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A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of N' (t) = 2,000 20t + 10 thousand per day. Assume that when no vaccine is administered, the immune system produces no antibodies. That is, assume that when t = 0, N(t) = 0. a. Specify the function that describes the antibody production in terms of t. Hint: Simplify the quotient first. N(t) = Preview b. Find the number of antibodies that are produced 4 days after vaccination. Round to 2 decimal places. thousand antibodies

A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of N' (t) = 2,000 20t + 10 thousand per day. Assume that when no vaccine is administered, the immune system produces no antibodies. That is, assume that when t = 0, N(t) = 0. a. Specify the function that describes the antibody production in terms of t. Hint: Simplify the quotient first. N(t) = Preview b. Find the number of antibodies that are produced 4 days after vaccination. Round to 2 decimal places. thousand antibodies

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of N' (t) = thousand per day. Assume that when no vaccine is administered, the immune system produces no antibodies. That is, assume that when t = 0, N(t) = 0. N(t): a. Specify the function that describes the antibody production in terms of t. Hint: Simplify the quotient first. = 2,000 20t + 10 Preview b. Find the number of antibodies that are produced 4 days after vaccination. Round to 2 decimal places. thousand antibodies
Transcribed Image Text:A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of N' (t) = thousand per day. Assume that when no vaccine is administered, the immune system produces no antibodies. That is, assume that when t = 0, N(t) = 0. N(t): a. Specify the function that describes the antibody production in terms of t. Hint: Simplify the quotient first. = 2,000 20t + 10 Preview b. Find the number of antibodies that are produced 4 days after vaccination. Round to 2 decimal places. thousand antibodies
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