0 w tivity 3 Chat 283 eams nments B endar 3 Calls Files pps ? Assg 3.pdf Q Search Your status is set to do not disturb. You'll only get notifications for urgent messages and from your priority contacts. Change settings. (i) f(x) = 3x - 3, x € [1, 2] (ii) f(x) = sinx, x = [0, 1] (3) Change the following cartesian integrals into polar integrals: (i) ff x dx dy (ii) f/2 S/A-2 dx dy (4) Transform the following polar integral into cartesian integral. tan-14 JO 3 sec 0 17 - r7 dr do + Jo tan Jo 4 cosec 0 r7 dr de (5) Find the area of the region bounded by the curves y = ln x, y = 2 lnx, and the line x = e, in the first quadrant. (6) Find the area bounded by a2 = y³ and x = y. (7) (i) Find the volume of the wedge cut from the first octant by the cylinder z = 12-3y2 and the plane x + y = 2. (ii) Find the volume of the solid bounded on the front and back by the planes x = , on the sides by the cylinders y = ±seca, above by the cylinder z = 1+ y², and below by the xy-plane. Close
0 w tivity 3 Chat 283 eams nments B endar 3 Calls Files pps ? Assg 3.pdf Q Search Your status is set to do not disturb. You'll only get notifications for urgent messages and from your priority contacts. Change settings. (i) f(x) = 3x - 3, x € [1, 2] (ii) f(x) = sinx, x = [0, 1] (3) Change the following cartesian integrals into polar integrals: (i) ff x dx dy (ii) f/2 S/A-2 dx dy (4) Transform the following polar integral into cartesian integral. tan-14 JO 3 sec 0 17 - r7 dr do + Jo tan Jo 4 cosec 0 r7 dr de (5) Find the area of the region bounded by the curves y = ln x, y = 2 lnx, and the line x = e, in the first quadrant. (6) Find the area bounded by a2 = y³ and x = y. (7) (i) Find the volume of the wedge cut from the first octant by the cylinder z = 12-3y2 and the plane x + y = 2. (ii) Find the volume of the solid bounded on the front and back by the planes x = , on the sides by the cylinders y = ±seca, above by the cylinder z = 1+ y², and below by the xy-plane. Close
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 61E
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