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 77E
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(i) ƒ(x) = 3x – 3, x € [1,2]
(ii) f(x) = sin x, x € [0,1]
000
COJ
Teams
(3) Change the following cartesian integrals into polar integrals:
(i) S" x dx dy (ii) J72JA-g²
Assignments
dx dy
Calendar
(4) Transform the following polar integral into cartesian integral.
Calls
ctan
r3 sec 0
c4 cosec 0
p7 dr d0 +
p7 dr de
Files
Jo
tan
(5) Find the area of the region bounded by the curves y = ln x, y = 2 ln x, and the line
x = e,
in the first quadrant.
= Y.
(6) Find the area bounded by x2 = y° and x =
(7)
(i) Find the volume of the wedge cut from the first octant by the cylinder z =
12 – 3y? and the plane x + y = 2.
-
(ii) Find the volume of the solid bounded on the front and back by the planes
+ sec x, above by the cylinder
+5, on the sides by the cylinders y
z = 1+ y², and below by the ry-plane.
Apps
Help
08:48
O Type here to search
21°C
ENG
99+
28-02-2022
Transcribed Image Text:Q Search 7 Your status is set to do not disturb. You'll only get notifications for urgent messages and from your priority contacts. Change settings. Activity A Assg 3.pdf Close Chat (i) ƒ(x) = 3x – 3, x € [1,2] (ii) f(x) = sin x, x € [0,1] 000 COJ Teams (3) Change the following cartesian integrals into polar integrals: (i) S" x dx dy (ii) J72JA-g² Assignments dx dy Calendar (4) Transform the following polar integral into cartesian integral. Calls ctan r3 sec 0 c4 cosec 0 p7 dr d0 + p7 dr de Files Jo tan (5) Find the area of the region bounded by the curves y = ln x, y = 2 ln x, and the line x = e, in the first quadrant. = Y. (6) Find the area bounded by x2 = y° and x = (7) (i) Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y? and the plane x + y = 2. - (ii) Find the volume of the solid bounded on the front and back by the planes + sec x, above by the cylinder +5, on the sides by the cylinders y z = 1+ y², and below by the ry-plane. Apps Help 08:48 O Type here to search 21°C ENG 99+ 28-02-2022
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