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28.11.2019 •
Mathematics
Find the volume of the solid that lies under the hyperbolic paraboloid z = 19 + x2 − y2 and above the rectangle. r = [−2, 2] × [0, 4].
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Ответ:
44 cubic units
Step-by-step explanation:
we are given that a solid lies under the hyperbolic paraboloid
and above the rectangle. R = [−2, 2] × [0, 4].
Thus we see in xy plane x varies from -2 to 0, y varies from 2 to 4 while z varies from 0 to![19 + x^2 - y^2](/tpl/images/0394/5359/44fa9.png)
To find volume we use triple integrals.
Using triple integral we find volume of the solid is equal to 44 cubic units.
Ответ:
11 more cups of flour is needed.
Step-by-step explanation: 234 - 223 = 11