MAT136H1 Lecture : 8.2 Surface Area of Revolution Question #2 (Medium)
plummouse698 and 39596 others unlocked
92
MAT136H1 Full Course Notes
Verified Note
92 documents
Document Summary
Question #2 (medium): surface area from rotating the function about the x-axis. When the function is rotated about the -axis, then the radius extends vertically up. When the function is expressed as , then use the formula ( But if the function is given in the form of , then use ( The part that comes from arc length can be evaluated with because based on ( So no rearrangement is necessary 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 x-axis but the function is given as x in terms of y, surface area formula of is used. Following after the chain rule, substitution can be.