(Hour30) Find the length of the part of the astroid x = cos³ t, y = sin³ t in the first quadrant (that is, from t = 0 to t = π/2). Hint: the trig identity, sin² t + cos² t = 1 might be useful. x = cos' t y = sin³ t 0≤152#
(Hour30) Find the length of the part of the astroid x = cos³ t, y = sin³ t in the first quadrant (that is, from t = 0 to t = π/2). Hint: the trig identity, sin² t + cos² t = 1 might be useful. x = cos' t y = sin³ t 0≤152#
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. (Hour30) Find the length of the part of the astroid x = cos³ t, y = sin³ t in the first quadrant (that is,
from t = 0 to t = π/2). Hint: the trig identity, sin² t + cos² t = 1 might be useful.
x = cos³ t
y = sin³ t
0≤1≤2#
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