Appendix F
Answers to Selected
Exercises
Chapter 1
1.2.1(a){ 0 , 1 , 2 , 3 , 4 },{ 2 };(b)(0,3),
{x:1≤x< 2 };
(c){(x, y):1<x< 2 , 1 <y< 2 }.1.2.2(a){x:0<x≤ 5 / 8 }.1.2.3C 1 ∩C 2 ={mary, mray}.1.2.4(c) (∪An)c=∩ACn;(∩An)c=∪ACn.1.2.6(a){x:0<x< 3 },
(b){(x, y):0<x^2 +y^2 < 4 }.
1.2.7(a){x:x=2},(b)φ,
(c){(x, y):x=0,y=0}.
1.2.8(a)^8081 ,(b)1.1.2.9^1116 , 0 ,1.
1.2.10^83 , 0 ,π 2.1.2.11(a)^12 ,(b)0,(c)^29.1.2.12(a)^16 ,(b)0.1.2.1410.
1.3.2^14 , 131 , 521 , 134.1.3.3^3132 , 643 , 321 ,^6364.
1.3.4 0 .3.
1.3.5e−^4 , 1 −e−^4 ,1.1.3.6^12.1.3.10(a)( 6
4)
/( 16
4)
,(b)( 10
4)
/( 16
4)
.1.3.11 1 −( 990
5)
/( 1000
5)
.1.3.13(b) 1−( 10
3)
/( 20
3)
.1.3.15(a) 1−( 48
5)
/( 50
5)
.1.3.16n= 23.1.3.19 13 · 12( 4
3)( 4
2)
/( 52
5)
.1.3.22(a) 0≤∑ 3
i=1pi≤1, (b) no.
1.4.3 479.1.4.4 21352125126502549.1.4.6^111143.1.4.8(a) 0.022, (b) 115.1.4.9 145.1.4.10^37 ,^47.1.4.12(c) 0.88.1.4.14(a) 0.1764.1.4.154(0.7)^3 (0.3).
1.4.16 0 .75.721