Problem 10 Let Find c, d, a. b. f(6.0), g(6.0), h(p.6.0) and V. y = √3 -L hp.6.0dpadde denote the volume of the solid in the first octant bounded by the graphs of the following equations: x² + y² +2²= 49, y = √3x, x = 0. 2=3 How: AN 0 = X tan ( 2 ) = ا۔ tan ² ¹ (1/3³ ) = 0 즐 V = √ KIM wrong? RIM 즈 O ZO s(0,0) X = = 0 < = ? 2 | R o 9 x = 0 KIM (?) KIN $19,6 P→ g Ans: psind p² y coco first octant: a cd abgt 3.2.0, 1.0.7. p² sin = p= f KIM 419 7 $ b 즐 So 0≤ 3 = 7 dv = p² sind dpd & d V = p² sind angle P Z 6 S makes with z-axis P ange. ! X 8 1 2 0- In general: in y ратиф y=√√3x √√3=1.73 $ √√3 3.46 N COST 9/2/2 32/3212 made with x-axis. х-у plane Aja 116 z X

Problem 10 Let Find c, d, a. b. f(6.0), g(6.0), h(p.6.0) and V. y = √3 -L hp.6.0dpadde denote the volume of the solid in the first octant bounded by the graphs of the following equations: x² + y² +2²= 49, y = √3x, x = 0. 2=3 How: AN 0 = X tan ( 2 ) = ا۔ tan ² ¹ (1/3³ ) = 0 즐 V = √ KIM wrong? RIM 즈 O ZO s(0,0) X = = 0 < = ? 2 | R o 9 x = 0 KIM (?) KIN $19,6 P→ g Ans: psind p² y coco first octant: a cd abgt 3.2.0, 1.0.7. p² sin = p= f KIM 419 7 $ b 즐 So 0≤ 3 = 7 dv = p² sind dpd & d V = p² sind angle P Z 6 S makes with z-axis P ange. ! X 8 1 2 0- In general: in y ратиф y=√√3x √√3=1.73 $ √√3 3.46 N COST 9/2/2 32/3212 made with x-axis. х-у plane Aja 116 z X

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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I just don't understand how V is calculated and the bounds for theta. Why is it not 0 to pi/3. Or perhaps could the question be wrong? I doubt it but attached is my work so far.

Problem 10
Let
Find c, d, a, b, f(0, 0), g(,0), h(p, 0, 0) and V.
Y = √3
X
How:
tan
tan
-1
V =
T..
h(p.9.0dpadde
Jf($,0)
denote the volume of the solid in the first octant bounded by the graphs of the following equations:
x² + y² +2²= 49, y = √3x, x=0.
RIM
X
Ø
8 = 0 ≤ 3/3/2
wrong?
x|cs
M
ZO
8(0,0)
J)
ㅈ
2
p²
4 -9 + £ ?
o
1)
D
x = 0
KIM
(?)
AKIN
X
2
O →
psind
рэ
Ans:
y
->>
p²
pi
c₂ d
=
a, b
,
ร
cd abgt
II
3'2
first octant:
b
a
0 ² 8 ² ²/²/2
419
f
>
0,2,0,7, p² sin
H
e
So
82
5
P
dv=
v = p²sind
& angle p
Z
≤ 7
X
sind dp d Q d O
x
ax
O ange.
1
2
In general:
makes with z-axis
y
psind
y=√√3x √√3=1₁73
$
√3
346
made with x-axis
in x-y plane
0 ≤0=2x
st
KIN
AJM
на но

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