Question: calculus problem af thanks in advance for whoever can help...
Calculus Problem (a-f) Thanks in advance for whoever can Help!
1. Find the volume of the solid generated by revolving about
the x-axis the region in the first quadrant bounded by the
parabola y = 6 – x2 and the lines y = 0 and x = 0.
a. Use two different methods to find points of intersection of
b. Find arc length of all relevant curves.
c. Sketch and identify all bounded areas. Sketch relevant
elements and pre-draw all graphs.
d. Estimate all answers via High School methods and verify all
answers with calculus.
e. Find the volume using the shell/cylindrical shell method.
Use the appropriate notation where Vcx, Vcy, Vcx = 5, and
Vcy = 2 denote the cylindrical shell method is used and the
area is revolved about the x-axis and about the y-axis, and
the lines x = 5 and y = 2 respectively.
f. Use two different methods to find the surface areas of all