Integrate => = dr ( (bsin) dø => lnr = Letiu 1-b cos / dy = - (-bsin D) 14 1 (trusteena aid) b sing = du

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 36E
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Integrate => = = dr
((bsin D ) des
Frigal polesnod
insrvel), nod]
=> lnr =
Letiu 1-b cos V
dy = = (-bsin D) 1 = 5 slubol: A-452
=
(Anwater and) bising du
200)d = yb
du
060 mard) wood = vb₂
<= studia n
=> Inr = In utoQoood-yb, ko galderant
ln (1-b cos 0) + C
=> 1nr =
In r
Get the "e" => e
In (1-bcos 0) + C
z
e
1b (1-bcos 0) (
e
=>
etar
= e
: Law of exponent
=>r = (1-bcose) (e²) ►
=> r = (1-b cose) c
Final answer : [r= c (1-bcos D))
dr =
Transcribed Image Text:Integrate => = = dr ((bsin D ) des Frigal polesnod insrvel), nod] => lnr = Letiu 1-b cos V dy = = (-bsin D) 1 = 5 slubol: A-452 = (Anwater and) bising du 200)d = yb du 060 mard) wood = vb₂ <= studia n => Inr = In utoQoood-yb, ko galderant ln (1-b cos 0) + C => 1nr = In r Get the "e" => e In (1-bcos 0) + C z e 1b (1-bcos 0) ( e => etar = e : Law of exponent =>r = (1-bcose) (e²) ► => r = (1-b cose) c Final answer : [r= c (1-bcos D)) dr =
Group 2.
- Santillan, Marken M.
Gonzales, Kent
Tibon, Clarence
Variable Separable
Set-A: Module 2 = #1 (for presentation)
Given:
-
dr = b (cos Ø dr + r sin Ø dø) (bis cons
Distribute =>
dr = bcosodrt br sin dø
Transpose =>
Factor =>
dr-bcos dr = brsindo
(1-b cos 0) dr = brsin odo
(separatel
(1-be
- beas 80) dr = bxsin 020]
1
— dr = (b sing
1-bcos ) de
r
solutioni
constant)
=>
4
r (1-boost
Transcribed Image Text:Group 2. - Santillan, Marken M. Gonzales, Kent Tibon, Clarence Variable Separable Set-A: Module 2 = #1 (for presentation) Given: - dr = b (cos Ø dr + r sin Ø dø) (bis cons Distribute => dr = bcosodrt br sin dø Transpose => Factor => dr-bcos dr = brsindo (1-b cos 0) dr = brsin odo (separatel (1-be - beas 80) dr = bxsin 020] 1 — dr = (b sing 1-bcos ) de r solutioni constant) => 4 r (1-boost
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