Textbook pdf's

19. a. y 7
b. y 5x 5
c. y 18x 9
d. y 216x 486
20. a. 700 000
b. 109 000>
h
Chapter 1 Test, p. 60
1.
2.
1
1
lim q lim
xS1 x1 xS1 x1 q
13
3. a. lim f 1x2 does not exist.
xS1
b. 1
c. 1
d. x 1 and x 2
4. a. 1 km>
h
b. 2 km>
h
5.
6.
7.
16 h 16
h
31
a. 12 d. 3 4
b.
7
1
e.
5
6
c. 4
1
f.
12
1. a.
1
a 8 d.
a 2 b 7
8. a. a 1, b 18 5
Chapter 2
Review of Prerequisite Skills,
pp. 62–63
b. 8a 6 e. 48e 18
c. 2p
f.
2a 6
b
2. a. x 7 6
b. 4x 4 c. a 1 3
3. a. 3 2
c. 3 5
b. 2 d. 1
4. a. x 6y 21 0
b. 3x 2y 4 0
c. 4x 3y 7 0
5. a. 2x 2 5xy 3y 2
b. x 3 5x 2 10x 8
c. 12x 2 36x 21
d. 13x 42y
e.
f.
29x 2 2xy 10y 2
13x 3 12x 2 y 4xy 2
6. a.
15
x 0, 2
2 x;
y 5
b.
y 2, 0, 5
4y 2 1y 22 ; 3. Answers may vary. For example:
y
4
8
c. h k
9 ; 2
x
2
d. x y, y
1x y2 2;
–3 –2 –1 0 1 2 3
–2
11x 2 8x 7
e.
; x 0, 1
–4
2x1x 12
4x 7
f.
x 3, 2
1x 321x 22 ; y
4
7. a. 12k 3212k 32
2
b. 1x 421x 82
x
c. 1a 1213a 72
d. 1x 2 –3 –2 –1 0 1 2 3
121x 121x 12
–2
e. 1x y21x 2 xy y 2 2
–4
f. 1r 121r 121r 221r 22
8. a. 1a b21a 2 ab b 2 2
4. a. 5a 5h 2; 5h
b. 1a b2 1a 4 a 3 b a 2 b 2
b. a 2 2ah h 2 3a 3h 1;
ab 3 b 4 2
2ah h 2 3h
c. 1a b21a 6 a 5 b a 4 b 2
c. a 3 3a 2h 3ah 2 h 3 4a
a 3 b 3 a 2 b 4 ab 5 b 6 2
4h 1;
d. a n b n 1a b21a n1
3a 2 h 3ah 2 h 3 4h
a n2 b a n3 b 2 a 3 b n3
d. a 2 2ah h 2 a h 6;
ab n2 b n1 2
2ah h 2 h
53
9. a. 17
c.
e. 7a 7h 4; 7h
8
f. 4 2a 2h a 2 2ah h 2 ;
b. 10 d. about 7.68
2h h 2 2ah
32
1
10. a.
5. a. 2 c.
2
2
43 6
b. 9 d. 5
b.
3
6. a. 5
c. 18x 2 7
3
30 172
b. 4x 4 d.
c.
23
7. a. 7
23x 2
11 46
d. b. 2 c. 6x
5
1x 12 2
11. a. 3h 10; expression can be used to 8. f ¿102 4; f ¿112 0; f ¿122 4
determine the slope of the secant line
y
between 12, 82 and 12 h, f 12 h22
4
b. For h 0.01: 10.03
c. value represents the slope of the
3
secant line through 12, 82 and
2
12.01, 8.10032
Section 2.1, pp. 73–75
1. a.
b.
c.
5xR x 26
5xR x 26
5xR6
d. 5xR x 16
e.
f.
5xR6
5xR x 7 26
2. The derivative of a function represents
the slope of the tangent line at a give
value of the independent variable or the
instantaneous rate of change of the
function at a given value of the
independent variable.
–2 –1 0 1 2 3 4
–1
9. a. y
1
–2
4
2
–4 –2 0 2 4
–2
–4
x
x
NEL
Answers 629