A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of 2,000 N/(t) = 5t+20 thousand per day. Assume that when no vaccine is administered, the immune system produces no antibodies. That is, assume that when t = O, N(t) = 0. a. Specify the function that describes the antibody production in terms oft. Hint: Simplify the quotient first. N(t) 2 Preview l b. Find the number of antibodies that are produced 8 days after vaccination. Round to 2 decimal places. ' thousand antibodies