3 Let R be the region inside the curve C :r = 1+cos 0 and to the right of the line € : r = - sec 0. 2.1. Find the polar points of intersection of C and € whose 0-coordinate are in [-a, a]. Hint: Let u = cos 0. And then later in your computation, recall that for all 0 e R, –1 < cos 0 < 1. 2.2. Sketch C and € in one polar coordinate system. Indicate their polar points of intersection. 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 = sin² 0. And then finally, use integration by substitution. %3D
3 Let R be the region inside the curve C :r = 1+cos 0 and to the right of the line € : r = - sec 0. 2.1. Find the polar points of intersection of C and € whose 0-coordinate are in [-a, a]. Hint: Let u = cos 0. And then later in your computation, recall that for all 0 e R, –1 < cos 0 < 1. 2.2. Sketch C and € in one polar coordinate system. Indicate their polar points of intersection. 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 = sin² 0. And then finally, use integration by substitution. %3D
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
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning