\fProblem 1. (3 points) Consider the ODE y(t) + 10y(t) + 25y(t) = p(t) (a) The general solution yn(t) of the corresponding homogenous ODE is yh (t ) = Use A and B as your arbitrary constants. (b) Suppose that p(t) = 3sin(21). Which of these would be an appropriate form to try for the particular solution yp(t)? . 3 sin(2t) . asin(2t) . 3 sin(at) . sin(at) + cos(bt) . asin(21) + acos(2t) . asin(2t) + bcos(2t) . at sin(2t)Problem 2. (5 points) 16 Consider the surface in R given by z = x2 + y2' (a) What is the range of z for this surface? Enter your answer as an interval using interval notation. For example ;code;[-3,2);/code for the interval -35z