1. (10 points) The cumulative amount of charge in Coulombs that passes through a certain device is

0; t < 0

2; 0≤t≤4

0.5t; 4≤t≤8'

4e-0.2(t-8); t≥8

q(t)

where t is given in seconds.

a. Sketch the plot for charge from 0 to 12 seconds.

b. What is the current at t = 2 s?

c. What is the current at t = 6 s?

d. What is the current at t = 12 s?