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a) Evaluate the double integral MGUTM GUTN UTM 1 1-(x–1)² UTMO dydr. x² + y² b) Find the mass of the solid G in the first octant bounded by the planes UTM UTM UT y = x,x = 0, z = 0 and by the surface y? + 2² = 1 with a density function 8(x, y, z) = yz. %3D UTM

a) Evaluate the double integral MGUTM GUTN UTM 1 1-(x–1)² UTMO dydr. x² + y² b) Find the mass of the solid G in the first octant bounded by the planes UTM UTM UT y = x,x = 0, z = 0 and by the surface y? + 2² = 1 with a density function 8(x, y, z) = yz. %3D UTM

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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function 8(x, y, 2) = yz. QUESTION 2 UTM L M a) Evaluate the double integral UTM GUTM 6 UTM UTM 1 6 UTM UTM UTM b) Find the mass of the solid G in the first octant bounded by the planes O and by the surface y? + z² = 1 with a density UTMO dydx. x² + y? UTM y = x, x = 0, z function 8(x, y, z) = yz. %3D c) Use spherical coordinate to evaluate UTM UTM V 1²+y? x² + y² + z² dz dy d.x. UTM UTM TM GUTM UTM
Transcribed Image Text:function 8(x, y, 2) = yz. QUESTION 2 UTM L M a) Evaluate the double integral UTM GUTM 6 UTM UTM 1 6 UTM UTM UTM b) Find the mass of the solid G in the first octant bounded by the planes O and by the surface y? + z² = 1 with a density UTMO dydx. x² + y? UTM y = x, x = 0, z function 8(x, y, z) = yz. %3D c) Use spherical coordinate to evaluate UTM UTM V 1²+y? x² + y² + z² dz dy d.x. UTM UTM TM GUTM UTM
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