72, the sentence is 82 - 10 = 72
Answer:
the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
![\frac{\pi }{2} [e^2 - 1 ]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%20%5Be%5E2%20-%201%20%5D)
or 10.036
Step-by-step explanation:
Given the data in the question;
y = 
, y = 0, x = 1, x = 2.
Now, using the integration capabilities of a graphing utility
y = 
, y = 0
Volume = 
Volume = 
Volume = 
Volume = 
Volume = ![\frac{\pi }{e^2} [\frac{e^{2x}}{2}]^2_1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7Be%5E2%7D%20%20%5B%5Cfrac%7Be%5E%7B2x%7D%7D%7B2%7D%5D%5E2_1)
Volume = ![\frac{\pi }{2e^2} [e^4 - e^2 ]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2e%5E2%7D%20%20%5Be%5E4%20-%20e%5E2%20%5D)
Volume = or 10.036
Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
or 10.036
Answer:
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Step-by-step explanation:
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Answer:
1600
growth
4%
Step-by-step explanation:
To solve this question, you must know what the equation really means.
P = population
t = time
1600 = initial population size
1.04 = is the percentage growth, (growth because it is greater than 1.)
So, the initial population size is 1600.
It is growth because the percentage is greater than 1.
(1.04 = 104%, 104%-100%=4%)
The population changes by 4%
