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Derive the formula of a circle using horizontal strip

Derive the formula of a circle using horizontal strip

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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Use horizontal strip. You can use other photos posted as reference for the solution 

e the formula of a cirde uring vertical strip AJ) you (1,0) (x-h)² + (y-k) ²= r² yok 1/1 ydx =4 (Yu- y₁) dx - 1 √r²_x² dx = 4). TRIGONOMETRIC SUBSTITUTION √√₁²-y² X = asint dx = a cast do Гаг-уг dx Ja²- (asing)" (a cast do) - Alton a²-a²sin²t a caso do ²3/a-a a-avint (a art do) - 4 /'all-α² 0 4a² 1 (1-sint) a cust do 4a² (1-sint) was to do ¥1-sint = cost casa cast do 40 avro do * cas²+ = 1+ cas 20 2 ·4a² 1+ cas 24 do 2 49º 1 - 20° It cas 20 do do cos 26 do + cas 2 sin -261/6 + 24,20 2a view TECH X-avint sine = t x a √9²-x² t = sin¹ X q X 2017/5m² to 292 Sin q sin (2 sin ¹4 2 2a²sin+29² a Lyitt L- 1
Transcribed Image Text:e the formula of a cirde uring vertical strip AJ) you (1,0) (x-h)² + (y-k) ²= r² yok 1/1 ydx =4 (Yu- y₁) dx - 1 √r²_x² dx = 4). TRIGONOMETRIC SUBSTITUTION √√₁²-y² X = asint dx = a cast do Гаг-уг dx Ja²- (asing)" (a cast do) - Alton a²-a²sin²t a caso do ²3/a-a a-avint (a art do) - 4 /'all-α² 0 4a² 1 (1-sint) a cust do 4a² (1-sint) was to do ¥1-sint = cost casa cast do 40 avro do * cas²+ = 1+ cas 20 2 ·4a² 1+ cas 24 do 2 49º 1 - 20° It cas 20 do do cos 26 do + cas 2 sin -261/6 + 24,20 2a view TECH X-avint sine = t x a √9²-x² t = sin¹ X q X 2017/5m² to 292 Sin q sin (2 sin ¹4 2 2a²sin+29² a Lyitt L- 1
Derive the formula of a circle using horizontal strip
Transcribed Image Text:Derive the formula of a circle using horizontal strip
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