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Contenido

Graph of the Linear Function mx
20
Discussion of the Table of Values
21
Uniform Acceleration
22
Equation of a Straight Line
23
Application to the Solution of Problems
24
Functions becoming Infinite Asymptotes
25
Possible Errors in Arithmetic Calculations Abridged Mul tiplication and Division
26
Empirical Data Problems
27
Variation of a Function
28
72
29
Graphs of ax2 and afx
31
Instantaneous Velocity
32
Rate of Change Slope of Tangent Line
33
Average Rate of Change of a Function
34
Graph of the Quadratic Function ax² + bx + c
35
The Function
36
Classification of Functions
38
Summary
40
21
44
25
45
CHAPTER II
46
Characteristic Property of a Straight Line
49
Slope of a Straight Line
51
Graphical Solution of Problems involving Functions which Change Uniformly
54
Common Logarithms
82
Graph of the exponential function kbno
88
Empirical Data Problems
104
Tables of Squares Cubes Square Roots Cube Roots and Reciprocals
107
Graph of x n 1
110
Graph of x 0 n 1 Graphs of Inverse Functions
113
Graph of n 0 Graphs of Reciprocal Functions 41 Summary of Graph of
119
Interpolation
121
147
122
Variation
125
Empirical Data Problems ax +
127
The Linear Fractional Function cx + d
131
Integral Rational Functions 47 The Remainder Theorem
133
Synthetic Division 49 Graph of a Polynomial 50 Extent of the Tables
137
Solution of Equations Rational Roots
140
Translation of the yaxis
144
Horners Method of Solution of Equations
147
Graph of the Function f ax
150
Related Functions and their Graphs
151
Some Operations of Algebra regarded as Properties of Func tions 150 151
153
CHAPTER IV
158
Angles of any Magnitude
164
Trigonometric Functions of any Angle
165
Radians
170
Graphs of the Trigonometric Functions
171
Functions of Complementary Angles
177
Tables of Trigonometric Functions
178
Solution of Right Triangles
180
Applications
183
Parallelogram Law Velocities Accelerations Forces
185
107
187

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Página 368 - This is the same as the number of permutations of n things taken r at a time, and hence r!C(»,r) = P(«,r) '-- It is interesting to know that the number of combinations of n things taken r at a time is the same as the number of combinations of n things taken n — r at a time.
Página xviii - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Página xviii - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Página 171 - A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.
Página 289 - Now all know that the intensity of illumination varies inversely as the square of the distance.
Página 204 - Given two sides and an angle opposite one of them. The angle opposite the other given side is found by Theorem I. The third angle is obtained by subtracting the sum of the other two from 180°.
Página 155 - It is found that the quantity of work done by a man in an hour varies directly as his pay per hour and inversely as the square root of the number of hours he works per day. He can finish a piece of work in six days when working 9 hours a day at Is.
Página 181 - You have learned that the tangent of an acute angle of a right triangle is the ratio of the side opposite the angle to the side adjacent to the angle.
Página 368 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Página 320 - The vertices of the triangles form the vertex of the pyramid. The altitude of the pyramid is the perpendicular distance from the vertex to the base.

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