x = a x = d Which of the following integrals represents the area of region E? O si 9 (z) dz O Si 9 (x) da O sd f (x) dz O sa -f (x) dæ Which of the following represents the sum of the area of A, B and C? O Both of these f(a) O None of these O Så f (x) dæ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
x = a
x = d
Which of the following integrals represents the area of region E?
O si 9 (z) dz
O Si 9 (x) da
O sd f (x) dz
O sa -f (x) dæ
Which of the following represents the sum of the area of A, B and C?
O Both of these
f(a)
O None of these
O Så f (x) dæ
Transcribed Image Text:x = a x = d Which of the following integrals represents the area of region E? O si 9 (z) dz O Si 9 (x) da O sd f (x) dz O sa -f (x) dæ Which of the following represents the sum of the area of A, B and C? O Both of these f(a) O None of these O Så f (x) dæ
x = a
x = d
y
A B
В
(b,f(h)}
y = g(x) or
x = g-'v)
D
(c,0)
E
y = f(x) or
x = f-'(y)
Here, in addition to lines a = a and x = d, two curves, red and blue are constructed
in the Cartesian plane. The red curve can be expressed as y = f (x) in terms of x or
x = f1 (y) in terms of y. The blue curve can be expressed as y = g (x) in terms of
x or x = g1 (y) in terms of y. The intersection of these curves is the point
(b, f (b)) = (b, g (b)).
Transcribed Image Text:x = a x = d y A B В (b,f(h)} y = g(x) or x = g-'v) D (c,0) E y = f(x) or x = f-'(y) Here, in addition to lines a = a and x = d, two curves, red and blue are constructed in the Cartesian plane. The red curve can be expressed as y = f (x) in terms of x or x = f1 (y) in terms of y. The blue curve can be expressed as y = g (x) in terms of x or x = g1 (y) in terms of y. The intersection of these curves is the point (b, f (b)) = (b, g (b)).
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