Estimate the Volume of the Solid That Lies Above the Square

question 148

Short Answer

Estimate the volume of the solid that lies above the square $R = [ 0,4 ] \times [ 0,4 ]$ and below the elliptic paraboloid $f ( x , y ) = 68 - x ^ { 2 } - y ^ { 2 }$ .
Divide $R$ into four equal squares and use the Midpoint rule.

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Definitions:

Vacuum Tubes

Electronic devices that control the flow of electrons through a vacuum, used in early radios, televisions, and computers before the advent of semiconductor devices.

Integrated Circuits

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Transistors

Semiconductor devices used to amplify or switch electronic signals and electrical power, fundamental components of modern electronic devices.

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A software application for accessing information on the World Wide Web, displaying web pages and handling web-based interaction.