Update(s) - Unit 6 - Applications of Integration
- Area of a Region
- Volume of a Region: Disk Method
- Arc Length and Surface Area of a Region
- Unit 6 Test
- Summative 3 Exam
- covers Units 5 and 6
- next Friday, May 15th
- Seniors Final Exam (optional)
- Monday, May 18th
- 8-12am
- Gym
Questions Find the area between the two functions:  from x = 0 to x = 5. 5 10 -5 0 none of the above
Find the area between the two functions:  from x = 0 to x = 2. -4 4 0 2 none of the above
Graph each equation. Find the area between the two curves:  1/4 1/2 1/12 5/6 none of the above
Graph each equation. Find the area between the two curves:  1/4 1/2 1/12 5/6 none of the above
Graph each equation. Find the area bounded by the region:  4 - ln(2) 4 - 4ln(2) 4 0 - none of the above
Review
- Prerequisites
- Area of a Region
- How can the area of a region be calculated using definite integrals?
- Sketch areas of regions between given equations.
- Calculate area of regions between equations using calculus.
- Activity
- Checkpoints
- Extra Practice
Lesson
Exit Ticket- Posted on the board at the end of the block!
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Lesson Objective(s)
- How can the volume of a solid of revolution be found?
Skills
- Find volume using disk method.
- Find volume using washer method.
Standard(s)
- APC.15
- The student will use integration techniques and appropriate integrals to model physical, biological, and economic situations. The emphasis will be on using the integral of a rate of change to give accumulated change or on using the method of setting up an approximating Riemann sum and representing its limit as a definite integral. Specific applications will include
- a) the area of a region;
- b) the volume of a solid with known cross-section;
- c) the average value of a function; and
- d) the distance traveled by a particle along a line.
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