Hello I am working on applications of inetgration, specifcally, surface area problems. I am currently stuck on the problem attached. I got to the part of (4 * ∫secθ/(tanθ-4) * dθ) and not sure how to proceed after that.
Hello I am working on applications of inetgration, specifcally, surface area problems. I am currently stuck on the problem attached. I got to the part of (4 * ∫secθ/(tanθ-4) * dθ) and not sure how to proceed after that.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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Hello I am working on applications of inetgration, specifcally, surface area problems. I am currently stuck on the problem attached. I got to the part of (4 * ∫secθ/(tanθ-4) * dθ) and not sure how to proceed after that.
Transcribed Image Text:Set up an integral for the area of the surface obtained by rotating the given curve about the specified axis.
-
xy4y² 1, 1 ≤ y ≤ 5;
x-axis
dy
Transcribed Image Text:is
5) Ky = "y²-1, 12 y≤5 AST X-AIS
x = 4y- -
x = Y + y 2
1+ (4+ y2)²
1-764
2
S
SA = 2144-3)² dy
fy
કેન્દ્ર
du = = = dy
du-Zy³=dy
124
2
4-5 4=141
4-5
BP: H+LYWE
-4
人
u√1+ (4+2) 2
1+(4+00) 2
0
4 S
12
25
dv→ 45
VETANG
July
T
75
4+4 du
11+ (4+4)²
1
25
4+4 du
иличног
4+
25
42
D
+11+ (4th)²
JIF (44)
+
4+0
du
лично
25
V=44
dvecti
ax
24
पाकार
4
(4+)(1)
211-14+57) (1+
SINCE= 2TAN (1
14 TANY (3)
cos (w) = 1-TAN² (4)
ས།
25
v=4+4 → u-v-4
drade
-415565
44
Sice
SECO IG
TANG-Y
t=TAN()
3
2+
cesta)= 1-t²
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