the positionsof the plotted points and the change in the equation of theline.Calculate the picture by Lagrange order 3!
- a) Plot the curve x^3 - 4xy + 2y^3 = 0 as x varies between -3 and 3 with the aid of theimplicitplot command.b) Find dy/dx at all points (x,y) on the curve for which x = 1.c) Find the equations of the lines tangent to the curve at the points you found in part b.d) Plot the curve and the tangent lines on the same set of axes.Find parametric equations for the tangent line to the curve x=2 sin t, y= 2 sin 2t, z=2 sin 3t at the point (1, √3, 2). Graph the curve and the tangent line on a common screen.The velocity components at point (2, 2) is specified by the equation u = x1 + 3y and v = - 2xy. Determine the accelerations and vorticity at this point. %3D
- Find the approximation for the Green's function of the one-dimensional acoustic wave equation in the case where velocity is given by: c(x) = aebx , where a and b are real numbers and a > 0. Analyze each case, b 0, in detail.The motion of a point on the circumference of a rolling wheel of radius 3 feet is described by the vector function 7(t) = 3(10t – sin(10t))ỉ + 3(1 – cos(104))} Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) Find the speed of the point. s(t) =(6) Find дл ду : ye+sin(2)=423 (8 points)