8. Evaluate (sin(√1+z³) +21y) dr + 121r dy where C is the boundary of the region K(4). The first K(0) is an equilateral triangle of length 1. The second K(1) is K(0) with 3 equilateral triangles of length 1/3 added. K(2) is K(1) with 3*4¹ equilateral triangles of length 1/9 added. K(3) is K(2) with 3*42 of length 1/27 added and K(4) is K(3) with 3*4³ of length 1/81 added. Their pictures are below. We could take this even further and try to find the line integral for K called the Koch snowflake. It has many odd properties..... K(oo), which is a fractal
8. Evaluate (sin(√1+z³) +21y) dr + 121r dy where C is the boundary of the region K(4). The first K(0) is an equilateral triangle of length 1. The second K(1) is K(0) with 3 equilateral triangles of length 1/3 added. K(2) is K(1) with 3*4¹ equilateral triangles of length 1/9 added. K(3) is K(2) with 3*42 of length 1/27 added and K(4) is K(3) with 3*4³ of length 1/81 added. Their pictures are below. We could take this even further and try to find the line integral for K called the Koch snowflake. It has many odd properties..... K(oo), which is a fractal
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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