length of arc of the curve y = √x from y = 0 to y = 1/2 A. 0.58 unit B. 0.34 unit C.≈ 0.62 unit D. 0.84 unit area of the surface generated by rotating the curve x = y³,0 ≤ x ≤ 1, about the y-axis A. 2.64 s. u. B. 4.18 s. u. C. 3.56 s. u. D. 4.91 s. u. area of the surface generated when the arc of the curve y = √x from x = 0 to x = is revolved about the line y = 0 A. 2.20 s. u. B. 3.28 s. u. C. 4.61 s. u. D. 5.10 s. u.

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
1.5
1
y
R₂
R
y = 1
0
x = y³
0.5
y = √x
x = 1
0
X
-0.5
A
0.5
1
R₁ is the region bounded by the curves x = y³ and y = √x
R₂ is the region bounded by the curves x = y³, y = 1 and the y-axis
R3 is the region bounded by the curves y = √√x, x = 1 and the x-axis
B
R3
Transcribed Image Text:1.5 1 y R₂ R y = 1 0 x = y³ 0.5 y = √x x = 1 0 X -0.5 A 0.5 1 R₁ is the region bounded by the curves x = y³ and y = √x R₂ is the region bounded by the curves x = y³, y = 1 and the y-axis R3 is the region bounded by the curves y = √√x, x = 1 and the x-axis B R3
length of arc of the curve y = √√x from y = 0 to y =
A.≈ 0.58 unit
B. 0.34 unit
C. 0.62 unit
D. 0.84 unit
area of the surface generated by rotating the curve x = y³,0 ≤ x ≤ 1, about the y-axis
A. 2.64 s. u.
B. 4.18 s. u.
C. 3.56 s. u.
D. 4.91 s. u.
generated when the arc of the curve y = √√x from x = 0 to x = is revolved
area of the surface
about the line y = 0
A. 2.20 s. u.
B. 3.28 s. u.
C. 4.61 s. u.
D. 5.10 s. u.
Transcribed Image Text:length of arc of the curve y = √√x from y = 0 to y = A.≈ 0.58 unit B. 0.34 unit C. 0.62 unit D. 0.84 unit area of the surface generated by rotating the curve x = y³,0 ≤ x ≤ 1, about the y-axis A. 2.64 s. u. B. 4.18 s. u. C. 3.56 s. u. D. 4.91 s. u. generated when the arc of the curve y = √√x from x = 0 to x = is revolved area of the surface about the line y = 0 A. 2.20 s. u. B. 3.28 s. u. C. 4.61 s. u. D. 5.10 s. u.
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