# I. Miller's An Introduction To Mathematics - With Applns to Science and PDF

By I. Miller

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**Extra info for An Introduction To Mathematics - With Applns to Science and Agriculture**

**Sample text**

Exercises and Problems Obtain the graphs of the following equations: 1. x 2y - 6 = 0. + Solution. Solve the equation for y, thus getting y = x 3 -. This expresses y as a function of x. Now, assigning values to x and comof y, we obtain the following table the values puting corresponding of values: Plotting the points (4, 5), 4), ... we obtain the (2, graph (Fig. 15), of the above We might have equation. two of the above and connected them by plotted only points a straight the '^ required Thus thus obtaining line, graph.

The Statistical Abstract for 1915 gives the following figures for the values of exports and imports of merchandise for the years 1900 1915. AN INTRODUCTION TO MATHEMATICS 36 Make a graphical representation of these [CHAP. V statistics. 3. The Year Book, Department of Agriculture, gives the following South Dakota Farm prices of corn and hay for the years 1899-1919: Make a graph showing the price of corn also a graph showing the price of hay. Plot a graph of the attendance of students at your college or university for the years 1910-1930.

Rr3 the symbol T is a constant, whatever values V and r , may have, while V and r are variables. In most cases the letters a, 6, c, .... from the beginning of the alphabet are used to denote constants while the letters #, y, z at the end of the alphabet are used to denote variables. 26. Definition of a Function. When two variables, x and y, are so related that to definitely assigned values of x there correspond definite values of y, then y is said to be a function of x. V= V 3 is a function of r, in the equation, frrr , volume the radius, for to every value of r there corresponds a definite Thus + 2 3x 5 is a function of x, for expression, x to every value of x there corresponds a definite value for the volume.

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