Mathematics, 07.05.2020 14:59 emmadivaburnsox7ae9
Let W be the region bounded by z=100−y^2, y=10x^2, and the plane z=0. Calculate the volume of W as a triple integral in the order dzdydx. (Give your answer in exact form. Use symbolic notation and fractions where needed.)
Answers: 2
) intersect is 
![W= \int\limits^{1}_{-1} \int\limits^{10}_{10x^2} [z] \left | {100-y^2} \atop {0}} \right. {dx dy } \,](/tpl/images/0652/4528/bcb7d.png)
![W = \int\limits^{1}_{-1} \int\limits^{10}_{10x^2} [100 -y^2] {dx dy } \,](/tpl/images/0652/4528/79d69.png)
![W = \int\limits^{1}_{-1} [100y - \frac{y^3}{3} ] \left | 10} \atop {10x^2}} \right. {dx } \,](/tpl/images/0652/4528/1b753.png)
![W = \int\limits^{1}_{-1} [([100(10) ]- 100(10x^2) ) - [ (\frac{10^3}{3}) - (\frac{(10x^2)^3}{3} ) ]] {dx } \,](/tpl/images/0652/4528/fec6d.png)
![W = \int\limits^{1}_{-1} [([1000 - 1000x^2 ) - [ (\frac{10^3}{3}) - (\frac{(10x^2)^3}{3} ) ]] {dx } \,](/tpl/images/0652/4528/9395b.png)
![W = [([1000x - \frac{1000x^3}{3} ) - [ (\frac{10^3}{3}) x- (\frac{(10x^7)}{21} ) ]] \left | 1} \atop {-1}} \right.](/tpl/images/0652/4528/1dc87.png)
![W = [([1000(1) - \frac{1000(1)^3}{3} ) - [ (\frac{10^3}{3}) (1)- (\frac{(10(1)^7)}{21} ) ]]-](/tpl/images/0652/4528/26777.png)
![[([1000(-1) - \frac{1000(-1)^3}{3} ) - [ (\frac{10^3}{3}) (-1)- (\frac{(10(-1)^7)}{21} ) ]]](/tpl/images/0652/4528/96dec.png)
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Let W be the region bounded by z=100−y^2, y=10x^2, and the plane z=0. Calculate the volume of W as a...
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