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. 21+4+9+16a+25a 100.1+ 2+2+4.5.3+238+5+25 6+20> 10.21-2₂ 121-23-4 ≤121-22 +234 +25-26 ≤ 1212 +234 +256 +27-28 ≤11 2 3 4 + 25-26 +27-28 +29-10 ≤ 121-2₂ ≤ 121+22-23 21 + x₂ + x3-4 ≤31+₂+3+4-5 ≤41+2+3+4+5-26 ≤ 51+2+3+4+x5 +26 - 27 ≤66. 21,1 ≥ 2, 1,2 ≥ 3, 2,1 ≥ 3, 3,1 ≥ 4, 2,2 ≥ 4, 21,3 ≥ 4, 4,1 ≥ 5, 23,2 25, 2,3 ≥ 5, 1,4 ≥ 57.min e +et+²²² +²₁+²²₂ +²²3 +²₁+₂+3+₁ +²₁+²₂+₁+₁+ass.t.Τ1 ΣΤ2X2 ≥ 323 24₁+2+3+4+25 ≤ 121 ≥0, 220, 23 ≥0, 4 ≥ 0, as 20.min 1,1 1,2 1,3 +1,4+2,2 +2,3 +2,4+3,3 +23,4+4,4s.t.1,1 1,2 +1,3 +21,4212,12,22,3 2,4 2123,13,23,3 +3,42114,1 4,2++4,3211,12,13,14,1 211,22,23,24,221.1,32,33,3 +24,3211,42,43,4+4,42121,1 20,21,220, 21,3 ≥ 0, 1,4 2022,1 20, 22,220, 22,3 ≥ 0, 2,42023,1 ≥ 0,23,2 ≥ 0,23,3 ≥ 0,23,4 ≥04,1 ≥ 0, 4,2 ≥ 0, 4,3 ≥ 0, 4,4 ≥ 0.

1. max 1,1 +2,2+3,3 +4,4+25,5. 2. 1+4+9+16x + 25x ≤ 100. 3. 1+1+2+2+3+2 + + + 5+2 +62 10. 4. 5. 21-2₂ ≤1 21-22 +23-24 ≤1 21-22 +234 +25-26 ≤1 21-22 +234 +25-26+27-28 ≤ 1 21-2₂ +234 +25-26 +27-28 +29-10 ≤ 1 21-2₂ ≤1 21 +22-23 ≤2 ₁ + ₂ + 3-4 ≤3 ₁ +₂ +3 +24-25 ≤ 4 1+₂+3 +4 +25-26 ≤5 I₁ +₂ +3 +4 +5 +26-27 ≤ 6

1. max 1,1 +2,2+3,3 +4,4+25,5. 2. 1+4+9+16x + 25x ≤ 100. 3. 1+1+2+2+3+2 + + + 5+2 +62 10. 4. 5. 21-2₂ ≤1 21-22 +23-24 ≤1 21-22 +234 +25-26 ≤1 21-22 +234 +25-26+27-28 ≤ 1 21-2₂ +234 +25-26 +27-28 +29-10 ≤ 1 21-2₂ ≤1 21 +22-23 ≤2 ₁ + ₂ + 3-4 ≤3 ₁ +₂ +3 +24-25 ≤ 4 1+₂+3 +4 +25-26 ≤5 I₁ +₂ +3 +4 +5 +26-27 ≤ 6

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

13. Let S be the set of 7-digit numbers (neN: 106
5) 34a 25 25 66 0 1 -b< 2 3 425 18 5 6 7 8 9 10 11 12 25 2250 225/ 6
Sum y x- X=12,8,11,9 4こ13/5,2)7
Not ncluding find Set of whole aluas number Vluss s aand b 9. ンX 32 11
just need final answer perfectly
8. For the sets, A={9,10,11}, B= {10,11,12,13}, choose the correct way to draw the Venn Diagram of the two sets. A B 10 11 12 13 A 9 10 11 10 11 12 13 A B 9 10 11 10 11 10 11 12 13
Arlal 14 4. | 5. .|.6.I| 7. | 8 | 9 1 | .. Real Numbers Rational Numbers Irrational Numbers V14 -25 72/9 6.5 Integers V81 Whole Numbers 7/3 V53 Natural 2/3 5.4 Numbers -88 44 i 21/6
Helpp
1 is the only number that has just one positive divisor and we call it a unit. 1 divides every number. 3 is a number that has exactly two positive divisors. Its divisors are 1 and 3. A number with exactly two divisors is called a prime. 12 is a number with six divisors. Its divisors are 1,2,3,4,6,12. A number with more than two positive divisors is called composite. The smallest number that is a prime is The smallest number that is composite is There are primes that are less than 10. There are composites that are less than 10. The smallest prime greater than 50 is
True or False: 30 ∈∈{-300, -299, -298, ........}
9) |3p| - 9> 9 <+ + + + -10 -8 -6 -4 -2 0 +2 4 68 10 10) -5|9x| ≥ -90 -4 + -3 + -2 -1 0 + 2 3