Elementary Functions and Applications |
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Page 14
... 1 X'X , and PNL Y ' Y. Then the numbers OM = x and ON = y are called rectangular coördinates of P , x the abscissa , and y the ordinate . In the figure , the ordinate y is 14 ELEMENTARY FUNCTIONS Rectangular Coördinates.
... 1 X'X , and PNL Y ' Y. Then the numbers OM = x and ON = y are called rectangular coördinates of P , x the abscissa , and y the ordinate . In the figure , the ordinate y is 14 ELEMENTARY FUNCTIONS Rectangular Coördinates.
Page 15
... abscissa of a point is positive or negative according as the point lies to the right or left of the y - axis . The ordinate is positive or negative according as the point lies above or below the x - axis . In the figure , the abscissa x ...
... abscissa of a point is positive or negative according as the point lies to the right or left of the y - axis . The ordinate is positive or negative according as the point lies above or below the x - axis . In the figure , the abscissa x ...
Page 17
... abscissa of the point . In the above definition the word curve is used in a very gen- eral sense to mean one or more lines , straight or curved , or parts of such lines . Functions exist which have no graphs , and the graphs of others ...
... abscissa of the point . In the above definition the word curve is used in a very gen- eral sense to mean one or more lines , straight or curved , or parts of such lines . Functions exist which have no graphs , and the graphs of others ...
Page 22
... the table of values . For points on the x - axis , y = 0 , and hence the abscissas of the points where the graph cuts the x - axis are obtained by set- ± √8 = ± 2.8 . = ± These ab- 22 ELEMENTARY FUNCTIONS Uniform Acceleration.
... the table of values . For points on the x - axis , y = 0 , and hence the abscissas of the points where the graph cuts the x - axis are obtained by set- ± √8 = ± 2.8 . = ± These ab- 22 ELEMENTARY FUNCTIONS Uniform Acceleration.
Page 23
... abscissas of the points where the graph cuts the x - axis , and the intercepts on the y - axis are the ordinates of the points of intersection with the y - axis . Since x = 0 for all points on the y - axis , the intercepts on the y ...
... abscissas of the points where the graph cuts the x - axis , and the intercepts on the y - axis are the ordinates of the points of intersection with the y - axis . Since x = 0 for all points on the y - axis , the intercepts on the y ...
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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.