Can someone show me step by step how to do this? Need it asap thanks for any help. Find the volume of the solid generated by revolving the region between the x axis, the curve y equals 3x^4 and the lines x=-1 and x=1 around:
A. The X axis
B. The y axis
C. The line x=1
2. Find the length of x=y^(2/3) for 1 less than or equal to Y than or equal to 8.
3. Find the area of the surface if I revolve y equals (x^3)/3 around the x-axis for 0 is less than or equal to X is less than or equal to 1.
4. You have to pump fuel from a conical tank 10 feet high with a 5-foot radius at the top to a room 15 feet above the top of the tank how much work does this take if the fuel weighs 50 pounds per cubic foot?
5. Solve: dy/dx (3x^3)(e^-y)
6. Find the center of mass of a plate between Y equals X and Y equals X Squared if the density is delta(x)=2x
7. Use the definition of sinh(x) and coshx to prove that sinh (x+y)=sinhxcoshy+coshxsinhy