A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of 5,000 N103): 5t+10 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 of t. Hint: Simplify the quotient first. 7 N N (t) = Preview b. Find the number of antibodies that are produced 6 days after vaccination. Round to 2 decimal places. thousand antibodies