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].

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

To find volume we use triple integrals.

Using triple integral we find volume of the solid is equal to 44 cubic units.

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step-by-step explanation:

step-by-step explanation: