4 to estimate the volume obtained by rotating

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: t evaluate the integral. ■ x œπ „ 1, x x x 25. ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ 4 to estimate the volume obtained by rotating about the y-axis the region under the curve y tan x, 0 x 4. First Exam — January 28, 2010 Page 8 of 11 28. If the region shown in the figure is rotated about the y-axis to form a solid, use the Midpoint Rule with n 1 5 to estimate the (8 points) Consider the region between the curve and the x-axis in the figure below: volume of the solid. 1 , x 0, x 2 x y y 3 , ■ 27. Use the Midpoint Rule with n od of cylindrical shells to find the volume genregion bounded ath 42, Winter about the M by the given curves 2010 ion and a typical shell. , ■ y x2 ■ ■ 4x 5 4 7 ■ ■ 3 ■ ■ ■ ■ ■ 2 me of the solid obtained by rotating about the bounded by y sx and y x 2. Find V both cylindrical shells. In both cases draw a diaour method. 1 0 2 1 3 4 5 6 7 8 9 10 11 12 x od of cylindrical shells to find the volume of 29–32 Each integral represents the volume of a solid. Describe (a) by the region shownthe solid. is rotated about the x-axis to form a solid, use Simpson’s Rule with rotating the region bounded If the given to estimate the volume of the solid. (Write an expression involving only numbers, but is....
View Full Document

This note was uploaded on 07/31/2013 for the course MATH 42 taught by Professor Butscher,a during the Spring '07 term at Stanford.

Ask a homework question - tutors are online