1) A culture of cells is placed in a petri dish and is allowed to grow. The population of cells is given by the function P(t) = for t≥ 0 days. 1500 1+6e-0.02t, a) What is the average growth rate during the first 10 days? Show clear set-up before using your calculator/Desmos. Round answer to the nearest hundredths (to two decimal places). Include units in your answer. b) Give an expression involving limits for the population growth rate (how fast the population is growing) on the 10th day. Then use this expression to NUMERICALLY APPROXIMATE the population growth rate on the 10th day. Make a table of values to support your approximation of this growth rate. Make sure your table of values has clear headings so that the reader knows what the values in each column of your table represent and make sure you have sufficient numbers in your table to support your conclusion.
1) A culture of cells is placed in a petri dish and is allowed to grow. The population of cells is given by the function P(t) = for t≥ 0 days. 1500 1+6e-0.02t, a) What is the average growth rate during the first 10 days? Show clear set-up before using your calculator/Desmos. Round answer to the nearest hundredths (to two decimal places). Include units in your answer. b) Give an expression involving limits for the population growth rate (how fast the population is growing) on the 10th day. Then use this expression to NUMERICALLY APPROXIMATE the population growth rate on the 10th day. Make a table of values to support your approximation of this growth rate. Make sure your table of values has clear headings so that the reader knows what the values in each column of your table represent and make sure you have sufficient numbers in your table to support your conclusion.
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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Question
Answer only part b
Transcribed Image Text:1) A culture of cells is placed in a petri dish and is allowed to grow. The population of
cells is given by the function P(t)
for t≥ 0 days.
1500
1+6e-0.02t
=
a) What is the average growth rate during the first 10 days? Show clear set-up before
using your calculator/Desmos. Round answer to the nearest hundredths (to two
decimal places). Include units in your answer.
b) Give an expression involving limits for the population growth rate (how fast the
population is growing) on the 10th day. Then use this expression to NUMERICALLY
APPROXIMATE the population growth rate on the 10th day. Make a table of values
to support your approximation of this growth rate. Make sure your table of values
has clear headings so that the reader knows what the values in each column of your
table represent and make sure you have sufficient numbers in your table to support
your conclusion.
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