AP Calculus AB Day 3 Section 7.2 5/7/2019 Perkins.

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Presentation transcript:

AP Calculus AB Day 3 Section 7.2 5/7/2019 Perkins

Revolve this rectangle about the x-axis. Forms a Disk. Revolve this function about the x-axis.

Disk Method (to find the volume of a solid of revolution) Horizontal Axis of revolution: radius width Vertical Axis of revolution:

1. Find the volume of the solid formed by 1. Find the volume of the solid formed by revolving f(x) over about the x-axis.

2. Find the volume of the solid formed by revolving the 2. Find the volume of the solid formed by revolving the region formed by f(x) and g(x) about y = 1. Length of Rectangle:

3. Find the volume of the solid formed by 3. Find the volume of the solid formed by revolving the region formed by over about the y-axis.

AP Calculus AB Day 3 Section 7.2 Perkins

Revolve this rectangle about the x-axis. Revolve this function about the x-axis.

Disk Method (to find the volume of a solid of revolution) Horizontal Axis of revolution: Vertical Axis of revolution:

1. Find the volume of the solid formed by 1. Find the volume of the solid formed by revolving f(x) over about the x-axis.

2. Find the volume of the solid formed by revolving the 2. Find the volume of the solid formed by revolving the region formed by f(x) and g(x) about y = 1.

3. Find the volume of the solid formed by 3. Find the volume of the solid formed by revolving the region formed by over about the y-axis.