2. Hint: 3. 2ma Half-Angle Formulas sin² 0 = Find the length of one arch of the cycloid x = a(0 - sin 0), y = a(1- cos 0), 0≤ 0≤ 2m, shown in the accompanying figure. A cycloid is the curve traced out by a point P on the cir- cumference of a circle rolling along a straight line, such as the x-axis. 1- cos 20 2
2. Hint: 3. 2ma Half-Angle Formulas sin² 0 = Find the length of one arch of the cycloid x = a(0 - sin 0), y = a(1- cos 0), 0≤ 0≤ 2m, shown in the accompanying figure. A cycloid is the curve traced out by a point P on the cir- cumference of a circle rolling along a straight line, such as the x-axis. 1- cos 20 2
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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Question
Transcribed Image Text:y=2-x²
2.
2ma
Hint:
Half-Angle Formulas sin² = 1- cos 20
2
3.
(1) Find the areas of the surfaces generated by revolving the curves
y = √x+1, 1≤x≤5
about the x-axis
(2)
(1.4)
54
x = √4-y
Find the length of one arch of the cycloid x = a(0 - sin 8),
y = a(1- cos 0), 0≤ 0≤ 2m, shown in the accompanying
figure. A cycloid is the curve traced out by a point P on the cir-
cumference of a circle rolling along a straight line, such as the
x-axis.
Find the areas of the surfaces generated by revolving the
curves
x = 2√4-y, 0≤ y ≤ 15/4
about the y-axis
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