Find the double integral ff (x² + y² do, over R={(x, y):-1≤ x ≤ 1,0 ≤ y ≤ 2}. 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the double integral |[(r* + y* \do, over R={(x,y):-1<x<1,0< y< 2}.
1.
2.
Find the volume of the prism whose base is the triangle in the xy-plane bounded by the
x-axis and the lines y = x and x = I and whose top lies in the plane
z = f(x, y) = 3 – x - y.
3.
Find the volume of the solid bounded by:
The plane z = 0, the paraboloid z = 1 –
2 2
-x -y
JJI xdxdydz,
Caculate 2
4.
Where
is bounded by xoy-plane, xoz-plane,yoz-
x + 2y + z = 1
plane and
Transcribed Image Text:Find the double integral |[(r* + y* \do, over R={(x,y):-1<x<1,0< y< 2}. 1. 2. Find the volume of the prism whose base is the triangle in the xy-plane bounded by the x-axis and the lines y = x and x = I and whose top lies in the plane z = f(x, y) = 3 – x - y. 3. Find the volume of the solid bounded by: The plane z = 0, the paraboloid z = 1 – 2 2 -x -y JJI xdxdydz, Caculate 2 4. Where is bounded by xoy-plane, xoz-plane,yoz- x + 2y + z = 1 plane and
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