Homework Help is Here – Start Your Trial Now!
Math
Calculus
2 Show that the total length of the astroid x¾ + y³ = a³, which can be parameterized as x = acos³0, y = asin³0, is 6a, where a is a nonzero constant. Hint: ds = (dx)² + (dy)² = √√/1 + (dy)²|dx|.

2 Show that the total length of the astroid x¾ + y³ = a³, which can be parameterized as x = acos³0, y = asin³0, is 6a, where a is a nonzero constant. Hint: ds = (dx)² + (dy)² = √√/1 + (dy)²|dx|.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
See similar textbooks
icon
Related questions
Question
100%
2 1. Show that the total length of the astroid x² + y² = a³, which can be parameterized as x = = acos³0, y = asin³0, is 6a, where a is a nonzero constant. Hint: ds = √(dx)² + (dy)² = √√1+ (dy)²|dx|.
Transcribed Image Text:2 1. Show that the total length of the astroid x² + y² = a³, which can be parameterized as x = = acos³0, y = asin³0, is 6a, where a is a nonzero constant. Hint: ds = √(dx)² + (dy)² = √√1+ (dy)²|dx|.
Expert Solution
Step 1

Solution is here 

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS