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Finite Mathematics and Applied Calculus, 8e Stefan Waner, Steven Costenoble (Solutions Manual, All Chapters. 100% Original Verified, A+ Grade) 1 / 4
Solutions Section 0.1 Section 0.1
- 2(4+(!1))(2"!4)
=2(3)(!8)=(6)(!8)=!48
- 3+([4!2]"9)
=3+(2#9)=3+18=21
3. 20$(3*4)!1
= 20 12 !1= 5 3 !1= 2 3
4. 2!(3*4)$10
=2!12 10 =2!6 5 = 4 5 5.
3+([3+(!5)])
3!2#2 =
3+(!2)
3!4 = 1 !1 =!1 6.
12!(1!4)
2(5!1)"2!1 =
12!(!3)
16!1 = 15 15 =1
7. (2!5*(!1))$1!2*(!1)
= 2!5"(!1) 1 !2"(!1) = 2+5 1
+2=7+2=9
8. 2!5*(!1)$(1!2*(!1))
=2!5"(!1) 1!2"(!1) =2!!5 1+2 +2=2+ 5 3 = 11 5
- 2"(!1)
2 $2=
2#(!1)
2 2 = 2#1 2 = 2 2 =1
- 2+4"3
2
=2+4#9=2+36=38
- 2"4
2 +1
=2#16+1=32+1=33
- 1!3"(!2)
2 #2
=1!3#4#2=1!24=!23
13. 3^2+2^2+1
=3 2 +2 2
+1=9+4+1=14
14. 2^(2^2-2)
=2 (2 2 !2) =2 4!2 =2 2 =4 15.
3!2(!3)
2
!6(4!1)
2 = 3!2#9 !6(3) 2 = 3!18 !6#9 = !15 !54 = 5 18 16.
1!2(1!4)
2
2(5!1)
2 "2 =
1!2(!3)
2 2(4) 2 "2 = 1!2#9
2#16#2
= 1!18 64 =!17 64
17. 10*(1+1/10)^3
=10 % 1+ 1 10 & 3
=10(1.1)
3
=10#1.331=13.31
18. 121/(1+1/10)^2
= 121 !1+ 1 10 " 2 = 121 1.1 2 = 121 1.21
=100 2 / 4
Solutions Section 0.1
- 3
' !2"3 2
!(4!1)
2( =3) *++ !2#9 !3 2 , -..=3 / !18 !9
=3#2=6
- !
'
8(1!4)
2
!9(5!1)
2( =!/ 8#9 !9#16
=!% 72 !144 & =!% !1 2 & = 1 2
- 3
) *++ 1!% !1 2 & 2 , -..2 +1 =3 / 1!1 4
2 +1 =3 / 3 4
2 +1=3 / 9 16
+1 = 27 16 +1= 43 16
- 3
) *++ 1 9 !% 2 3 & 2 , -..2 +1 =3 / 1 9 !4 9
2 +1 =3 / !3 9
2 +1=3 / !1 3
2 +1 =3 1 9 +1= 3 9 +1= 4 3
23. (1/2)^2-1/2^2
=# 1 2 $ 2 !1 2 2 = 1 4 !1 4 =0
24. 2/(1^2)-(2/1)^2
= 2 1 2 !# 2 1 $ 2 = 2 1 !4 1 =!2
25. 3#(2!5) = 3*(2-5)
26. 4+
5 9 = 4+5/9 or 4+(5/9) 27.3 2!5
= 3/(2-5)28.
4!1 3
= (4-1)/3
29.3!1 8+6
= (3-1)/(8+6)
Note 3-1/8-6 is wrong, as it corresponds to 3!1 8 !6.
30. 3+
3 2!9
= 3+3/(2-9)
31. 3!
4+7 8
= 3-(4+7)/832.
4#2 !2 3 " = 4*2/(2/3) or (4*2)/(2/3) 33.2 3+1 !12 2 = 2/(3+x)-x*y^234. 3+ 3+1 12 = 3+(3+x)/(x*y)
35. 3.11
3 !41 !2 !60 1 2 !1 = 3.1x^3-4x^(-2)-60/(x^2-1)
36. 2.11
!3 !1 !1 + 1 2 !3 2 = 2.1x^(-3)-x^(-1)+(x^2-3)/2 3 / 4
Solutions Section 0.1 37.!2 3 " 5
= (2/3)/5
38.2 !3 5 "
= 2/(3/5)
- 3
- ! 5
#6
= 3^(4-5)*6
Note that the entire exponent is in parentheses.
40.2
- + 5
- ! 9
= 2/(3+5^(7-9))
Note that the entire exponent is in parentheses.
- 3
- 0 0
3 1+ 4
4 ! 3
= 3*(1+4/100)^(-3)
- 3
- 0 0
3 1+4
4 ! 3
= 3((1+4)/100)^(-3)
- 3
2 1 ! 1
+4 1 !1 = 3^(2*x-1)+4^x-1
- 2
- 1
- 2
- 1
1 2 !( 2
) 2 = 2^(x^2)-(2^(2*x))^2
2
! 1 + 1
= 2^(2x^2-x+1) Note that the entire exponent is in parentheses.
- 2
- 1
- 5
- 1
- 1
- 3
2 ! 1 +1 = 2^(2x^2-x)+1 Note that the entire exponent is in parentheses.
47.
! 2 1 2!3 5 ! 2 1 = 4*e^(-2*x)/(2-3e^(-2*x)) or 4(*e^(-2*x))/(2-3e^(-2*x)) or (4*e^(-2*x))/(2-3e^(-2*x)) 48.5
+5 ! 2 1 5
!5 ! 2 1 = (e^(2*x)+e^(-2*x))/(e^(2*x)- e^(-2*x))
% 1!!!1 2 " 2 & 2 +1
= 3(1-(-1/2)^2)^2+1
- 3
6 7 8 8 1 9 !% 2 3 & 2 9
:
; ; 2 +1 = 3(1/9-(2/3)^2)^2+1
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