Mathematics, 26.10.2020 17:10 caggh345
Calculate by double integration the area of the bounded region determined by the given pairs of curves. g
Answers: 2
"
![= \int^4_{-2} [\frac{x+4}{4} - \frac{x^2}{8}] \ \ dx \\\\= \int^4_{-2} \frac{x+4}{4} \ dx - \int^4_{-2} \frac{x^2}{8} \ dx \\\\ = \frac{1}{4} \int^4_{-2} (x+4) \ dx- \frac{1}{8} \int^4_{-2} x^2 \ dx\\\\ = \frac{1}{4} (\frac {x^2}{2}+4x)^{4}_{-2}- \frac{1}{8} (\frac{x^3}{3})^{4}_{-2} \ dx\\\\ = \frac{1}{4} [(\frac {x^2}{2}+4x)^{4}_{-2}- \frac{1}{2} (\frac{x^3}{3})^{4}_{-2}] \ dx\\\\ = \frac{1}{4} [(\frac {x^2}{2}+4x- \frac{x^3}{6})^{4}_{-2}] \ dx\\\\= \frac{9}{2}\\](/tpl/images/0840/3865/4e77b.png)
Another question on Mathematics
Mathematics, 21.06.2019 16:50
The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60
Answers: 1
Mathematics, 21.06.2019 17:00
Pam buys a sleeve of ball bearings for her skateboard. each of the bearings is 1 1/5 inches wide. the sleeve is 9 3/5 inches long. how many ball bearings are in the sleeve? show your work.
Answers: 3
Mathematics, 22.06.2019 00:30
What is the mean of the data set 125, 141, 213, 155, 281
Answers: 2
You know the right answer?
Calculate by double integration the area of the bounded region determined by the given pairs of curv...
Questions
Mathematics, 17.12.2019 23:31
Mathematics, 17.12.2019 23:31
Chemistry, 17.12.2019 23:31
English, 17.12.2019 23:31
Mathematics, 17.12.2019 23:31
Health, 17.12.2019 23:31
Mathematics, 17.12.2019 23:31
History, 17.12.2019 23:31
Biology, 17.12.2019 23:31
History, 17.12.2019 23:31
Biology, 17.12.2019 23:31
