MAT136H1 Lecture : 8.2 Surface Area of Revolution Question #4 (Medium)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #4 (medium): surface area from rotating the function about the y-axis. When the function is rotated about the -axis, the radius extends horizontally. When the function is expressed as , then ( But if the function is given as , then. The expression from arc length can be evaluated with just as well because ( The function does not have to be rearranged, and the derivative can be taken as it is. Find the exact surface area obtained by rotating the given function about the -axis. Since the rotation is about the -axis, ( But since the function is given for in terms of , without having to rearrange, take the derivate as it is for. Since it is in chain rule form, substitution can be used.