Elementary Functions and Applications |
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Elementary Functions and Applications (Classic Reprint) Arthur Sullivan Gale No preview available - 2018 |
Common terms and phrases
abscissas acceleration altitude angle approximately average rate ax² ball coefficient common logarithms computed constant Construct the graph coördinates cosines cubic curve decimal denote determined distance equal EXAMPLE EXERCISES exponential function feet per second Find the equation find the value formulas fraction Hence horizontal inches increases integral intercept inverse inverse function law of cosines law of sines logarithms maximum measured miles an hour minimum point moving negative obtained ordinates P₁ parabola perpendicular plane Plot the graph point of inflection polynomial positive pounds properties quadrant quadratic function quotient radians radius rate of change ratio relative error represented respect right triangle roots Section sides sin² sines slope solution Solve square straight line Substituting symmetrical table of values tangent line 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 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 289 - Now all know that the intensity of illumination varies inversely as the square of the distance.
Page 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°.
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.
Page 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.