2) 4 The 30llowing are trues give detailedproof.olhey wises support your by anon trivel ex.D The Converse o2 hay van gess theorm is true.i) The index the Center 2G)% finitegroup 18 clways primc111 The maximum orler of canyelement inSu 18 8.N) Themul tiplicative graup g positiveYation al num bet 18 cyclic.) he Centlatizer cmd motmatizer of aSubgroup a group ave the Same.

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2) 4 The 30llowing ate trues give detailed proof.olhey wises support your by a non trivel ex. answey example. D The convelse o2 hay ran gers theorm is true. i) The index the center Z(G) of Binite group 18 clways prime element in 11)The maximum oreler of cmy 18 8.

2) 4 The 30llowing ate trues give detailed proof.olhey wises support your by a non trivel ex. answey example. D The convelse o2 hay ran gers theorm is true. i) The index the center Z(G) of Binite group 18 clways prime element in 11)The maximum oreler of cmy 18 8.

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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9Sea Cutting nCA')-21, nCB)= 27, nCA'UB')= 36, NCANB)= 17 thhe using tor each reaion in the venn givon information to fill in the huuber of elements eliagram, A B The number of eleuehts in region x is メ The number of elerrents in egion y is - 80° Tue nuuber of elements in region Zis The number of elements in egion wis Sto S ope Ixenno TIMBUeD OITAUAESS 30 120°
The figure shows four identical conducting spheres that are actually well separated from one another. Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial charge of -30e) and then they are separated. Finally, sphere Wis touched to sphere C (with an initial charge of 44e), and then they are separated. The final charge on sphere W is 18e. What multiple of e gives the initial charge on sphere A? A B C W Number i Units This answer has no units +
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13) The integer n = a) If n = 3 (mod 9), then what is x ? b) If n = 3 (mod 11), then what is x ? Hint for #13: 12700140x3243243 is missing the digit x. Consider the number 1234. By writing each digit in scientific notation, we have 1234 1 x 10³ +2× 10² +3 × 10¹ + 4 × 10⁰ Then notice that 10 = 1 (mod 9). When we reduce mod 9, we obtain 1234 1 x 10³ +2× 10² +3 x 10¹ + 4 x 10⁰ = = 1x 1³ + 2 x 1² + 3 × 1¹ + 4 × 1⁰ = 1+ 2+ 3+ 4 = 10 = 1 (mod 9). Since 10 = -1 (mod 11), when we reduce mod 11, we obtain 1234 1 x 10³ +2× 10² +3 x 10¹ + 4 x 10⁰ = = 1x (-1)³ +2× (-1)² +3 × (-1)¹ +4× (-1)⁰ = -1 + 2-3 + 4 = 2 (mod 11).
2) Find the 3 Taylor pelynomial Pz(x) of fix) = Sinx at X=-½. 3) Using B(x) rom 2), estimake sin (-½-.i). 4) Using Taylo 's Theerem, show that the error in you estimede in 3) is leas then
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5) x3- 3x +1 why is Conti nuous on X +2 where is it discontinuous?
A rectangl ar field is to be bound ed by 9 fence three sides and by astredght on stream on the fourth side the dimens i ons of the field with ma Ximum ar ea that Can be enclosed wirh ISoof6 of fence. Draw an a Ppropriate figure and label the quantites relevanb +o problem-