The given curve is rotated about the y-axis. find the area of the resulting surface. y = 1 3 x3/2, 5 ≤ x ≤ 12

Question

Mathematics

Rachael Pratt

10 April, 16:32

The given curve is rotated about the y-axis. find the area of the resulting surface. y = 1 3 x3/2, 5 ≤ x ≤ 12

+3

Answers (1)

Know the Answer?

Walker Weeks · Answer 1

The area of the resulting figure will be given by:

∫f (x) dx

f (x) = 13/2x^3

thus

∫f (x) dx=13/2∫x³dx=13/8[x^4]

integrating over the inerval

13/8 (12^4) - 13/8 (5^4)

=32680+3/8 sq. units

=