Suppose that a particle starts moving from the point r (0) = ( - 5, - 3, 2) with initial velocity v(0) = (4, 0, 0) and acceleration a(t) = (2t, 2 sin(t), cos(6t)). Determine the location of the particle at time t. T (t ) Show all steps of work on your paper.Next en f(5c, y) = m2 sin(y) + 63:3 + 5xy2 4y4, Find the following general expressions for the partial derivatives and simplify them as much as possible. Attach work if you wish to be considered for any partial credit. a:(t) = 7 + 6t Find a plane containing the point (1,-5,-2) and the line y(t) = 7 3t z(t) = 5 4t Be sure to show all steps of work and simplify your final answer into standard form. :]