Mathematics for Collegiate Students of Agriculture and General Science |
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Page 2
... difference is as small as we please . For example , 3.162277 < √10 < 3.162278 and the difference between the first and the last of these num- bers is only .000001 . Two such rational numbers whose dif- ference is still less can easily ...
... difference is as small as we please . For example , 3.162277 < √10 < 3.162278 and the difference between the first and the last of these num- bers is only .000001 . Two such rational numbers whose dif- ference is still less can easily ...
Page 35
... difference of the roots of the equation 5x2 + 4x + k O equal the sum of the squares of the roots ? = 6. Find the equations whose roots are double the roots of the equa- tions in Ex . 2 . 7. Find the equations whose roots are greater by ...
... difference of the roots of the equation 5x2 + 4x + k O equal the sum of the squares of the roots ? = 6. Find the equations whose roots are double the roots of the equa- tions in Ex . 2 . 7. Find the equations whose roots are greater by ...
Page 43
... difference for each year between the highest and lowest price for that year . Does there appear to be any relation between these prices and the period of harvest ? 10. The following data gives the Chicago price of No. 2 oats by months ...
... difference for each year between the highest and lowest price for that year . Does there appear to be any relation between these prices and the period of harvest ? 10. The following data gives the Chicago price of No. 2 oats by months ...
Page 54
... difference between their abscissas plus the square of the difference between their ordinates . It should be noticed that we are simply finding the hypotenuse of a right triangle whose sides are x2 x1 and y2 - Y1 . The fact that formula ...
... difference between their abscissas plus the square of the difference between their ordinates . It should be noticed that we are simply finding the hypotenuse of a right triangle whose sides are x2 x1 and y2 - Y1 . The fact that formula ...
Page 59
... difference , ( 3 ) the product , ( 4 ) the quotient of its distances from the axes is a constant ( k ) ? 11. What is the equation of the locus of a point which moves so that ( 1 ) the sum , ( 2 ) the difference , ( 3 ) the product , ( 4 ) ...
... difference , ( 3 ) the product , ( 4 ) the quotient of its distances from the axes is a constant ( k ) ? 11. What is the equation of the locus of a point which moves so that ( 1 ) the sum , ( 2 ) the difference , ( 3 ) the product , ( 4 ) ...
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Mathematics for Collegiate Students of Agriculture and General Science Alfred Monroe Kenyon,William Vernon Lovitt No preview available - 2016 |
Common terms and phrases
abscissas algebraic amount annuity arithmetic mean average ax² axes axis binomial binomial coefficients binomial theorem called cent circle coefficient common logarithm completing the square computed coördinates correlation cos² cosine COTANGENT curve decimal denoted determine distance ears ellipse equal error EXAMPLE EXERCISES exponent feet Find the equation forces formula frequency geometric given equation graph Hence hyperbola inches intersection law of sines law of tangents length locus Log10 Value Log10 logarithm magnitude mantissa measured multiplying negative parabola parallel perpendicular plane Plot positive quadratic quadratic equation RADIANS radius ratio real number represents respect resultant side sin² sine slope solution solve square root standard deviation straight line Substituting tabular difference tangent temperature term tion trigonometric functions Value Log10 Value varies vertex vertical weight whence x-axis y-axis zero
Popular passages
Page 59 - Find the equation of the locus of a point which moves so that the sum of the squares of its distances from the x and the j/-axis equals 4.
Page 122 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Page 277 - 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 124 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Page 199 - Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.
Page 167 - moment of a force" with respect to a point is the product of the force and the perpendicular distance from the given point to the line of action of the force.
Page 223 - The weight of an object above the surface of the earth varies inversely as the square of its distance from the center of the earth.
Page 207 - Find and classify the equation of the locus of a point which moves so that...
Page 204 - PF'/PH'= e, by the definition of the curve. Furthermore :J (b) \PF—PF'\=2a. In fact, the hyperbola is often defined as the locus of a point which moves so that the difference of its distances from two fixed points is constant.
Page 74 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.