Elementary Functions and Applications |
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Page 21
... ( x ) = x2 − 4 . Symmetry . We shall first see that the table of values need be computed only for positive values of x . Substituting -x for x , we have f ( x FUNCTIONS , EQUATIONS , AND GRAPHS 21 Variation Discussion of the Table of Values.
... ( x ) = x2 − 4 . Symmetry . We shall first see that the table of values need be computed only for positive values of x . Substituting -x for x , we have f ( x FUNCTIONS , EQUATIONS , AND GRAPHS 21 Variation Discussion of the Table of Values.
Page 35
... computed from the given function instead of being read from the graph . The method of finding a general expression for the average rate of change for any interval is illustrated in the EXAMPLE . Find the average rate of change of the ...
... computed from the given function instead of being read from the graph . The method of finding a general expression for the average rate of change for any interval is illustrated in the EXAMPLE . Find the average rate of change of the ...
Page 38
... computed when that of x is given by the application , a finite number of times , of the operations of algebra , namely , addi- tion , subtraction , multiplication , division , involution . and evolution . The following are examples of ...
... computed when that of x is given by the application , a finite number of times , of the operations of algebra , namely , addi- tion , subtraction , multiplication , division , involution . and evolution . The following are examples of ...
Page 49
... , by hypothesis , the values of Ay / Ax computed for P1 and P2 and for P1 and P3 are equal , it follows that QP 2 PIQ RP3 PIR Hence the triangles PiQP2 and P1RP , are similar ( LINEAR FUNCTIONS 49 Characteristic Property of a Straight Line.
... , by hypothesis , the values of Ay / Ax computed for P1 and P2 and for P1 and P3 are equal , it follows that QP 2 PIQ RP3 PIR Hence the triangles PiQP2 and P1RP , are similar ( LINEAR FUNCTIONS 49 Characteristic Property of a Straight Line.
Page 51
... computed from two points P1 ( x1 , y1 ) and P2 ( x2 , y2 ) on the line , we have , in either figure , m = Ay QP2 Ax PIQ M2P2 - M1P1 Y2 Yı OM 2 - OM1 X2 ― = 31 – 2 . X1 X1 - X2 In finding Ay and Ax it is essential that both coördinates ...
... computed from two points P1 ( x1 , y1 ) and P2 ( x2 , y2 ) on the line , we have , in either figure , m = Ay QP2 Ax PIQ M2P2 - M1P1 Y2 Yı OM 2 - OM1 X2 ― = 31 – 2 . X1 X1 - X2 In finding Ay and Ax it is essential that both coördinates ...
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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.