Elementary Functions and Applications |
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Page 53
... pounds of the alloy . What does the slope represent ? 8. A pound of an alloy contains 3 parts of silver and 5 of ... pounds of silver , and how much silver there is in 10 pounds of the alloy . Interpret the slope . 9. Ten ounces of ...
... pounds of the alloy . What does the slope represent ? 8. A pound of an alloy contains 3 parts of silver and 5 of ... pounds of silver , and how much silver there is in 10 pounds of the alloy . Interpret the slope . 9. Ten ounces of ...
Page 56
... pound . How many pounds of rice will he receive ? 7. At what time are the hands of a clock together between three and four o'clock ? When are they opposite ? Hint : The position of either hand may be determined by the number of minute ...
... pound . How many pounds of rice will he receive ? 7. At what time are the hands of a clock together between three and four o'clock ? When are they opposite ? Hint : The position of either hand may be determined by the number of minute ...
Page 59
... pounds , required to lift a weight of W pounds was found to be P 0.3 W +0.5 . Construct the graph . What does the slope represent ? The intercept on the P - axis ? What is the value of the rate of increase of P with respect to W ? = 4 ...
... pounds , required to lift a weight of W pounds was found to be P 0.3 W +0.5 . Construct the graph . What does the slope represent ? The intercept on the P - axis ? What is the value of the rate of increase of P with respect to W ? = 4 ...
Page 64
... pounds . 14. The stock of a corporation yields an annual dividend of 5 % . What is the relation between the total amount a stockholder receives in divi- dends and the time the stock is held ? If the graph of this relation is drawn ...
... pounds . 14. The stock of a corporation yields an annual dividend of 5 % . What is the relation between the total amount a stockholder receives in divi- dends and the time the stock is held ? If the graph of this relation is drawn ...
Page 68
... find its equation . 5. In an experiment in stretching a brass wire , it is assumed that the elongation E is connected with the tension T by a linear relation . If = == T = 18 pounds when E 0.1 inch 68 ELEMENTARY FUNCTIONS.
... find its equation . 5. In an experiment in stretching a brass wire , it is assumed that the elongation E is connected with the tension T by a linear relation . If = == T = 18 pounds when E 0.1 inch 68 ELEMENTARY FUNCTIONS.
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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.