Question 1
Evaluate
, where T is the triangle in the xy-plane bounded by the coordinate axes and the line x + y = 1, by interpreting the double integral as a known volume.
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Question 2
Evaluate
, where R is the rectangle 0 ≤ x ≤ 5, 2 ≤ y ≤ 10, by interpreting the double integral as a known volume.
◦ 20
◦ 75
◦ 100
◦ 50
◦ 25