DIFFERENTIAL AND INTEGRAL CALCULUS

An Introductory Course for Colleges and Engineering SchoolsThe function is also called the dependent variable, and the argu ment the independent variable.For example, the volume of a sphere is a function of its radius, because it depends for its value upon the value of the radius. Also, the ordinate of a point on a curve is a function of its abscissa, the sine of an angle is a function of the angle, the velocity Of a falling body is a function of the time that it has been falling, etc., etc.On the other hand, since the radius of a sphere depends for its value upon the volume, the radius may be regarded as the func tion and the volume as the argument. So, too, the abscissa of a point on a curve may be regarded as a function of the ordinate, an angle as a function of its Sine, etc., etc. And, in general, if y is a function of x, x is also a function of y.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.