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

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

Advanced Engineering Mathematics
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
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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