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  3. let r be the region enclosed by the x-axis, the y-

Let R be the region enclosed by the x-axis, the y-axis, the line x = 2...

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Basic Math

Let R be the region enclosed by the x-axis, the y-axis, the linex = 2 , and the curve ? = 2?? +3?

  1. (1) Find the area of R by setting up and evaluating theintegral.

  2. (2) Write, but do not evaluate, the volume of the solidgenerated by revolving R around

    the y-axis

  3. (3) Write, but do not evaluate the volume of the solid generatedby revolving R around

    the x-axis

  4. (4) Write, but do not evaluate the volume of the solid generatedby revolving R around

    the line x = 4

  5. (5) Write, but do not evaluate the volume of the solid generatedsuch that each cross

    section is a rectangle with base on R and the other side fourtimes the base.

  6. (6) Write, but do not evaluate the volume of the solid generatedsuch that each cross

    section is a semicircle with diameter on R.

  7. (7) Write, but do not evaluate the volume of the solid generatedsuch that each cross

    section is an equilateral triangle with side on R.

  8. (8) Write, but do not evaluate the volume of the solid generatedsuch that each cross

    section is an isosceles right triangle with height on R.

  9. (9) Write, but do not evaluate the perimeter of the R.

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