1. Solve v = 5e3" + sin x {dy/dx) 2. The velocity of a body as a function of time is given as v (t) = 59 '3 + 4, where t is in seconds, and v is in mfs. Solve the acceleration in m/s2 at t = 0.6 3. Solve the exact derivative of x) = x2 at x = 5 4. Using the fonrva rd divided difference approximation with a step size of 0.2. what is the derivative of the function at x = 2 x 1.3 2.0 2.2 2.4 2.6 {(x) 6.0496 7.3390 9.0250 11.023 13.464 5. Find the acceleration at t = 175, using secondorder polynomial approximation and differentiate it, given the table below; t,s 10 15 20 22 v,m/5 22 36 57 10