L \u0192 b \u0192 a p \u0192 1 y 2 a 2 dy Lb a 2p x \u0192b \u0192 x dx To prove this equality define W

L ƒ b ƒ a p ƒ 1 y 2 a 2 dy lb a 2p x ƒb ƒ x dx

This preview shows page 3 out of 3 pages.

Lƒ(b)ƒ(a)p((ƒ-1(y))2-a2) dyLba2px(ƒ(b)-ƒ(x)) dxTo prove this equality, define = . dxThen show that the functions Wand Sagree at a point of 3a, and have identical derivatives on 3a, b4 . b 4 in , 46.The region between the curve y=sec-1xand the x-axis from x=1 to x=2 (shown here) is revolved about the y-axis to gen-erate a solid. Find the volume of the solid. 47. Find the volume of the solid generated by revolving the region enclosed by the graphs of y=e-x2, y=0, x=0, and xabout the y-axis.48.Find the volume of the solid generated by revolving the region enclosed by the graphs of y=ex>2, y=1, and x=ln 3 about thex-axis. = 1

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture