2yx²+11. Calculate the double integral in a general region where z =0, x= 1, y = 0, y = √x2. Calculate the double integral in a region where z = x + y bounded by y =√x and y = x²3. Find the volume bounded by 3x+2y+z=12 bounded by x=0, y=0, z=04. Find the volume of a tetrahedron enclosed by 2x+y+z=4 and the coordinateplanes.5. Find the volume of a solid bounded by x² + y² = 4, z = 1, z = 9 - 3x – 2y usingtriple integration.-bounded by x =

Answered: 2y Calculate the double integral in a…

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2y Calculate the double integral in a general region where z = x² +1 0, x= 1, y = 0, y = √√x bounded by x=

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 7E

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Question

2y
x²+1
1. Calculate the double integral in a general region where z =
0, x= 1, y = 0, y = √x
2. Calculate the double integral in a region where z = x + y bounded by y =
√x and y = x²
3. Find the volume bounded by 3x+2y+z=12 bounded by x=0, y=0, z=0
4. Find the volume of a tetrahedron enclosed by 2x+y+z=4 and the coordinate
planes.
5. Find the volume of a solid bounded by x² + y² = 4, z = 1, z = 9 - 3x – 2y using
triple integration.
-bounded by x =

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