(a) Derive a reduction formula for(b) The region bounded by the curve y = x² + 1 and the line y = 3 − x is revolvedabout the x-axis to generate a solid. Find the volume of the solid.2(c) Find the length of the curve y = ³/² from x = 0 to x = 4.[a³sx" sin 2x dx, where n is an integer.(d) Find the area of the surface generated by revolving the curve y = √√√x, 1 ≤ x ≤ 4,about the x-axis.(e) Find the solution to the differential equationdydx- ln x csc y = 0.

Given : Five bits of the problem. To solve : The given five bits.

(a) Derive a reduction formula for 2¹ x" sin 2x dx, where n is an integer. (b) The region bounded by the curve y = x² + 1 and the line y = 3-x is revolved about the x-axis to generate a solid. Find the volume of the solid. 2 (c) Find the length of the curve y = ³/2 from x = 0 to x = 4. 3 (d) Find the area of the surface generated by revolving the curve y = √√√x, 1 ≤ x ≤ 4, about the x-axis. (e) Find the solution to the differential equation dy dr In x csc y = 0.

(a) Derive a reduction formula for 2¹ x" sin 2x dx, where n is an integer. (b) The region bounded by the curve y = x² + 1 and the line y = 3-x is revolved about the x-axis to generate a solid. Find the volume of the solid. 2 (c) Find the length of the curve y = ³/2 from x = 0 to x = 4. 3 (d) Find the area of the surface generated by revolving the curve y = √√√x, 1 ≤ x ≤ 4, about the x-axis. (e) Find the solution to the differential equation dy dr In x csc y = 0.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

See similar textbooks