x = 2sin²t y = 2sin't tant 4 륜 ㅋㅋㅋ ㅇ t
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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Can you help me finish it I am stuck
![3 Find
A =
8
↑
the exact
X = 2 sin ² t
Sin ³ t
COSA
under
(sin²t) dt = 8
yo dy dz
²t tant) (4 costsint) dt = 8
(
y = 2 sint tant.
dt
the
cost dt =
"6²" (4-2-1
* (* (* (1= cos (2+))*d*
8
8
parametric
f
4 costsint
8-1 [² (1-2 cos (24) + cos² (2+)) d+
(
7p 717 याद
H
'f"
- + cos (2+) + + cos² (24) d+
+ P₂ ( (72) 50 ~ 7 - 7)
in ³ tant cost dt.
curve
7 7 7 7 0
x
2
12+ ] ² - 4 6² = cos(u) du +2 +3 So ² (1+ cos (4+)) dt
dx
710
2 (= 1 dt -46 € (as (2+) oH + 2√² cos (2+) dz
cos
=2 sin²t = 2
= d
dt
2 sint
d 2 (sint) ²
710
= 2-2 Sint cost
= 4 cost sint
Trig Identity
tan = Sin O
Coso
Sin²t=1= cost
sin²t=
= 1/2 - 1/cos (2+)
72=n
du = 2dt
T = 7P
= 1/2 du
cos² (2+) = 1 + 1/2 cos (
= = (1 + cos(4+))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03fd5f25-eded-4046-9c65-9e89b5e28b89%2Fa2b8bd5f-e6f0-4b05-b4e4-7413733725d6%2Ft1o6o79_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3 Find
A =
8
↑
the exact
X = 2 sin ² t
Sin ³ t
COSA
under
(sin²t) dt = 8
yo dy dz
²t tant) (4 costsint) dt = 8
(
y = 2 sint tant.
dt
the
cost dt =
"6²" (4-2-1
* (* (* (1= cos (2+))*d*
8
8
parametric
f
4 costsint
8-1 [² (1-2 cos (24) + cos² (2+)) d+
(
7p 717 याद
H
'f"
- + cos (2+) + + cos² (24) d+
+ P₂ ( (72) 50 ~ 7 - 7)
in ³ tant cost dt.
curve
7 7 7 7 0
x
2
12+ ] ² - 4 6² = cos(u) du +2 +3 So ² (1+ cos (4+)) dt
dx
710
2 (= 1 dt -46 € (as (2+) oH + 2√² cos (2+) dz
cos
=2 sin²t = 2
= d
dt
2 sint
d 2 (sint) ²
710
= 2-2 Sint cost
= 4 cost sint
Trig Identity
tan = Sin O
Coso
Sin²t=1= cost
sin²t=
= 1/2 - 1/cos (2+)
72=n
du = 2dt
T = 7P
= 1/2 du
cos² (2+) = 1 + 1/2 cos (
= = (1 + cos(4+))
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