106. Show that [²√₁ + x³dx ≤ √ √₁ + x²dx. SVT
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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Please solve 106, thanks!
![102.
103.
['(6x - x²)dx
√" (7-5x³)dx
104. Show that
105. Show that
In the following exercises, use the comparison
theorem.
106. Show that
107. Show that
108. Show that
[0.4]
3
L²(x
-2
So1x²-6 6x +9)dx ≥ 0.
2
*N(); + COU
*2)+(00
[²√₁ + x²dx ≤ [²√₁ + x²dx.
0
0
V1+xdx ≤
(x-3)(x+2)dx ≤ 0.1)
π/2
0
2
vị tr
1
.08
sin tdt ≥4. (Hint: sint ≥2/1
te
Bl
over
LO
Toi, qu
solution is 2(√ē - 1).
118. [T] y tanx over
2ln(2)
π
solution is
119. [T] y=x+1 0
√4-x²
exact solution is
픔.
In the following exercises, c
the left Riemann sums Ly f
the accuracy compare with
120. [T]
solution is
y=x²-
y=x²-4 over
121. [T] y= xe
= xe
solution is (e4-1).
over](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b1ec9e1-71c5-41a7-88e5-1ec0b0e62692%2Fc070fe35-1c83-4213-b2c3-739cea2e4296%2F1s80nt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:102.
103.
['(6x - x²)dx
√" (7-5x³)dx
104. Show that
105. Show that
In the following exercises, use the comparison
theorem.
106. Show that
107. Show that
108. Show that
[0.4]
3
L²(x
-2
So1x²-6 6x +9)dx ≥ 0.
2
*N(); + COU
*2)+(00
[²√₁ + x²dx ≤ [²√₁ + x²dx.
0
0
V1+xdx ≤
(x-3)(x+2)dx ≤ 0.1)
π/2
0
2
vị tr
1
.08
sin tdt ≥4. (Hint: sint ≥2/1
te
Bl
over
LO
Toi, qu
solution is 2(√ē - 1).
118. [T] y tanx over
2ln(2)
π
solution is
119. [T] y=x+1 0
√4-x²
exact solution is
픔.
In the following exercises, c
the left Riemann sums Ly f
the accuracy compare with
120. [T]
solution is
y=x²-
y=x²-4 over
121. [T] y= xe
= xe
solution is (e4-1).
over
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