106. Show that [²√₁ + x³dx ≤ √ √₁ + x²dx. SVT

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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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
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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