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

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning