Mathematics for Collegiate Students of Agriculture and General Science |
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Page 26
... find a number d such that ax2 + bx + d is the square of a linear factor in x and it can always be done as follows : 1 ) extract the square root of the first term ; 2 ) double this ; 3 ) divide this into the second term ; 4 ) square the ...
... find a number d such that ax2 + bx + d is the square of a linear factor in x and it can always be done as follows : 1 ) extract the square root of the first term ; 2 ) double this ; 3 ) divide this into the second term ; 4 ) square the ...
Page 35
... Find without solving the sum and the product of the roots of each equation in Ex . 2 . 4. For what values of k will ... Find the equations whose roots are double the roots of the equa- tions in Ex . 2 . 7. Find the equations whose roots ...
... Find without solving the sum and the product of the roots of each equation in Ex . 2 . 4. For what values of k will ... Find the equations whose roots are double the roots of the equa- tions in Ex . 2 . 7. Find the equations whose roots ...
Page 37
... find its angle of elevation to be 56 ° and 42 ° respectively . The observers are one mile apart . Find the height of the balloon at the time the observations were taken . Ans . 0.6 mi . ( nearly ) . 4. In order to determine the distance ...
... find its angle of elevation to be 56 ° and 42 ° respectively . The observers are one mile apart . Find the height of the balloon at the time the observations were taken . Ans . 0.6 mi . ( nearly ) . 4. In order to determine the distance ...
Page 38
... Find the length , in rods , of BE , and of AE . Ans . BE 185 rods ; AE 370 rods . 8. Continuing Ex . 7 , let F be the mid - point of AB , and G the mid- point of CD . Draw the quarter section line FG , cutting the line AE at H. Find the ...
... Find the length , in rods , of BE , and of AE . Ans . BE 185 rods ; AE 370 rods . 8. Continuing Ex . 7 , let F be the mid - point of AB , and G the mid- point of CD . Draw the quarter section line FG , cutting the line AE at H. Find the ...
Page 43
... Find from the graph that month in each year in which the highest price occurred . The lowest price . Find the difference for each year between the highest and lowest price for that year . Does there appear to be any relation between ...
... Find from the graph that month in each year in which the highest price occurred . The lowest price . Find the difference for each year between the highest and lowest price for that year . Does there appear to be any relation between ...
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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.