Ebook Essential calculus - Early transcendentals: Part 1

Expand your learning experience with the Tools for Enriching Calculus CD-ROM The Tools for Enriching Calculus CD-ROM is the ideal complement to Essential Calculus.This innovative learning tool uses a discovery and exploratory approach to help you explore calculus in new ways. Visuals and Modules on the CD-ROM provide geometric visualizations and graphi-cal applications to enrich your understanding of major concepts.Exercises and examples,built from the content in the applets,take a discovery approach,allowing you to explore open-ended questions about the way certain mathematical objects behave. The CD-ROM’s simulation modules include audio explanations of the concept,along with exercises,examples,and instructions.Tools for Enriching Calculus also contains Homework Hints for representative exercises from the text (indicated in blue in the text). Hours of interactive video instruction! Interactive Video Skillbuilder CD-ROM The Interactive Video Skillbuilder CD-ROM contains more than eight hours of video instruction.The problems worked during each video lesson are shown first so that you can try working them before watching the solution.To help you evaluate your progress,each section of the text contains a ten-question web quiz (the results of which can be e-mailed to your instructor),and each chapter contains a chapter test,with answers to every problem.Icons in the text direct you to examples that are worked out on the CD-ROM. If you would like to purchase these resources, visit www.cengage.com/highered REFERENCE PAGES ALGEBRA ARITHMETIC OPERATIONS GEOMETRY GEOMETRIC FORMULAS ab c ab ac a c a c b b b a c ad bc b d bd a b a d ad c b c bc d Formulas for area A, circumference C, and volume V: Triangle Circle Sector of Circle A 1 bh A r2 A 1 r2 2 ab sin C 2 r s r in radians EXPONENTS AND RADICALS m xmxn xmn xn xmn xmn xmn xn 1 xyn xnyn yn yn a h ¨ r b Sphere Cylinder V 4 r3 V r2h r s ¨ r Cone V 3 r2h x1n sx xmn sxm (sx)m A 4 r2 n xy n x n y x sx r r h h FACTORING SPECIAL POLYNOMIALS r x2 y2 x yx y x3 y3 x yx2 xy y2 x3 y3 x yx2 xy y2 BINOMIAL THEOREM x y2 x2 2xy y2 x y2 x2 2xy y2 DISTANCE AND MIDPOINT FORMULAS Distance between P1x1, y1 and P2x2, y2: x y3 x3 3x2y 3xy2 y3 x y3 x3 3x2y 3xy2 y3 x yn xn nxn1y nn 1 xn2y2 kxnkyk nxyn1 yn n nn 1n k 1 k 1 2 3 k QUADRATIC FORMULA If ax2 bx c 0, then x b 2b2 4ac. INEQUALITIES AND ABSOLUTE VALUE If a b and b c, then a c. If a b, then a c b c. If a b and c 0, then ca cb. If a b and c 0, then ca cb. d sx2 x12 y2 y12 Midpoint of P1P2: x1 x2 , y1 y2 LINES Slope of line through P1x1, y1 and P2x2, y2: y2 y1 x2 x1 Point-slope equation of line through P1x1, y1 with slope m: y y1 mx x1 Slope-intercept equation of line with slope m and y-intercept b: y mx b If a 0 , then x a means x a means x a means x a or x a a x a x a or x a CIRCLES Equation of the circle with center h, k and radius r: x h2 y k2 r2 1 REFERENCE PAGES TRIGONOMETRY ANGLE MEASUREMENT FUNDAMENTAL IDENTITIES radians 180 1 180 rad 1 rad 180 s r r s csc ¨ r tan 1 sin sin cos sec cot 1 cos cos sin in radians cot 1 tan sin2 cos2 1 RIGHT ANGLE TRIGONOMETRY 1 tan2 sec2 1 cot2 csc2 sin cos tan opp hyp adj hyp opp adj csc sec cot hyp opp hyp opp hyp ¨ adj adj adj opp sin sin tan tan cos2 sin cos cos sin2 cos tan2 cot TRIGONOMETRIC FUNCTIONS sin y csc r y (x, y) cos r sec x r THE LAW OF SINES B sin A sin B sin C a a b c C c tan y cot x ¨ x THE LAW OF COSINES a2 b2 c2 2bc cos A b GRAPHS OF THE TRIGONOMETRIC FUNCTIONS b2 a2 c2 2ac cos B y y y y=tan x c2 a2 b2 2ab cos C A y=sin x y=cos x 1 1 π 2π 2π ADDITION AND SUBTRACTION FORMULAS _1 y y=csc x 1 x π 2π x π x _1 y y=sec x y y=cot x 1 sinx y sin x cos y cos x sin y sinx y sin x cos y cos x sin y cosx y cos x cos y sin x sin y cosx y cos x cos y sin x sin y tan x tan y 1 tan x tan y π 2π x π 2π x π 2π x _1 _1 tan x tan y 1 tan x tan y DOUBLE-ANGLE FORMULAS sin 2x 2 sin x cos x TRIGONOMETRIC FUNCTIONS OF IMPORTANT ANGLES cos 2x cos2x sin2x 2 cos2x 1 1 2 sin2x radians sin cos tan 0 0 0 1 0 30 6 12 s32 s33 45 4 s22 s22 1 tan 2x 1 tan2x HALF-ANGLE FORMULAS 60 3 s32 12 s3 90 2 1 0 — sin2x 1 cos 2x cos2x 1 cos 2x 2 ESSENTIAL CALCULUS EARLY TRANSCENDENTALS JAMES STEWART McMaster University and University of Toronto Australia . Brazil . Japan . Korea . Mexico . Singapore . Spain . United Kingdom . United States ... - tailieumienphi.vn