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Consider the following function for t 2 0, y = exp (-2 . t) . cos (kx - 5 . t + 0.1) (a) The derivative dy/dt (at fixed k and x) : (b) At t=0, the maximum value of y = (c) At t=0, the minimum value of y = (d) Set x=0 and find the second derivative of y with respect to t. day/dt2 = * symbolic formatting help5. [-/10 Points] DETAILS SCALC9 1.1.004. MY NOTES ASK YOUR TEACHER The graphs of f and g are given in the figure. (a) State the values of f(-3) and g(2). ( - 3 ) = g(2) = (b) Which is larger, f(3) or g(3)? O g(3) (c) For what values of x is f(x) = g(x)? (Enter your answers as a comma-separated list.) (d) On what interval(s) is f(x) s g(x)? (Enter your answer using interval notation.) (e) State the solution of the equation f(x) = -1. (Enter your answers as a comma-separated list.) X = (f) On what interval(s) is g decreasing? (Enter your answer using interval notation.) (9) State the domain and range of f. (Enter your answers using interval notation.) domain range (h) State the domain and range of 9. (Enter your answers using interval notation.) domain range