Which of the following is the integral equivalent of the volume of the solid formed by rotating around the y=axis the region bounded by the curve y = x- – 3 and y = 3x + 1 at the left of the y-axis? using cylindrical shells o 22ny (블-Vy+3) dy | oLj 2ay (Vy+3-) dy O L 27 (x) (x² - 3x - 4) dx O , 2nx (-x² + 3x + 4) dx
Which of the following is the integral equivalent of the volume of the solid formed by rotating around the y=axis the region bounded by the curve y = x- – 3 and y = 3x + 1 at the left of the y-axis? using cylindrical shells o 22ny (블-Vy+3) dy | oLj 2ay (Vy+3-) dy O L 27 (x) (x² - 3x - 4) dx O , 2nx (-x² + 3x + 4) dx
Which of the following is the integral equivalent of the volume of the solid formed by rotating around the y=axis the region bounded by the curve y = x- – 3 and y = 3x + 1 at the left of the y-axis? using cylindrical shells o 22ny (블-Vy+3) dy | oLj 2ay (Vy+3-) dy O L 27 (x) (x² - 3x - 4) dx O , 2nx (-x² + 3x + 4) dx
Transcribed Image Text:A trough full of oil of specific weight w Ib/ft3, has a length of
10 ft and ends in the form of a parabola 8 ft wide on top and 5
ft deep. Find the work done in pumping all the oil out the top.
Give your answer in ft-lbs
O 800 /3
3
O 1600V5
3
800
3
1600
3
Transcribed Image Text:Which of the following is the integral equivalent of the volume
of the solid formed by rotating around the y=axis the region
bounded by the curve y = x² - 3 and y = 3x + 1 at the left
of the y-axis? using cylindrical shells
%3D
O,2ay(- Vy+ 3) dy
OL; 27y(Vy+3- ) dy
O27 (x) (x² – 3x – 4) dx
OL 2nx (-x² + 3x + 4) dx
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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