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Use Polar Coordinates to Find the Volume of the Solid z=x2+y2z = x ^ { 2 } + y ^ { 2 }

question 145

Short Answer

Use polar coordinates to find the volume of the solid under the paraboloid z=x2+y2z = x ^ { 2 } + y ^ { 2 } and above the disk x2+y24x ^ { 2 } + y ^ { 2 } \leq 4 .

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Definitions:

ESP

Extrasensory perception, a claimed ability to gain information through means other than the known human senses.

Fraudulent

Acts intentionally deceptive made for personal gain or to harm another individual.

Scientific Test

A methodical procedure carried out with the aim of verifying, falsifying, or establishing the validity of a hypothesis.

Telepathy

The supposed communication of thoughts or ideas through means other than the known senses, considered pseudoscience by mainstream science.

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