Elementary Functions and Applications |
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Page vi
... assumed without proof . The appeal to the intuition underlying most of these assumptions is justified by the belief that the logical presentation of these theorems re- quires a foundation too abstract for the general student , or too ...
... assumed without proof . The appeal to the intuition underlying most of these assumptions is justified by the belief that the logical presentation of these theorems re- quires a foundation too abstract for the general student , or too ...
Page 7
... assumed in economics that the functional relation may be ex- pressed by the equation y m = - х where m is a constant which can be determined in any concrete case . In this course we shall confine ourselves to the study of functions of ...
... assumed in economics that the functional relation may be ex- pressed by the equation y m = - х where m is a constant which can be determined in any concrete case . In this course we shall confine ourselves to the study of functions of ...
Page 18
... assuming for x intermediate values such as 2.5 , 2.8 , etc. , as may best serve the purpose . The necessity for this last remark is shown by the fact that three points , situated as in Fig . 16 ( a ) , can be con- nected as in Figs . 16 ...
... assuming for x intermediate values such as 2.5 , 2.8 , etc. , as may best serve the purpose . The necessity for this last remark is shown by the fact that three points , situated as in Fig . 16 ( a ) , can be con- nected as in Figs . 16 ...
Page 20
... assumed for x , and the arithmetic progression 1 , 2 , 3 , 4 , Plot the points whose coördinates are ( 1 , the graph . • • • be the values assumed for y . 1 ) , ( 2 , 2 ) , ( 4 , 3 ) , etc. , and draw At what value of x should the graph ...
... assumed for x , and the arithmetic progression 1 , 2 , 3 , 4 , Plot the points whose coördinates are ( 1 , the graph . • • • be the values assumed for y . 1 ) , ( 2 , 2 ) , ( 4 , 3 ) , etc. , and draw At what value of x should the graph ...
Page 22
... assuming values of y , all values of y less than 4 must be excluded . - Graphically , since no values of x are to be excluded , the curve runs off indefinitely to the right and left . Since no positive values of y are excluded the graph ...
... assuming values of y , all values of y less than 4 must be excluded . - Graphically , since no values of x are to be excluded , the curve runs off indefinitely to the right and left . Since no positive values of y are excluded the graph ...
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Other editions - View all
Elementary Functions and Applications (Classic Reprint) Arthur Sullivan Gale No preview available - 2018 |
Common terms and phrases
abscissas algebraic altitude angle approximately arithmetic mean asymptote average rate ax² Ay/Ax ball class intervals coefficient common logarithms computed constant Construct the graph coördinates curve denote determined deviation distance equal EXAMPLE EXERCISES exponential function feet per second Find the equation find the value fraction frequency function Hence horizontal inches increases integral intercept inverse inverse function law of cosines law of sines logarithms maximum mean measurements miles an hour minimum point negative obtained ordinates P₁ pairs of values parabola plane Plot the graph point of inflection polynomial positive probable error properties quadrant quadratic function radians radius rate of change ratio relation relative error represented right triangle roots Section sides sin² slope solution Solve square straight line Substituting table of values tangent line temperature Theorem tion variable velocity vertical volume weight whence x-axis y-axis
Popular passages
Page 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.
Page 223 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Page 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.
Page xviii - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Page 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.
Page 223 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page 289 - Now all know that the intensity of illumination varies inversely as the square of the distance.
Page 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.
Page 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.
Page 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.