Question: Answer questions 1-5. Show all work. 1.) Find the volume V of the solid obtained by rotating the region bounded by the given curves about

Answer questions 1-5. Show all work.

1.) Find the volumeVof the solid obtained by rotating the region bounded by the given curves about the specified line.y=7x⁵,y=7x,x0;about thex-axis

After you find the volume, sketch the solid.

2.) Find the volumeVof the solid obtained by rotating the region bounded by the given curves about the specified line.y²=2x,x=2y; about they-axis. After you find the volume, sketch the solid.

3.) Find the volumeVof the solid obtained by rotating the region bounded by the given curves about the specified line.y=27x³,y= 0,x= 1;aboutx= 2. After you find the volume, sketch the solid.

4.) Find the volumeVof the described solidS.The base ofSis the triangular region with vertices (0, 0), (2, 0), and (0,2). Cross-sections perpendicular to thexaxis are square.

5.) Find the volume V of the described solid S. The base ofSis the region enclosed by the parabolay=53x²and thexaxis. Cross-sections perpendicular to theyaxis are squares.

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