(a) (b) (c) Find the work done by the force F(r)=-2yi+3xj-zk in the displacement along the...

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(a) (b) (c) Find the work done by the force F(r)=-2yi+3xj-zk in the displacement along the helix r = costi+3sintj+tk in the range of 0 t A solid is bounded by the plane surfaces x = 2, y = 2, y = -x and z=1 and the top is the surface z = z = y (Dimensions are in m) E [7] Using multiple integration calculate the mass of the solid so formed if the [7] density of the material is given by rho =x+y (Kg/m) Evaluate the integral 1 = ff xdxdy R over the enclosed region shown in figure Q2C by using the Jacobian determinant to transform into the new axis variables u and v as shown on the figure. y 3 u [9] 2 1 0 -1 0 Figure Q2c 2 1 (a) (b) (c) Find the work done by the force F(r)=-2yi+3xj-zk in the displacement along the helix r = costi+3sintj+tk in the range of 0 t A solid is bounded by the plane surfaces x = 2, y = 2, y = -x and z=1 and the top is the surface z = z = y (Dimensions are in m) E [7] Using multiple integration calculate the mass of the solid so formed if the [7] density of the material is given by rho =x+y (Kg/m) Evaluate the integral 1 = ff xdxdy R over the enclosed region shown in figure Q2C by using the Jacobian determinant to transform into the new axis variables u and v as shown on the figure. y 3 u [9] 2 1 0 -1 0 Figure Q2c 2 1