Day 72 - Disk Method and Washer Method - 12.03.15

Update
  • N/A

Review

Bell Ringer
  1. Find the area between the two functions: from x = 0 to x = 5.

    1. 5

    2. 10

    3. -5

    4. 0

    5. none of the above

  2. Find the area between the two functions: from x = 0 to x = 2.

    1. -4

    2. 4

    3. 0

    4. 2

    5. none of the above

  3. Graph each equation. Find the area between the two curves:

    1. 1/4

    2. 1/2

    3. 1/12

    4. 5/6

    5. none of the above

  4. Graph each equation. Find the area between the two curves:

    1. 1/4

    2. 1/2

    3. 1/12

    4. 5/6

    5. none of the above

  5. Graph each equation. Find the area bounded by the region:

    1. 4 - ln(2)

    2. 4 - 4ln(2)

    3. 4

    4. 0

    5. none of the above

Lesson
  • Volume

      • The Disk Method


    Volume - Disk Method


      • Posted on the board at the end of the block

      Homework
      • Study!


      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.