TAILIEUCHUNG - Ebook Calculus early transcendentals (7th edition): Part 1

(BQ) Part 1 book "Calculus early transcendentals" has contents: Functions and models, limits and derivatives, limits and derivatives, applications of differentiation, integrals, applications of integration, techniques of integration, further applications of integration, differential equations. | 97909_FrontEP_FrontEP_pF2_RefPage1-2_97909_FrontEP_FrontEP_pF2_RefPage1-2 9/24/10 5:36 PM Page 1 R E F E R E N C E PA G E 1 Cut here and keep for reference ALGEBRA GEOMETRY Arithmetic Operations Geometric Formulas a c ad ϩ bc ϩ b d bd a d ad b a ϫ c b c bc d a͑b ϩ c͒ ab ϩ ac a c aϩc ϩ b b b Formulas for area A, circumference C, and volume V: Triangle Circle Sector of Circle A 1 bh 2 A r 2 A 1 r 2 2 C 2 r s r ͑ in radians͒ 1 ab sin 2 a Exponents and Radicals xm x mϪn xn 1 xϪn n x x m x n x mϩn ͑x m͒n x m n ͩͪ x y ͑xy͒n x n y n n xn yn n n x m͞n sx m (sx ) m n x 1͞n sx ͱ n n n sxy sx sy n r h ¨ r s ¨ b r Sphere V 4 r 3 3 Cylinder V r 2h Cone V 1 r 2h 3 A 4 r 2 A rsr 2 ϩ h 2 n x sx n y sy r r h h Factoring Special Polynomials r x 2 Ϫ y 2 ͑x ϩ y͒͑x Ϫ y͒ x 3 ϩ y 3 ͑x ϩ y͒͑x 2 Ϫ xy ϩ y 2͒ x 3 Ϫ y 3 ͑x Ϫ y͒͑x 2 ϩ xy ϩ y 2͒ Distance and Midpoint Formulas Binomial Theorem ͑x ϩ y͒2 x 2 ϩ 2xy ϩ y 2 ͑x Ϫ y͒2 x 2 Ϫ 2xy ϩ y 2 Distance between P1͑x1, y1͒ and P2͑x 2, y2͒: d s͑x 2 Ϫ x1͒2 ϩ ͑ y2 Ϫ y1͒2 ͑x ϩ y͒3 x 3 ϩ 3x 2 y ϩ 3xy 2 ϩ y 3 ͑x Ϫ y͒3 x 3 Ϫ 3x 2 y ϩ 3xy 2 Ϫ y 3 ͑x ϩ y͒n x n ϩ nx nϪ1y ϩ ϩ иии ϩ where ͩͪ n͑n Ϫ 1͒ nϪ2 2 x y 2 ͩͪ n nϪk k x y ϩ и и и ϩ nxy nϪ1 ϩ y n k n͑n Ϫ 1͒ и и и ͑n Ϫ k ϩ 1͒ n k 1 ؒ 2 ؒ 3 ؒ иии ؒ k Midpoint of P1 P2 : ͩ x1 ϩ x 2 y1 ϩ y2 , 2 2 Lines Slope of line through P1͑x1, y1͒ and P2͑x 2, y2͒: m Quadratic Formula If ax 2 ϩ bx ϩ c 0, then x ͪ Ϫb Ϯ sb 2 Ϫ 4ac . 2a y2 Ϫ y1 x 2 Ϫ x1 Point-slope equation of line through P1͑x1, y1͒ with slope m: Inequalities and Absolute Value y Ϫ y1 m͑x Ϫ x1͒ If a Ͻ b and b Ͻ c, then a Ͻ c. Slope-intercept equation of line with slope m and y-intercept b: If a Ͻ b, then a ϩ c Ͻ b ϩ c. If a Ͻ b and c Ͼ 0, then ca Ͻ cb. y mx ϩ b If a Ͻ b and c Ͻ 0, then ca Ͼ cb. If a Ͼ 0, then ԽxԽ a ԽxԽ Ͻ a ԽxԽ Ͼ a means x a or x Ϫa means Ϫa Ͻ x Ͻ .

• Toán học
• Calculus early transcendentals
• Functions and models
• Limits and derivatives
• Applications of differentiation
• Applications of integration
• Techniques of integration
• Further applications of integration
• Essential calculus
• Early transcendentals
• Parametric equations
• Vector calculus
• Partial derivatives
• Multiple integrals
• Polar coordinates
• Infinite sequences
• Vector functions
• Anton Calculus Early Transcendentals 9th
• Limits and continuity
• The derivative
• The derivative in graphing and applications
• Principles of integral evaluation
• Partial derivativesrinciples of integral evaluation
• Functions and limits
• Inverse functions
• Inverse trigonometric functions
• technical competence
• intrinsic beauty
• calculus course
• CALCULUS texts
• mathematical
• utility of calculus
• Mathematical modeling
• Differential equations
• Infinite series
• Polar curves
• Conic sections
• Vector valued functions
• Topics in differentiation
• The derivative in graphing
• The definite integral
• Averaging
• Conservation of mass
• Multiphase flow models
• Multiphase flow notation
• distribution functions
• The subject of rock mechanics
• Content of this book
• Geological setting
• Natural rock environments
• Stress as a point property
• Aerodynamics for Engineering Students
• Wing geometry
• Thickness distribution
• Two dimensional flow
• Component velocities
• tài liệu cơ khí
• sổ tay cơ khí
• hướng dẫn cơ khí
• đề thi cơ khí
• luyện thi cơ khí
• the geometry of space
• further applications
• integration