83. E. coli Growth A strain of E. coli Beu 397-recA441 is placed into a nutrient broth at 30 ° Celsius and allowed to grow. The data shown in the table 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 can say that population is a function of time. Thus P(t) represents the population at time t . (a) Find the average rate of change of the population from 0 to 2.5 hours. (b) Find the average rate of change of the population from 4.5 to 6 hours. (c) What is happening to the average rate of change as time passes?
83. E. coli Growth A strain of E. coli Beu 397-recA441 is placed into a nutrient broth at 30 ° Celsius and allowed to grow. The data shown in the table 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 can say that population is a function of time. Thus P(t) represents the population at time t . (a) Find the average rate of change of the population from 0 to 2.5 hours. (b) Find the average rate of change of the population from 4.5 to 6 hours. (c) What is happening to the average rate of change as time passes?
Solution Summary: The author explains how the average rate of change of the population from 0 to 2.5 hours is 0.036.
83. E. coli Growth A strain of E. coli Beu 397-recA441 is placed into a nutrient broth at
Celsius and allowed to grow. The data shown in the table 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 can say that population is a function of time. Thus P(t) represents the population at time t.
(a) Find the average rate of change of the population from 0 to 2.5 hours.
(b) Find the average rate of change of the population from 4.5 to 6 hours.
(c) What is happening to the average rate of change as time passes?
The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value of f(-1)?
y
87 19
6
LO
5
4
3
1
Graph of f'
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4 5
6
7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
564%
Let f(x)=−7e^xsinxf'(x)=
Find dydx for y=tan(5x)/7e3x.dy/dx =
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities Plus MyLab Math with Pearson eText - Access Card Package (7th Edition) (Sullivan & Sullivan Precalculus Titles)
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