Mathematics, 01.12.2020 17:00 dmc79765

Find the volume of the solid bounded by: • x = 0, y = 0, z = 0 and 3x + 2y + z = 6
• x 2 + y 2 = 1, z = 0, z = x + 1
• z = x^2 + 2y^2 , z = 12 − 2x^2 − y^2
• z = 2x + 3y, z = 0, y = x^2 , y = x^3
• z = 25 − x^2 − y^2 and the triangle in the xy-plane with vertices (−3, −4), (−3, 4) and (5, 0)
• z = 10 + 2x + 3y, r = sin θ
• z = r^2 , r = 2a sin(θ), z = 0

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Find the volume of the solid bounded by: • x = 0, y = 0, z = 0 and 3x + 2y + z = 6
• x 2 + y...