Math Battle [ 0001_michaela_2: Solids created by rotation ]

[ 0001_michaela_2: Solids created by rotation ]


1. Disk Method

 a. x = sqrt(9 - y^2), y = 1, y = 3, x = 1 (about X-axis)
 
2. Circular Rings/Washer Method

 a. y = 2*sqrt(x) (about Y-axis), y = 4 (about X-axis)

 
2. Cylindrical Method

 a. y = 1 + x^3, x = 1, y = 9 (about X-axis)

 
2. Cylindrical Method

 b. y = x^2, y = 4*x - x^2 (about line x = 4)

 

[ Half angle identities and others ]

[ Solids created by rotation ]

[ Areas bounded ]

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