Write each of the following as compactly as possible using summation and "for all" indexed notation. 1. max 1,1 +2,2 +23,3 +4,4+25,5. 2. 21+4+9+16x + 25x ≤ 100. 3. 1+1+2+3+stas + + + 5+2 +6+2 210. 4+24 6+z6 4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Write each of the following as compactly as possible using summation and "for all" indexed notation.
1. max 1,1 +2,2+3,3 +4,4+25,5.
2.
1+4+9x + 16x + 25x ≤ 100.
+ 2+₂ +²2
4.
5.
+ + + + + 210.
5+25 6+6
3+23 4+24
21-2₂ ≤1
12 + x3-24 ≤1
21- 2 + x3 x4 +25-26 ≤ 1
12 +34 +25 26 27
21 22 23 24 25 26 27
1-₂ ≤1
1+2 3 ≤ 2
1+₂+34 ≤3
1+2+3+4-25 ≤4
28 ≤1
28 29-10 ≤ 1
1 +2+3+4+25-26 ≤5
₁ +₂ +3 +4 +5 +26-27 ≤ 6
6. 21,1 ≥ 2, 1,2 ≥ 3, 2,1 ≥ 3, 3,1 ≥ 4, 2,2 ≥ 4, 21,3 ≥ 4, 4,1 ≥ 5, 23,225, 22,325, 21,4 ≥ 5
Transcribed Image Text:Write each of the following as compactly as possible using summation and "for all" indexed notation. 1. max 1,1 +2,2+3,3 +4,4+25,5. 2. 1+4+9x + 16x + 25x ≤ 100. + 2+₂ +²2 4. 5. + + + + + 210. 5+25 6+6 3+23 4+24 21-2₂ ≤1 12 + x3-24 ≤1 21- 2 + x3 x4 +25-26 ≤ 1 12 +34 +25 26 27 21 22 23 24 25 26 27 1-₂ ≤1 1+2 3 ≤ 2 1+₂+34 ≤3 1+2+3+4-25 ≤4 28 ≤1 28 29-10 ≤ 1 1 +2+3+4+25-26 ≤5 ₁ +₂ +3 +4 +5 +26-27 ≤ 6 6. 21,1 ≥ 2, 1,2 ≥ 3, 2,1 ≥ 3, 3,1 ≥ 4, 2,2 ≥ 4, 21,3 ≥ 4, 4,1 ≥ 5, 23,225, 22,325, 21,4 ≥ 5
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