and given x (t) 1. I = 2. I - 5. I 6. I parametrically by = 3. I = 9 = 9 4. I = 9 5² 3 = 3 r2πT 3 cos³ t, y(t) = 3 sin³t. 3 2πT S 2πT 35 7T ST Y cost sint dt cost sint dt cost sint dt cost sint dt • 2πT [RT I COS: cost sint dt X t sin t| dt

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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Question
Option 1 is incorrect
Which integral represents the arc length of
the astroid shown in
Transcribed Image Text:Which integral represents the arc length of the astroid shown in
and given
x (t)
1. I =
3. I
5. I
2. I = 3
=
6. I
parametrically by
=
=
9
4. I = 9
5²
9
= 3
r2πT
3 cos³ t, y(t) = 3 sin³t.
r2πT
S
2πT
71
S
35
Y
71
cost sint dt
cost sint dt
cost sint dt
cost sint dt
cost sint dt
2πT
[RT I COS:
3 [2
X
t sin t| dt
Transcribed Image Text:and given x (t) 1. I = 3. I 5. I 2. I = 3 = 6. I parametrically by = = 9 4. I = 9 5² 9 = 3 r2πT 3 cos³ t, y(t) = 3 sin³t. r2πT S 2πT 71 S 35 Y 71 cost sint dt cost sint dt cost sint dt cost sint dt cost sint dt 2πT [RT I COS: 3 [2 X t sin t| dt
Expert Solution
Step 1

Use arc of length formula

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