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|.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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