Differential Calculus: With Applications and Numerous Examples; an Elementary TreatiseMacmillan, 1886 - 439 páginas |
Dentro del libro
Resultados 1-5 de 54
Página 47
... passes through a Y X Fig . 14 . given point P , as in Fig . 14 , and then there are two or more tangents at P and therefore two or more values of dy dx dy da and at P. But the product of the dx dy and the dx dy ' which belong to any the ...
... passes through a Y X Fig . 14 . given point P , as in Fig . 14 , and then there are two or more tangents at P and therefore two or more values of dy dx dy da and at P. But the product of the dx dy and the dx dy ' which belong to any the ...
Página 63
... actual substitutions can be avoided and the following is what passes in the mind : - devcot x ) dx = devcotz ) dcot x ) d√cot x ) ( cot x ) d ( cot x ) dx = evcotx 1 · ( -cosec2x ) . 2 √cot x Ex . 3. Let y = ( sin x ) STANDARD FORMS . 63.
... actual substitutions can be avoided and the following is what passes in the mind : - devcot x ) dx = devcotz ) dcot x ) d√cot x ) ( cot x ) d ( cot x ) dx = evcotx 1 · ( -cosec2x ) . 2 √cot x Ex . 3. Let y = ( sin x ) STANDARD FORMS . 63.
Página 113
... the function or any of its differential coefficients as x passes through the value zero , or if the remainder xn n ! P ( Ox ) does not become infinitely small when H n becomes infinitely large , for in this case the EXPANSIONS . 113.
... the function or any of its differential coefficients as x passes through the value zero , or if the remainder xn n ! P ( Ox ) does not become infinitely small when H n becomes infinitely large , for in this case the EXPANSIONS . 113.
Página 122
... passes through zero ? 47. If f ( x ) : = df ( x ) dx X 1 ' 1+ ex show that there is a discontinuity in as x passes through zero . 48. Prove f ( x + h ) + f ( x − h ) 2 h2 = f ( x ) + ¡ ƒ " ( x ) + 2 ! 0 = log x , 49. If du prove that u ...
... passes through zero ? 47. If f ( x ) : = df ( x ) dx X 1 ' 1+ ex show that there is a discontinuity in as x passes through zero . 48. Prove f ( x + h ) + f ( x − h ) 2 h2 = f ( x ) + ¡ ƒ " ( x ) + 2 ! 0 = log x , 49. If du prove that u ...
Página 131
... pass from a form in which differentials are used to the equivalent form in terms of differential coefficients . For instance , the equation Əz dz = dx + дх Əz az dy dy may be at once written dz dt - Əz dx , Əz dy + Ox dt by dt ' where t ...
... pass from a form in which differentials are used to the equivalent form in terms of differential coefficients . For instance , the equation Əz dz = dx + дх Əz az dy dy may be at once written dz dt - Əz dx , Əz dy + Ox dt by dt ' where t ...
Otras ediciones - Ver todas
Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Sin vista previa disponible - 2006 |
Términos y frases comunes
ALGEBRA angle Assistant-Master asymptote axis Cambridge cardioide centre chord circle co-ordinates coincident points conic Crown 8vo cusp cuts the curve cycloid denote differential coefficient dx dx dx dy dy dx ELEMENTARY ellipse envelope EXAMPLES Extra fcap fcap Fellow of Trinity Find function Globe 8vo Hence independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE maxima and minima minimum value negative normal ordinate origin Owens College p(x+h parabola parallel pedal equation perpendicular point of contact point of inflexion polar positive pedal PRIMER Professor prove quantity radius of curvature revised School Show straight line tangent Taylor's Theorem Trace the curve Trinity College ultimately coincident vanish whence zero ди ди ду дх
Pasajes populares
Página 35 - With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, revised and enlarged. Crown 8vo. gs. A TREATISE ON MAGNETISM. Designed for the Use of Students in the University.
Página 52 - Thousand. *' Stands alone as the one general history of the country, for the sake of which all others, if young and old are wise, will be speedily and surely set aside."— ACADEMY. ANALYSIS OF ENGLISH HISTORY, based on Green's " Short History of the English People.
Página 12 - ARISTOPHANES— THE BIRDS. Translated into English Verse, with Introduction, Notes, and Appendices, by BH KENNEDY, DD, Regius Professor of Greek in the University of Cambridge.
Página 59 - TAYLOR— WORDS AND PLACES; or, Etymological Illustrations of History, Ethnology, and Geography. By the Rev. ISAAC TAYLOR, MA Third and cheaper Edition, revised and compressed. With Maps. Globe 8vo. 6s.
Página 71 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Página 44 - GRAY— STRUCTURAL BOTANY, OR ORGANOGRAPHY ON THE BASIS OF MORPHOLOGY. To which are added the principles of Taxonomy and Phytography, and a Glossary of Botanical Terms.
Página 57 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Página 57 - Figures. *8. SMALL-HAND AND HALF-TEXT. With Capitals and Figures. 8a. PRACTISING AND REVISING COPY-BOOK. For Nos, 5 to 8. *9. SMALL-HAND SINGLE HEADLINES— Figures. 10. SMALL-HAND SINGLE HEADLINES— Figures. 11. SMALL-HAND DOUBLE HEADLINES— Figures.
Página 20 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Página 72 - WILSON— THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 4to. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.