2. Let R be the region inside the curve C :r=1+ cos 0 and to the right of the line l :r = 3 sec 0. 2.1. Find the polar points of intersection of C and l whose 0-coordinate are in [-7, 7]. Hint: Let u = cos 0. And then later in your computation, recall that for all 0 € R, –1 < cos 0 < 1. 2.3. Set-up and evaluate the integrals that gives the perimeter of R. Hint: For the length of C, after you simplify the radicand, rationalise your integrand. Remember that 1– cos? 0 = sin? 0. And then finally, use integration by substitution.
2. Let R be the region inside the curve C :r=1+ cos 0 and to the right of the line l :r = 3 sec 0. 2.1. Find the polar points of intersection of C and l whose 0-coordinate are in [-7, 7]. Hint: Let u = cos 0. And then later in your computation, recall that for all 0 € R, –1 < cos 0 < 1. 2.3. Set-up and evaluate the integrals that gives the perimeter of R. Hint: For the length of C, after you simplify the radicand, rationalise your integrand. Remember that 1– cos? 0 = sin? 0. And then finally, use integration by substitution.
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 61E
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![2. Let R be the region inside the curve C :r=1+cos 0 and to the right of the line l:r =
3
sec 0.
2.1. Find the polar points of intersection of C and l whose 0-coordinate are in [-7, 7].
Hint: Let u =
cos 0. And then later in your computation, recall that for all 0 E R, –1 < cos 0 < 1.
2.3. Set-up and evaluate the integrals that gives the perimeter of R.
Hint: For the length of C, after you simplify the radicand, rationalise your integrand. Remember that
1- cos? 0 = sin? 0. And then finally, use integration by substitution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c42356b-1c70-48b0-b13e-575ef21a23cd%2F54780611-e225-473e-9393-f53ea73da058%2Fcec9sx_processed.png&w=3840&q=75)
Transcribed Image Text:2. Let R be the region inside the curve C :r=1+cos 0 and to the right of the line l:r =
3
sec 0.
2.1. Find the polar points of intersection of C and l whose 0-coordinate are in [-7, 7].
Hint: Let u =
cos 0. And then later in your computation, recall that for all 0 E R, –1 < cos 0 < 1.
2.3. Set-up and evaluate the integrals that gives the perimeter of R.
Hint: For the length of C, after you simplify the radicand, rationalise your integrand. Remember that
1- cos? 0 = sin? 0. And then finally, use integration by substitution.
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