Question

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

Answer 1

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

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