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A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of 2,000 N'(t) 5t + 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 8 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 2,000 N'(t) 5t + 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 8 days after vaccination. Round to 2 decimal places. thousand antibodies

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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A medical researcher believes that the human immune system produces antibodies to a particular vaccine at the rate of 2,000 N'(t) 5t + 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 8 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 2,000 N'(t) 5t + 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 8 days after vaccination. Round to 2 decimal places. thousand antibodies
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