Example 4 on http://tutorial.math.lamar.edu/Classes/CalcIII/DIPolarCoords.aspx Why is this correct? How does subtracting the volume under z = 16 from the volume under z = x^2 + y^2 on a specific radius give us the desired volume?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Example 4 on http://tutorial.math.lamar.edu/Classes/CalcIII/DIPolarCoords.aspx Why is this correct? How does subtracting the volume under z = 16 from the volume under z = x^2 + y^2 on a specific radius give us the desired volume?

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

Sorry dude the link doesn't work....
Is this Calc 3?
Sorry, I fixed it now. Yes it is.

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Wow... I am sorry I can't help. I just started Calculus - I am only in tenth grade. Sorry.
No problem :)
you're looking for the volume of the paraboloid itself, ie the volume inside that solid but the normal double integral of the function f, ie\( \iint f(x,y) \ dA \) will give you the volume under the pataboloid, ie the volume from the xy plane upwards
handily, though, that volume it does give you can be subtracted from the volume of the cylinder to get the inside volume. and by cylinder i mean the volume under the plane \(z = 16\) within the region \(16 = x^2 + y^2\)
  • phi
In 2D they are doing this |dw:1440248565912:dw| that is the integral under the curve f(x)
  • phi
but if we want the area (or in 3D, the volume) of the "inside" |dw:1440248674950:dw|
  • phi
then we find the area of the enclosing rectangle (cylinder in 3D) and subtract off the area of f(x) |dw:1440248748282:dw|

Not the answer you are looking for?

Search for more explanations.

Ask your own question