For the family of curves given by the general equation r" = a” cos nô, where a > 0, sketch the following special cases: (a) n = −2, a rectangular hyperbola, (b) n = –1, a straight line, (c) n = – 1/2, a parabola, (d) n = 1, a circle, ...
Pure Mathematics: Cartesian and polar curve sketching
... ) When f ( x ) > 0 , the curve is rising ; when f ' ( x ) < 0 , the curve is falling ; when f ( x ) = 0 , the curve is at a critical point . y f ( x ) < 0 f ( x ) > 0 f ' ( x ) = 0 x ( 2 ) When f ( x ) > 0 MAXIMA AND MINIMA 89 Curve ...
Curve-Sketching
Cartesian and Polar Curve Sketching
Pure Mathematics: Cartesianand Polar Curve Sketching
Excel Fast Track
The final chapter of the book discusses the use of commercial spreadsheets to create animation effects. The book is heavily illustrated, with more than 200 graphs and 60 tables.
... curve is concave up, while for x > 0 we again have f"(x) > 0, again indicating that the curve is concave up. So the concavity does not change at x = 0 and therefore it is not a point of inflection. In fact, the graph is easy to sketch ...
S. K. Patel. Chapter 1 : Curve Sketching INTRODUCTION A structure , no matter how complicated , is composed of basic ... Sketching the Curves A sketch of the.
Analysis of Functions: Mathematics: Participant Manual: Curve Sketching