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Joosee4075
16.08.2020 •
Mathematics
Determine the equation of the line shown in the graph: 3O POINTS PLS HELP ASAP! graph of a vertical line with an x intercept of negative 1 y = −1 y = 0 x = −1 x = 0
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Ответ:
Step-by-step explanation:
Hey there!
Well a vertical line means it starts with x =,
Whereas a horizontal line starts as y =.
So if the x intercept is at -1 then the equation is x= -1.
Hope this helps :)
Ответ:
Volume =
cubic units
Step-by-step explanation: Given the equation find the limits:
For z:
8x + y + z = 4
z = 4 - 8x - y
limits 0 < z < 4-8x-y
For y:
4 - 8x - y = 0
y = 4 - 8x
limits: 0 < y < 4-8x
For x:
4 - 8x = 0
x = 1/2
limits: 0 < x < 1/2
Calculating triple integral and determining volume:
V =![\int\ {\int\ {\int\ {} \, dz } \, dy } \, dx](/tpl/images/0722/8494/8df82.png)
V =![\int\ {\int\ {z} \, dy } \, dx](/tpl/images/0722/8494/fe4d1.png)
V =![\int\ {\int\ (4-8x-y)-0 \, dy } \, dx](/tpl/images/0722/8494/83154.png)
V =![\int\ { (4y-8xy-\frac{y^{2}}{2} ) } \, dx](/tpl/images/0722/8494/c878c.png)
V =![\int\limits^a_0 {4(4-8x)-8x(4-8x)-\frac{(4-8x)^{2}}{2} - 0 } \, dx](/tpl/images/0722/8494/08846.png)
V =![\int\limits^a_0 {8+32x-32x^{2} } \, dx](/tpl/images/0722/8494/35414.png)
V =![8x+16x^{2}-\frac{32}{3}x^{3}](/tpl/images/0722/8494/44d6f.png)
V =![8(\frac{1}{2} )+16(\frac{1}{2})^{2} -\frac{32}{3}(\frac{1}{2}) ^{3}](/tpl/images/0722/8494/1ea9b.png)
V =![\frac{20}{3}](/tpl/images/0722/8494/e3023.png)
Volume of the solid is V =
cubic units.