Math 151-01                                                                                             Name: KEY
Quiz 10
 

Sketch the solid that results when the given region is rotated about the given axis. (You will not be graded on the quality of your artwork, but it must be clear from it that you are visualizing the correct solid.) Then, set up, but do not evaluate, an integral expression created using the method given that represents the volume of the solid.

  1. Region: the region bounded by $y=x^{2},x=2,$ and $y=0,$ Axis: x-axis

    2. MATH

    Method: Disk Method (also called Washer Method in book.)
    MATH
     

  2. Region: the region bounded by $y=x^{2},x=2,$ and $y=0,$ Axis: y-axis

    3. MATH

    Method: Cylindrical Shell Method.
    MATH
     

  3. Region: the region bounded by $x=4-y^{2}$ and $x=3.$ Axis: y-axis

    4. MATH

    Method: Disk Method.
    MATH
     
     
     

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