'Shell method' diaporamas de présentation

Section 6.1 Volumes By Slicing and Rotation About an Axis

Section 6.1 Volumes By Slicing and Rotation About an Axis. Generalized Cylinder. A cylinder is a solid that is generated when a plane region is translated along a line or axis that is perpendicular to the region.

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APPLICATIONS OF INTEGRATION

6. APPLICATIONS OF INTEGRATION. APPLICATIONS OF INTEGRATION. 6.3 Volumes by Cylindrical Shells. In this section, we will learn: How to apply the method of cylindrical shells to find out the volume of a solid. VOLUMES BY CYLINDRICAL SHELLS. Some volume problems are very

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APPLICATIONS OF INTEGRATION

6. APPLICATIONS OF INTEGRATION. APPLICATIONS OF INTEGRATION. 6.3 Volumes by Cylindrical Shells. In this section, we will learn: How to apply the method of cylindrical shells to find out the volume of a solid. VOLUMES BY CYLINDRICAL SHELLS. Some volume problems are very

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APPLICATIONS OF INTEGRATION

6. APPLICATIONS OF INTEGRATION. APPLICATIONS OF INTEGRATION. 6.3 Volumes by Cylindrical Shells. In this section, we will learn: How to apply the method of cylindrical shells to find out the volume of a solid. VOLUMES BY CYLINDRICAL SHELLS. Some volume problems are very

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Volumes of Solids of Revolution

Volumes of Solids of Revolution. Questions involving the area of a region between curves, and the volume of a solid formed when this region is rotated about a horizontal or vertical line, appear regularly on both the AP Calculus AB and BC exams.

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Aim: How do we find volume using the Shell Method?

Aim: How do we find volume using the Shell Method?. Do Now:. Find the volume of the solid that results when the region bounded by x = y 3 and x = y 2 from y = 0 to y = 1 is revolved about the y -axis. h. h. w. Axis of Revolution. p. p. The Shell Revolution. h. w.

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Volume: The Shell Method

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Using Inegrals to Compute Volumes

Using Inegrals to Compute Volumes. S. Ellermeyer. General Principle. Example 1. Find the volume of a sphere of radius R. Example 2. Find the volume of a pyramid with square base of side length b and height h. Volumes of Solids of Revolution.

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Volumes of Revolution The Shell Method

Volumes of Revolution The Shell Method. Lesson 7.3. Shell Method. Based on finding volume of cylindrical shells Add these volumes to get the total volume Dimensions of the shell Radius of the shell Thickness of the shell Height. The Shell.

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Greg Kelly, Hanford High School, Richland, Washington

Photo by Vickie Kelly, 2006. Greg Kelly, Hanford High School, Richland, Washington. 7.3 day 3. The Shell Method. Grows to over 12 feet wide and lives 100 years. Japanese Spider Crab Georgia Aquarium, Atlanta.

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Volumes by Rotations

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6.3 Shell Method

6.3 Shell Method. HW pg 432 2-10, 14 (even). Find the volume of the region bounded by , , and revolved about the y -axis. We can use the washer method if we split it into two parts:. cylinder. inner radius. outer radius. thickness of slice.

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Volumes of Solids of Revolution: Shell Method

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University of Memphis Dept Mathematical Sciences Honors Mathematics II Spring 2012 Dwiggins

y. x. University of Memphis Dept Mathematical Sciences Honors Mathematics II Spring 2012 Dwiggins. TEST # 2 Techniques and Applications of Integral Calculus. Give the values of the slope at the point where the curve crosses itself. Honors Math II. Test # 2. page two.

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5.3 Volumes of Revolution: Shell Method

5.3 Volumes of Revolution: Shell Method. Remember, in the Disk Method we place the typical element perpendicular to the axis of rotation. Now, for the Shell Method , we place the typical element parallel to the axis of rotation. When we rotate it, it produces a cylindrical shell.

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