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Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabola y-4-x² and the line y=-3x, while the top of the solid is bounded by the plane z = x +9 The volume is units³ (Type an integer or a simplified fraction.)

Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabola y-4-x² and the line y=-3x, while the top of the solid is bounded by the plane z = x +9 The volume is units³ (Type an integer or a simplified fraction.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabola y=4-x² and the line y=-3x, while the top of the solid is bounded by the plane z=x+9 The volume is units3 (Type an integer or a simplified fraction.)
Transcribed Image Text:Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabola y=4-x² and the line y=-3x, while the top of the solid is bounded by the plane z=x+9 The volume is units3 (Type an integer or a simplified fraction.)
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