(t))is the radius coordinate correspondingto ¢].Although thepresenceof theinverse functionmight looka bitforbidding, it'sactually quite innocent: Applying the First Fundamental Theorem of Calculusand the Chain Ruleto (4:) we immediately getA'(t)=(p(Ð(t))2-O'O=(r(t)20'(t), since...
Spivak's Calculus is a classic for a reason. It provides an accessible yet rigorous introduction to analysis. The exercises in Calculus are often a wondrous intersection of insightful and challenging. Also Answer keys are available at the end of the book and on a separate manual. 上...