Answer:
Area = 10025.66 square units
Step-by-step explanation:
We are given the following in the question:
The birth rate of a population:
The death rate of a population:
The area between the curve for 0 ≤ t ≤ 10, is given by:
![\displaystyle\int_0^{10}b(t) - d(t)~ dt\\\\\displaystyle\int_0^{10} 2300e^{0.024t}-1450e^{0.019t}~dt\\\\= \Bigg[\frac{2300e^{0.024t}}{0.024}\Bigg]_0^{10}-\Bigg[\frac{1450e^{0.019t}}{0.019}\Bigg]_0^{10}\\\\= \Bigg[\frac{2300e^{0.24}}{0.024}-\frac{1450e^{0.19}}{0.019}\Bigg]-\Bigg[\frac{2300}{0.024}-\frac{1450}{0.019}\Bigg]\\\\= 29543.2058565 - 19517.5438596 \approx 10025.6](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_0%5E%7B10%7Db%28t%29%20-%20d%28t%29~%20dt%5C%5C%5C%5C%5Cdisplaystyle%5Cint_0%5E%7B10%7D%202300e%5E%7B0.024t%7D-1450e%5E%7B0.019t%7D~dt%5C%5C%5C%5C%3D%20%5CBigg%5B%5Cfrac%7B2300e%5E%7B0.024t%7D%7D%7B0.024%7D%5CBigg%5D_0%5E%7B10%7D-%5CBigg%5B%5Cfrac%7B1450e%5E%7B0.019t%7D%7D%7B0.019%7D%5CBigg%5D_0%5E%7B10%7D%5C%5C%5C%5C%3D%20%5CBigg%5B%5Cfrac%7B2300e%5E%7B0.24%7D%7D%7B0.024%7D-%5Cfrac%7B1450e%5E%7B0.19%7D%7D%7B0.019%7D%5CBigg%5D-%5CBigg%5B%5Cfrac%7B2300%7D%7B0.024%7D-%5Cfrac%7B1450%7D%7B0.019%7D%5CBigg%5D%5C%5C%5C%5C%3D%2029543.2058565%20-%2019517.5438596%20%5Capprox%2010025.6)
Product of 4 and a number translates to 4x because the word product means multiplication.
We then need to subtract one from that which would be 4x - 1.
The word is translates to "equals" so 4x - 1 = 11 is the translation of the whole problem.
Now solve that equation.
4x - 1 = 11
1st add +1 +1
2nd simplify 4x = 12
3rd divide. 4 4
x = 3
-32.48-(14.014)
- (32.48 + 14.014)
add 32.48 +14.014 by lining up the decimal
32.48
+ 14.014
------------
46.494
then bring back the negative
-(46.494)
Answer: -46.494
Answer:
=5
Step-by-step explanation:
4-9= -5
2-3 = -1
=5
.....
8x^2*3xy
24x^3y I believe. Sorry if I’m a little rusty
