Find the value of \(x\) for which the shaded area is least 1. In order to find the shaded area, we would need to find the area of the rectangle then subtract the areas of the surrounding triangles.

Calculus has two parts: differential and integral ... This is a promising start, but the sceptic can raise various objections that would have to be answered: 1. Could there be a figure for which ...

Review of difference quotient, least squares modeling, limit of difference quotient, differential calculus: derivatives, differentials, higher-order derivatives, implicit differentiation, relative and ...

Techniques for studying ordinary differential equations (ODEs) have become part of the required toolkit for students in the applied sciences. This book presents a modern treatment of the material ...

A satellite is dropping back to Earth. The distance it has fallen, \(D\) metres, since first spotted is given by \(D(t) = 100t + 5{t^2}\), where \(t\) is the length of time in seconds since first ...