The charge q in an electric circuit at time t satisfies the equation L + R = + = = 9² d²q dq 1 dt dt² L, R, C and E are constants. Solve the equation given L = 4 H, C = 250 x 10-6 F, and E = 400 V, when R = 300 N. Assume that when t = 0, q = 0 and d = = 0. dt = E, where

y=√x Find dy/dt, given x = 4 and dx/dt = 3 Find dx/dt, given x = 49 and dy/dt = 8

If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6. (Enter your answers as a comma-separated list.) dx dt

Calculate G(16), where dG/dt =t-1/2 and G(9) = -5.