Super Connect 4 Integration Antigravity Game

Slides:



Advertisements
Similar presentations
Section Volumes by Slicing
Advertisements

Volumes by Slicing: Disks and Washers
DO NOW: Find the volume of the solid generated when the
Disks, Washers, and Cross Sections Review
Section Volumes by Slicing
Volumes – The Disk Method Lesson 7.2. Revolving a Function Consider a function f(x) on the interval [a, b] Now consider revolving that segment of curve.
4/30/2015 Perkins AP Calculus AB Day 4 Section 7.2.
A Review Game A Review Game. Area between CurvesArea between Curves Volumes by SlicingVolumes by Slicing Volumes of Revolution Disk/Washer Cylindrical.
 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.
S OLIDS OF R EVOLUTION 4-G. Disk method Find Volume – Disk Method Revolve about a horizontal axis Slice perpendicular to axis – slices vertical Integrate.
SECTION 7.3 Volume. VOLUMES OF AN OBJECT WITH A KNOWN CROSS-SECTION  Think of the formula for the volume of a prism: V = Bh.  The base is a cross-section.
Section Volumes by Slicing
Section 7.2 Solids of Revolution. 1 st Day Solids with Known Cross Sections.
Geometric Solids EQ: What are the most common types of solids, what are cross sections and solids of revolution?
Chapter 7 Quiz Calculators allowed. 1. Find the area between the functions y=x 2 and y=x 3 a) 1/3 b) 1/12 c) 7/12 d) 1/4 2. Find the area between the.
Volumes of Revolution Day 4 Volumes in Bases. The title is deceiving This section isn’t actually rotations – instead, there will be a shape whose base.
Volume of Cross-Sectional Solids
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,
Solids of Revolution Disk Method
Let R be the region bounded by the curve y = e x/2, the y-axis and the line y = e. 1)Sketch the region R. Include points of intersection. 2) Find the.
Integration of ex ∫ ex.dx = ex + k ∫ eax+b.dx = eax+b + k 1 a.
Finding Volumes Chapter 6.2 February 22, In General: Vertical Cut:Horizontal Cut:
VOLUMES.
Volumes by Slicing 7.3 Solids of Revolution.
Volumes by Slicing. disk Find the Volume of revolution using the disk method washer Find the volume of revolution using the washer method shell Find the.
Section Volumes by Slicing 7.3 Solids of Revolution.
Ch. 8 – Applications of Definite Integrals 8.3 – Volumes.
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:
SECTION 7-3-C Volumes of Known Cross - Sections. Recall: Perpendicular to x – axis Perpendicular to y – axis.
 The volume of a known integrable cross- section area A(x) from x = a to x = b is  Common areas:  square: A = s 2 semi-circle: A = ½  r 2 equilateral.
C.2.5b – Volumes of Revolution – Method of Cylinders Calculus – Santowski 6/12/20161Calculus - Santowski.
7-2 SOLIDS OF REVOLUTION Rizzi – Calc BC. UM…WHAT?  A region rotated about an axis creates a solid of revolution  Visualization Visualization.
The Disk Method (7.2) February 14th, 2017.
2.8 Integration of Trigonometric Functions
You can use Integration to find areas and volumes
Finding Volumes by Integration
Volumes of solids with known cross sections
7.2 Volume: The Disk Method
Super Connect 4 Rules: Each team takes turn choosing a square
Super Connect 4 Rules: Each team takes turn choosing a square
The Shell Method Section 7.3.
Warm-Up! Find the average value of
Review of Area: Measuring a length.
Volumes – The Disk Method
Volume by Cross Sections
Super Connect 4 Calculator Disk Rotations Game
Review: Area betweens two curves
( ) Part (a) Shaded area = x dx - e dx
Volumes of Solids of Revolution
Find the volume of the solid obtained by rotating about the x-axis the region under the curve {image} from x = 2 to x = 3. Select the correct answer. {image}
Write out the form of the partial fraction decomposition of the expression. Do not determine the numerical values of the coefficients. {image} 1. {image}
Find the volume of the solid obtained by rotating the region bounded by {image} and {image} about the x-axis. 1. {image}
7.3 Volume: The Shell Method
Find the Jacobian of the transformation. {image}
Volume of Solids with Known Cross Sections
Volume by Cross-sectional Areas A.K.A. - Slicing
Warm Up Find the volume of the following shapes (cubic inches)
7.2A Volumes by Revolution: Disk/Washer Method
Integration Volumes of revolution.
Solids not generated by Revolution
Chapter 6 Cross Sectional Volume
5 More!.
6.2 Solids of Revolution-Disk Method Warm Up
Section Volumes by Slicing
Warm Up Find the volume of the following 3 dimensional shapes.
Volume of Disks & Washers
AP problem back ch 7: skip # 7
6.3 – Volumes By Cylindrical Shells
Presentation transcript:

Super Connect 4 Integration Antigravity Game Bunny Tiger Heart Creepy Shadow Wrench A B C D E

Set up but do not evaluate the integral which would find the Area of the enclosed region.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the x-axis

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the line y=9.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the y-axis

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the line x= -5

Set up but do not evaluate an integral expression which finds the Area of the shaded region (dx).

The shaded region is the base of a solid with cross sections perpendicular to the x-axis in the shape of squares. Set up but do not evaluate an integral expression for the volume of this solid.

Set up but do not evaluate an integral expression which finds the Volume of the solid of revolution formed by rotating the enclosed region about the x-axis.

Set up but do not evaluate an integral expression which finds the Volume of the solid of revolution formed by rotating the enclosed region about the line y = 10.

Set up but do not evaluate an integral expression which finds the Volume of the solid of revolution formed by rotating the enclosed region about the line y = -1.

Set up but do not evaluate the integral which would find the Area of the enclosed Pink region. or

Set up but do not evaluate the integral which would find the Area of the enclosed Blue region with respect to y.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed Pink region about the line x=3.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed BLUE region about the line x=7.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed Pink region about the x-axis.

Set up but do not evaluate the integral which would find the Area of the enclosed region with respect to X.

Set up but do not evaluate the integral which would find the Area of the enclosed region with respect to y.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the x-axis

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the y-axis

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the line y=7.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the line x = 3.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the line x = -2.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the line x = 0.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the line y=1.

Set up but do not evaluate the integral which would find the Volume of the solid of revolution formed by rotating the enclosed region about the line y = 8.