AP Calculus Honors Ms. Olifer

Slides:

Advertisements

Similar presentations

- Volumes of a Solid The volumes of solid that can be cut into thin slices, where the volumes can be interpreted as a definite integral.

Advertisements

Section Volumes by Slicing

Volumes. Right Cylinder Volume of a Right Cylinder (Slices) Cross section is a right circular cylinder with volume Also obtained as a solid of revolution.

A Review Game A Review Game. Area between CurvesArea between Curves Volumes by SlicingVolumes by Slicing Volumes of Revolution Disk/Washer Cylindrical.

7.3 Volumes Quick Review What you’ll learn about Volumes As an Integral Square Cross Sections Circular Cross Sections Cylindrical Shells Other Cross.

Volume: The Shell Method Lesson 7.3. Find the volume generated when this shape is revolved about the y axis. We can’t solve for x, so we can’t use a horizontal.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 1.

MTH 252 Integral Calculus Chapter 7 – Applications of the Definite Integral Section 7.3 – Volumes by Cylindrical Shells Copyright © 2006 by Ron Wallace,

Application of integration. G.K. BHARAD INSTITUTE OF ENGINEERING Prepared by :- (1) Shingala nital (2) Paghdal Radhika (3) Bopaliya Mamata.

7.3.3 Volume by Cross-sectional Areas A.K.A. - Slicing.

Warm Up. Volume of Solids - 8.3A Big Idea Just like we estimate area by drawing rectangles, we can estimate volume by cutting the shape into slices,

Volumes Lesson 6.2.

Volume Find the area of a random cross section, then integrate it.

Volumes 7.3. Finding Volume Using the Cross Section Think of a cross section as a thin slice of the object. For Example:

Overview Basic Guidelines Slicing –Circles –Squares –Diamonds –Triangles Revolving Cylindrical Shells.

Calculus 6-R Unit 6 Applications of Integration Review Problems.

The region enclosed by the x-axis and the parabola is revolved about the line x = –1 to generate the shape of a cake. What is the volume of the cake? DO.

Section 7.3: Volume The Last One!!! Objective: Students will be able to… Find the volume of an object using one of the following methods: slicing, disk,

Super Connect 4 Integration Antigravity Game

Solids of Revolution Shell Method

Solids of Revolution Shell Method

Section 14.5 The Area Problem; The Integral.

Calculus II (MAT 146) Dr. Day Wednesday, January 31, 2018

AP Calculus Honors Ms. Olifer

The Shell Method Section 7.3.

Finding the Volume of a Solid of Revolution

AP Calculus Honors Ms. Olifer

Section 3.9 Derivatives of Exponential and Logarithmic Functions

Cross Sections Section 7.2.

Volume by Cross Sections

Calculus, ET First Edition

Volumes of Revolution The Shell Method

AP Calculus Honors Ms. Olifer

Fundamental Theorem of Calculus

AP Calculus Honors Ms. Olifer

8.4 Improper Integrals.

AP Calculus Honors Ms. Olifer

AP Calculus Honors Ms. Olifer

Volume: The Shell Method

Volume: Disk Method Washer Method

Chapter 8 Applications of Definite Integral Section 8.3 Volumes.

Calculus II (MAT 146) Dr. Day Monday, January 29, 2018

AP Calculus Honors Ms. Olifer

Chapter 8 Section 8.2 Applications of Definite Integral

Derivative of a Function AP Calculus Honors Ms. Olifer

Section 5.3 Definite Integrals and Antiderivatives

Chapter 8 Applications of Definite Integral Volume.

Mean-Value Theorem for Integrals

Volume of Solids with Known Cross Sections

Volume by Cross-sectional Areas A.K.A. - Slicing

Applications Of The Definite Integral

Section 7.2 Day 1 Disk method

Derivatives of Trigonometric Functions AP Calculus Honors Ms. Olifer

Rates of Change and Tangent Lines

6.2 Volumes by Revolution: Disk/Washer Method

Estimating with Finite Sums

Section 3.7 Implicit Differentiation

Solids not generated by Revolution

Estimating with Finite Sums

Definite Integrals & Antiderivatives

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

Section 7.2 Day 2 Disk Method

Calculus 5.9: Volume of a Solid by Plane Slicing

Volume of Pyramids and Cones

Section Volumes by Slicing

Section 7.2 Day 5 Cross Sections

Section 5.2 Definite Integrals

Applications of Definite Integrals

Mean Value Theorem AP Calculus Ms. Olifer.

6.3 – Volumes By Cylindrical Shells

Presentation transcript:

AP Calculus Honors Ms. Olifer Volumes AP Calculus Honors Ms. Olifer

What you’ll learn about Volumes As an Integral Square Cross Sections Circular Cross Sections Cylindrical Shells Other Cross Sections …and why The techniques of this section allow us to compute volumes of certain solids in three dimensions.

Volume of a Solid

How to Find Volumes by the Method of Slicing

Example Square Cross Sections

Example Square Cross Sections

Example A Solid of Revolution

Example Other Cross Sections

Example Other Cross Sections