Think About It Use a graphing utility to graph the functions f x = x and g x = 6 arctan x . For x > 0 , it appears that g > f . Explain how you know that there exists a positive real number a such that g > f for x > a . Approximate the number a .
Think About It Use a graphing utility to graph the functions f x = x and g x = 6 arctan x . For x > 0 , it appears that g > f . Explain how you know that there exists a positive real number a such that g > f for x > a . Approximate the number a .
Solution Summary: The author explains how to graph the functions f(x)=sqrtx's and glt## with the help of graphing utility.
Think About It Use a graphing utility to graph the functions
f
x
=
x
and
g
x
=
6
arctan
x
.
For
x
>
0
,
it appears that
g
>
f
.
Explain how you know that there exists a positive real number
a
such that
g
>
f
for
x
>
a
.
Approximate the number
a
.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
7. From a point 20 m away on a level ground, the angle of elevation to the bottom of a
the top of the window is 32°. Calculate the
window is 27° and the angle of elevatim
height of the window.
(3 marks)
32
SOUCAHTOA
Rom
Coso-Adj
opponite
1270
H
X
Hyp
Tant=OPP
Adj
20 #
Zom
Adjacent
CoS2E 20 XHX Tanz 20
20
K
-0.0445503261 -1.764201788
0-044550326 60044550320
(1 mark) 3960
8. All odd numbers from 1 to 10 are arranged in descending order to form a number.
(i) Write the number.
35798.
97531
31
(ii) Write the total value of the second digit of the number formed in (a) (i)
FA 7X1000-7000
이
(1 mark)
9. A cylinder has a diameter of 28 cm and the height is 18 cm. Calculate its volume.
2
22 × 14 × 14 × 18
-110880m
3
(3 marks)
10. The figure below shows a right pyramid with AB = 3 cm, BC = 5 cm, and AV
VC = VD = 4 cm. Draw its net.
V
3+
12
7/18
(2/20
2105
SSS
20
Chapter 1 Solutions
WebAssign Printed Access Card for Larson's Trigonometry, 10th Edition, Single-Term
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