Use the shell method to find the volume of the solid generated by revolving the region bounded by the line yequals=55xplus+66 and the parabola yequals=xsquared2 about the following lines. a. The line xequals=66 b. The line xequals=minus-11 c. The x-axis d. The line yequals=36

Question

Mathematics

Joey Roth

23 January, 02:04

Use the shell method to find the volume of the solid generated by revolving the region bounded by the line yequals=55xplus+66 and the parabola yequals=xsquared2 about the following lines. a. The line xequals=66 b. The line xequals=minus-11 c. The x-axis d. The line yequals=36

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Answers (1)

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Justice Solis · Answer 1

a, 72; b, - 1/3 c. 30.3

Step-by-step explanation:

y=5x + 6; y = x^2

a. x = 6; 36=5x+6

=> 5x=30; boundary = 0, 6, the volume will be 72 after take integral of parabola through boundary 0, 6