Consider the region bounded by the curves f(x) = 3x + 1 , x = 4, and the x-axis. Use the cylinder method to write
Consider the region bounded by the curves f(x) = 3x + 1 , x = 4, and the x-axis. Use the cylinder method to write the integral used to determine the volume of the solid formed by revolving the region about the line x = 6. Do not evaluate the integral. O 4 2 TT (x + 6)(3x + 1)dx -1/3 O 21 (6-x)(3x+ 1)dx O 21 (x + 6)(3x + 1)dx (6-x)(3x + 1)dx 1/3Question 5 1 p Using the cylinder method, set up the integral which computes the volume of the solid generated by revolving the region bounded by the graphs of y = x, y = 4 - x, and y = 0; rotated about the x-axis. 21 / V[(4-V) -v]dy O 4 21 x[(4 -x)- x]dx O 2T vLy - (4 -v)]dy O 2 TC v[(4 -v)-v]dy
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