Consider the differential equation y' +13y = 3cos(21). The period of one beat is approximately: a) 4.8 b) 5.8 c) 6.8 d) 7.8 The period

Consider the differential equation y' +13y = 3cos(21). The period of one beat is approximately:

a) 4.8

b) 5.8

c) 6.8 

d) 7.8 

The period of one of the rapid oscillations is approximately

a) 2.2 

b) 3.2 

c) 4.2 

d) 5.2

A particle moves according to a law of motion s= f(t), t 0, where t is measured in seconds and sin feet. f(t)= te-1/2 (a) Find the velocity at time t (in ft/s). V(1) (b) What is the velocity after 2 s? (Round your answer to two decimal places.) v(2) = ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 s. (Round your answer to two decimal places.) ft (f) Find the acceleration at time t (in ft/s). a(t) = Find the acceleration after 2 s. (Round your answer to three decimal places.) a(2) = ft/s (g) Graph the position, velocity, and acceleration functions for the first 6 s.