Droodle Review for the Test on Chapter 8

(Area Between 2 Curves, Length of Arc, and Volumes of Solids of Revolution)

 

Solve each of the problems below. Then find the answer and write down the corresponding consonant in the space to the left of the problem number. Now locate the numbers under the spaces in the Droodle title below and write the corresponding letters in the spaces. The un-numbered spaces are vowels, but you can’t buy a vowel (what do you think this is, Wheel of fortune??).

  

___ ___ ___ ___ ___     ___ ___ ___ ___ ___ ___     ___ ___ ___ ___ ___ ___ ___ ___ 
 3       4       7       5           8       4           6   1       9       6   2
___ 1. Determine the area bounded by the parabola y2 = 4x and the line y = 2x - 4.

___ 2. Determine the area bounded by the parabolas y = 6x - x2 and y = x2 - 2x.

___ 3. Determine the length of the arc of the curve y = x3/2 from x = 0 to x = 5.

___ 4. Determine the volume generated by revolving the region bounded by the parabola y2 = 8x
and the line x = 2 about the y-axis.

___ 5. Determine the volume generated by revolving the region bounded by the parabola y2 = 8x
and the line x = 2 about the line x = 2.

___ 6. Determine the volume generated by revolving the region bounded by the curves y = 2x2 ,
y = 0, x = 0, and x = 5 about the x-axis.

___ 7. Determine the volume generated by revolving the region bounded by the curves y = 2x2,
y = 0, x = 0, and x = 5 about the y-axis.

___ 8. Determine the volume generated by revolving the region in the first quadrant bounded
by the curves y2 = 8x, and x = 2 about the x-axis.

___ 9. Determine the volume generated by revolving the region bounded by the
lines y = 4 - x, x = 0, and y = 0 about the y-axis.

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