An innovative text that emphasizes the graphical, numerical and analytical aspects of calculus throughout and often asks students to explain ideas using words. This problem driven text introduces topics with a real-world problem and derives the general results from it. It can be used with any technology that can graph and find definite integrals numerically. The derivative, the integral, differentiation, and differential equations are among the topics covered.13. / i y4 + l dy = lim - / 6a Aroo 2J\ 2y (t/2)2+l 6 dy = lim -arctan(2/ ) 6a oo 2 = lim -[arctan(6 ) - arctan 1] 6aoo 2 = (1/2)[jt/2 - 7r/4] = 7r/8. 15. We use V- 26 with a = 4 and 6 = -4 ... -^=e~^. dx. JO VX 6a0+ Jb Jx y/x 2-2e-^. = lim -2e~^ 6a0+ 21.
|Title||:||Calculus - Preliminary Edition, Student Solutions Manual|