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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 10t+20 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)

A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of N' (t) = 2,000 10t+20 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)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 9E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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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 10t+20 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) b. Find the number of antibodies that are produced 7 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) = 2,000 10t+20 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) b. Find the number of antibodies that are produced 7 days after vaccination. Round to 2 decimal places. thousand antibodies
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