'Disk method' presentation slideshows

A Real Use For Taking an Integral

Finding the Area and the Volume of portions under curves. . A Real Use For Taking an Integral. Area under a SINGLE curve. Normally, to find the area under a single curve, you could use Riemann's sums. However our way is faster and less aggravating.

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Section 6.2: Volumes

Section 6.2: Volumes. Practice HW from Stewart Textbook (not to hand in) p. 457 # 1-13 odd. Solids of Revolution. In this section, we want to examine how to find the volume of a solid of revolution, which is formed by rotating a region in a plane about a line.

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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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6.3 Volumes of Revolution Mon March 10

6.3 Volumes of Revolution Mon March 10. Do Now The volume of the solid whose base is the region enclosed by y = x^2 and y = 3, and whose cross sections perpendicular to the y-axis are rectangles of height y^3. Solid of revolution.

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Applications of Integration

Applications of Integration. Hanna Kim & Agatha Wuh Block A. Disk Method Intro. Disk Method is in many ways similar to cutting a rollcake into infinitely thin pieces and adding all of them together to find out the volume of the whole. Delving into Disk Method. Disk = right cylinder

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Finding Volumes Disk/Washer/Shell

Finding Volumes Disk/Washer/Shell. Chapter 6.2 & 6.3 February 27, 2007. Review of Area: Measuring a length. Vertical Cut:. Horizontal Cut:. Disk Method. Slices are perpendicular to the axis of rotation. Radius is a function of position on that axis.

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Lesson Notes 6.5

Lesson Notes 6.5. Disks, Washers and Shells* * BC Topic. Greg Kelly, Hanford High School, Richland, Washington. Example #1 Suppose you start with this curve. Your boss at the ACME Rocket Company has assigned you to build a nose cone in this shape.

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Greg Kelly, Hanford High School, Richland, Washington

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. 7.3 day 2. Disks, Washers and Shells. Limerick Nuclear Generating Station, Pottstown, Pennsylvania. Suppose I start with this curve.

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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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7.2 Volume: The Disk Method

7.2 Volume: The Disk Method. Example. Suppose I start with this curve. Rotate the curve about the x-axis to obtain a nose cone in this shape. How could we find the volume of this cone?. The volume of each flat cylinder (disk) is:.

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Csci 2111: Data and File Structures Week3, Lecture 1 & 2

Csci 2111: Data and File Structures Week3, Lecture 1 & 2. Secondary Storage and System Software: CD-ROM & Issues in Data Management. Overview. CD-ROM (Compact Disk, Read-Only Memory) A Journey of a Byte Buffer Management I/O in Unix. Introduction to CD-ROM.

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Greg Kelly, Hanford High School, Richland, Washington

Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. 7.3 day 2. Disk and Washer Methods. Limerick Nuclear Generating Station, Pottstown, Pennsylvania. Suppose I start with this curve.

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Applying Volume Methods: Coconut and Pineapple

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Warm Up

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AP Calculus AB

AP Calculus AB. Day 3 Section 7.2. 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:. width. radius. Vertical Axis of revolution:.

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Miss Battaglia AP Calculus

7-3 Volume: The Shell Method Objective: Find the volume of a solid of revolution using the Shell method. Compare to the disk method. Miss Battaglia AP Calculus. The Shell Method. Alternative to finding volume of a solid of revolution.

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Volume

Volume. Claudine Cho Period 1 November 9, 2009 . Washer Method. Find the volume of y= X^2, y=4 revolved around the x-axis Cross sections are circular washers Thickness of the washer is xsub2-xsub1 Step 1) Find the thickness.

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VOLUME BY DISK or disc

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Aim: How do we find the volume by disk method?

Aim: How do we find the volume by disk method?. Do Now: Find the area of R. 2. Set up integral. 3. compute. 1. dy or dx ?. R. 3. Find the volume of solid formed by revolving R about x -axis. Find the area of the cross-section that is a disk. R. r. 3. To find the volume,

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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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