12.07.2015 Views

Stæ 503 Seinni hluti Kaflar 4–6 - Menntaskólinn við Hamrahlíð

Stæ 503 Seinni hluti Kaflar 4–6 - Menntaskólinn við Hamrahlíð

Stæ 503 Seinni hluti Kaflar 4–6 - Menntaskólinn við Hamrahlíð

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viSVÖR VIÐ ÆFINGUM(d)π 3845(e)π 5123Dæmi 2.(a)π 383 . (b)π3566 15( 25e8(c)π4)− 5e44(d) 6πDæmi 3.(a) 40√ 53(b)π 62512(e)π e8 −e 4 +16+4e −4 −4e −82(f)πDæmi 4.(a)f er kúrfanC 2 ogg er kúrfanC 1 .(b)A=(1,0) ogB=(3,3ln(3))(c) 9ln2 (3)− 9ln(3) +2( 2 2 )2864(d)π27 −48ln(3)−36ln2 (3)Æfing 5.1.2Dæmi 1.(a) 36 (b) 32 (c) 216(d) 69 (e) 104 (f) 92Dæmi 2.4∑(a)(d)k=1k 26∑(k 2 +k) (e)6∑(b) (2k+1)k=1k=0k=16∑(k+3)(c)(f)4∑(2+k 2 )k=17∑(k 2 +k)k=1Dæmi 3.(a) 1·4+2·5+3·8+···+(n−1)·(n+2)+n·(n+3)(b) 1·2 1 +2·2 2 +3·2 3 +···+(n−1)·2 n−1 +n·2 n1(c)1·2 + 12·3 + 13·4 +···+ 1n·(n+1) + 1(n+1)·(n+2)Æfing 5.2.1Dæmi 1. (a) 2/4,4/7,6/10. (b) 1/2,1/5,1/10. (c) 1,2/3,4/9.Dæmi 2. (a) 1/243,1/729,1/2187. (b) 1/32,1/64,1/128.

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