A strain of bacteria is placed into a nutrient broth at 30° Time (hr), t Population (g), P C and allowed to grow. The data shown to the right are collected. The population is measured in grams and the time in hours. Since population P depends on time t and each input corresponds to exactly one output, we say that population is a function of time; so P(t) represents the population at time t. 0 NM 50 50 2.5 3.5 4.5 6 (a) Find the average rate of change of the population from 0 to 2.5 hours. On average, the population is increasing at a rate of (Round to 3 decimal places as needed.) 0.02 0.18 0.23 0.35 0.51 gram per hour from 0 to 2.5 hours.

A strain of bacteria is placed into a nutrient broth at 30° Time (hr), t Population (g), P C and allowed to grow. The data shown to the right are collected. The population is measured in grams and the time in hours. Since population P depends on time t and each input corresponds to exactly one output, we say that population is a function of time; so P(t) represents the population at time t. 0 NM 50 50 2.5 3.5 4.5 6 (a) Find the average rate of change of the population from 0 to 2.5 hours. On average, the population is increasing at a rate of (Round to 3 decimal places as needed.) 0.02 0.18 0.23 0.35 0.51 gram per hour from 0 to 2.5 hours.

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

100%

A strain of bacteria is placed into a nutrient broth at 30° Time (hr), t Population (g), P
C and allowed to grow. The data shown to the right are
collected. The population is measured in grams and the
time in hours. Since population P depends on time t and
each input corresponds to exactly one output, we say
that population is a function of time; so P(t) represents
the population at time t.
0
NM
50 50
2.5
3.5
4.5
6
(a) Find the average rate of change of the population from 0 to 2.5 hours.
On average, the population is increasing at a rate of
(Round to 3 decimal places as needed.)
0.02
0.18
0.23
0.35
0.51
gram per hour from 0 to 2.5 hours.

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A strain of bacteria is placed into a nutrient broth at 30°
C and allowed to grow. The data shown to the right are
collected. The population is measured in grams and the
time in hours. Since population P depends on time t and
each input corresponds to exactly one output, we say
that population is a function of time; so P(t) represents
the population at time t.
Time (hr), t Population (g), P
0
2.5
3.5
4.5
6
On average, the population is increasing at a rate of
(Round to 3 decimal places as needed.)
0.02
0.18
0.23
0.35
0.51
(a) Find the average rate of change of the population from 0 to 2.5 hours.
On average, the population is increasing at a rate of 0.064 gram per hour from 0 to 2.5 hours.
(Round to 3 decimal places as needed.)
(b) Find the average rate of change of the population from 4.5 to 6 hours.
gram per hour from 4.5 to 6 hours.

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