Find the Volume Under the Paraboloid $z = x ^ { 2 } + y ^ { 2 }$

question 58

Multiple Choice

Find the volume under the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ above the region bounded by the x-axis, the y-axis, and the line x + y = 1.

• A) \(\frac { 1 } { 6 }\)
• B) \(\frac { 1 } { 4 }\)
• C) \(\frac { 1 } { 3 }\)
• D) \(\frac { 1 } { 2 }\)
• E) \(\frac { 2 } { 3 }\)
• F) \(\frac { 3 } { 4 }\)
• G) \(\frac { 5 } { 6 }\)
• H)1

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