Duvnit via Cillall 1. Consider the lune enclosed between x² +y² = 1 and x² +(y+1)² = 2. Show the following using calculus. If you wish you may use any computer algebra system you like to do the integrals, just write down each integral and its solution. I 0.5 III II -1 -0.5 a. Use calculus to show that the tangent line to x² +(y+1)² =2 at the point (-1,0) goes through (0,1). b. Use calculus to show that the area in region I on the graph is equal to half the area of region III. c. Find the area of the lune using calculus. d. Find the area of the lune using Hippocrates' solution. [Naturally, the answers to c and d should be the same.] 0.5

Duvnit via Cillall 1. Consider the lune enclosed between x² +y² = 1 and x² +(y+1)² = 2. Show the following using calculus. If you wish you may use any computer algebra system you like to do the integrals, just write down each integral and its solution. I 0.5 III II -1 -0.5 a. Use calculus to show that the tangent line to x² +(y+1)² =2 at the point (-1,0) goes through (0,1). b. Use calculus to show that the area in region I on the graph is equal to half the area of region III. c. Find the area of the lune using calculus. d. Find the area of the lune using Hippocrates' solution. [Naturally, the answers to c and d should be the same.] 0.5

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 67E

See similar textbooks