3. Find the area of region enclosed by the Astroid (Graph in your calculator first to see how the curve looks and what the appropriate values of t are). Set up the integral and integrate in the calculator x = 2cos ³t y = 2 sin³t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Please solve #3, thanks!
126
Recall that in parametric form:
A = = fb g(t)f' (t)dt
L =
dx
V\dt.
+
dt
3. Find the area of region enclosed by the Astroid (Graph in your calculator first to see how the curve looks and what the
appropriate values of t are). Set up the integral and integrate in the calculator
x = 2cos ³t
y = 2 sin³t
4. Find the arc length of the parametric curve x = t sint y = t· cost
DS
0 ≤t≤1
Transcribed Image Text:126 Recall that in parametric form: A = = fb g(t)f' (t)dt L = dx V\dt. + dt 3. Find the area of region enclosed by the Astroid (Graph in your calculator first to see how the curve looks and what the appropriate values of t are). Set up the integral and integrate in the calculator x = 2cos ³t y = 2 sin³t 4. Find the arc length of the parametric curve x = t sint y = t· cost DS 0 ≤t≤1
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