9.3: Finding Volume with the Disk Method

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Presentation transcript:

9.3: Finding Volume with the Disk Method Calculus 9.3: Finding Volume with the Disk Method We push it to the limits

Find the region enclosed by y=2x from the Warm-up Find the region enclosed by y=2x from the interval x=0 to x=3

Here is an idea of what I am talking about. Today we will be rotating functions around lines and finding the volume of those rotations. Here is an idea of what I am talking about.

2. The function is the radius Steps for Disk Method 1. Draw a pic (if it helps) 2. The function is the radius 3. plug into the equation . 4. Evaluate

Find the volume of the region enclosed by y=x-1, y=0 and x=3 and rotated around the x-axis

Find the volume of the region enclosed by , y=2, y=5, x=0 and rotated around the y-axis