Q.Let g: [1,4] –R be continuous function. Define G(x) = S. 9(t)dt. Then a. G(x) is differentiable on [1,4] and G = g(x2). b. G(x) is differentiable on (1,4) and G = 9(x²). c. G(x) is differentiable on [1,4] and dG d. G(x) is differentiable on (1,4) and = 2xg(x2). %3D %3D dz = 2xg(x2). %3D %3D a O d Q. If E, and , are segma algebras over X, . En £, is a sigma algebra over X b. EuE, is a sigma algebra over X .ΣΣ isasgma algebra over X d. None of these. a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q.Let g : [1, 4] HR be continuous function.
Define G(x) = S. g(t)dt. Then
a. G(x) is differentiable on [1,4] and
b. G(x) is differentiable on (1,4) and
c. G(x) is differentiable on [1,4] and
d. G(x) is differentiable on (1,4) and dG
g(x²).
= g(x²).
dG
de
2æg(x²).
2æg(x²).
a
d
Q. If E, and E,
2n2, is a sigma algebra over X
b. E,uE, is a sigma algebra over X
ΣΣ, sa sigma algebra over X
are segma algebras over X,
a
C.
d. None of these.
a
Transcribed Image Text:touch O O M 0 O7"| 27% D 2:45 PM docs.google.com/forms 67 Q.Let g : [1, 4] HR be continuous function. Define G(x) = S. g(t)dt. Then a. G(x) is differentiable on [1,4] and b. G(x) is differentiable on (1,4) and c. G(x) is differentiable on [1,4] and d. G(x) is differentiable on (1,4) and dG g(x²). = g(x²). dG de 2æg(x²). 2æg(x²). a d Q. If E, and E, 2n2, is a sigma algebra over X b. E,uE, is a sigma algebra over X ΣΣ, sa sigma algebra over X are segma algebras over X, a C. d. None of these. a
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