(A) Graph y = x + b for b = − 5 , − 3 , 0 , 3 and 5 simultaneously in the same coordinate system . Verbally describe the geometric significance of b . (B) Graph y = m x − 1 for m = − 2 , − 1 , 0 , 1 , and 2 simultaneously in the same coordinate system. Verbally describe the geometric significance of m . (C) Using a graphing calculator, explore the graph of y = m x + b for different values of m and b .
(A) Graph y = x + b for b = − 5 , − 3 , 0 , 3 and 5 simultaneously in the same coordinate system . Verbally describe the geometric significance of b . (B) Graph y = m x − 1 for m = − 2 , − 1 , 0 , 1 , and 2 simultaneously in the same coordinate system. Verbally describe the geometric significance of m . (C) Using a graphing calculator, explore the graph of y = m x + b for different values of m and b .
Solution Summary: The author analyzes the equation y=x+b and its significance.
(A) Graph
y
=
x
+
b
for
b
=
−
5
,
−
3
,
0
,
3
and
5
simultaneously in the same coordinate
system. Verbally describe the geometric significance of
b
.
(B) Graph
y
=
m
x
−
1
for
m
=
−
2
,
−
1
,
0
,
1
,
and
2
simultaneously in the same coordinate
system. Verbally describe the geometric significance of
m
.
(C) Using a graphing calculator, explore the graph of
y
=
m
x
+
b
for different values of
m
and
b
.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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
No chatgpt pls will upvote
Find an nfa that accepts the language L(aa (a + b)). Create and test the NFA in Jflap. Test the strings: aab,
ab, aaaa, aaaab, baab, aa, abbbb, a, b, 1. Submit the Jflap diagram and the Jflap test cases.
4. Find an nfa that accepts the language L (aa* (a+b)).
Chapter 1 Solutions
Pearson eText for Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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