#IN A [2 pts.] C 0 II. Consider the circle C r = 4 cos 0 and the line Cr=sec as in the figure on the right. Let A and B be the points of intersection of the two curves as shown. 1. Find the polar coordinates of A and B. 2. Find a Cartesian equation of the tangent line to C at the point where [4 pts.] 3. Set up (and do not evaluate) a definite integral or a sum of definite integrals that yields the follow- ing: a. the length of the portion of C traced counterclockwise from A to B. b. the area of the shaded region. [2 pts.] [3 pts.] B C

#IN A [2 pts.] C 0 II. Consider the circle C r = 4 cos 0 and the line Cr=sec as in the figure on the right. Let A and B be the points of intersection of the two curves as shown. 1. Find the polar coordinates of A and B. 2. Find a Cartesian equation of the tangent line to C at the point where [4 pts.] 3. Set up (and do not evaluate) a definite integral or a sum of definite integrals that yields the follow- ing: a. the length of the portion of C traced counterclockwise from A to B. b. the area of the shaded region. [2 pts.] [3 pts.] B C

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 64E

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