## Engineering Mathematics-IIAbout the Book: This book Engineering Mathematics-II is designed as a self-contained, comprehensive classroom text for the second semester B.E. Classes of Visveswaraiah Technological University as per the Revised new Syllabus. The topics included are Differential Calculus, Integral Calculus and Vector Integration, Differential Equations and Laplace Transforms. The book is written in a simple way and is accompanied with explanatory figures. All this make the students enjoy the subject while they learn. Inclusion of selected exercises and problems make the book educational in nature. It shou. |

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### Contents

Differential Calculus I 1 | 61 |

Inverse Laplace Transforms 369 | 62 |

1 | 68 |

Laplace Transforms 321 368 | 69 |

2 | 74 |

### Common terms and phrases

2sinxcosx lim acosx bsinx bg bg bg cosec x lim cosx COSX lim cot x Solution cot x x cotx critical points equations F Expand ex expansion extreme values F H G Find the extreme find the maximum form form form form the equations fsin2x function f function f x fxxy Hence Hospital rule Hospital rule lim indeterminate forms lim cos hx lim log x x lim sinx lim Solution lim x lim lim x log lim x->0 xcosx lim xa log sin ax Maclaurin's MAXIMA AND MINIMA mean value theorem partial derivatives Q P form Q P lim required minimum value rule lim x->0 Saddle point sec2 second degree terms sin2 sinx Solution Let F stationary point Taylor's theorem value of x2 x cos y xaxbx xf xyf xsinx xxx x abc z2 subject