30) Find the area bounded by the curves y = =, y = x and y = x when x > 0. a) In(2) b) In(2) – c) In(2) + d) In(2) + - 1 4 3 e) None of the above. 31) Let R be the region bounded by the graphs of f(x) = sin(x) and g(x) = x and the lines x = -1 and x = 1. Let S be the solid obtained by rotating R around the x-axis. Which of the following statements is correct? a) The area of R is given by 1 x – sin(x)dx. - cl
30) Find the area bounded by the curves y = =, y = x and y = x when x > 0. a) In(2) b) In(2) – c) In(2) + d) In(2) + - 1 4 3 e) None of the above. 31) Let R be the region bounded by the graphs of f(x) = sin(x) and g(x) = x and the lines x = -1 and x = 1. Let S be the solid obtained by rotating R around the x-axis. Which of the following statements is correct? a) The area of R is given by 1 x – sin(x)dx. - cl
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve both 30 and 31 please
Transcribed Image Text:30) Find the area bounded by the curves y = =, y = x and y = x when x > 0.
a) In(2)
b) In(2) –
c) In(2) +
d) In(2) +
-
1
4
3
e) None of the above.
31) Let R be the region bounded by the graphs of f(x) = sin(x) and g(x) = x and the
lines x = -1 and x = 1. Let S be the solid obtained by rotating R around the
x-axis. Which of the following statements is correct?
a) The area of R is given by S, x
– sin(x)dx.
b) The area of R is given by 2
x –
sin(x)dx.
T -
c) The volume of S is given by n S, x² – sin2(x)dx.
d) The volume of S is given by 2n S, x(x – sin(x))dx.
-
-
e) None of the above.
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