Applied Calculus Hughes-hallett 4th Edition Answers
Applied Calculus Hughes-hallett 4th Edition Answers 5,5/10 7244 reviews
The fourth edition gives readers the skills to apply calculus on the job. It highlights the applications' connection with real-world concerns. The problems take advantage of computers and graphing calculators to help them think mathematically. The applied exercises challenge them to apply the math they have learned in new ways.
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1. Review of Functions
1.1Functions and Their Graphs1.2Trigonometric Functions1.3Other Special Functions1.4Inverse Functions2. Limits
2.1Rates of Change and Tangent Lines2.2The Definition of a Limit2.3Computing Limits with the Limits Laws2.4Continuity2.5One-Sided Limits2.6Limits Involving Infinity3. Differentiation
3.1The Derivative as Rate of Change3.2The Derivative at a Point3.3The Derivative as a Function3.4
The Basic Rules of Differentiation3.5The Product and Quotient Rules3.6The Chain Rule3.7Derivatives of the Trigonometric Functions3.8Implicit Differentiation3.9Derivatives of Exponential and Logarithmic Functions3.10Derivatives of the Inverse Trigonometric Functions4. Applications of the Derivative
4.1Extrema for a Function4.2The Mean Value Theorem4.3First Derivatives and Increasing/Decreasing Functions4.4Second Derivatives and Concavity4.5Optimization Problems4.6Linear Approximation and Differentials4.7Newton's Method4.8Related Rates4.9L'Hopital's Rule4.10Antiderivatives5. Integration
5.1Estimating the Area under a Curve5.2The Definite Integral5.3The Indefinite Integral5.4The Fundamental Theorem of Calculus6. Integration Techniques
6.1The Basic Rules of Integration6.2Integration by Substitution6.3Integration by Parts6.4Integration of Trigonometric Functions6.5Integration by Trigonometric Substitution6.6Partial Fraction Decomposition6.7Integration Tables and Other Strategies6.8Numerical Integration and CAS Systems6.9Improper Integrals7. Applications of the Integral
7.1Hughes Hallett Calculus 5th Edition
The Area Between Two Curves7.2Volumes: The Disk Method7.3Volumes: The Shell Method7.4Arc Length7.5Surface Area and Areas of Revolution7.6Net Change7.7Average Value7.8Applications in Science7.9Introduction to Probability
8. Ordinary Differential Equations
8.1Introduction to Differential Equations: Slope Fields and Euler's Method8.2Exponential Growth and Decay8.3Separable Differential Equations8.4The Logistic Equation8.5First Order Linear Differential Equations9. Sequences and Series
9.1Sequences9.2Infinite Series and the nth Term Test9.3The Integral and p-Series Tests9.4The Comparison Tests9.5The Root and Ratio Tests9.6Alternating Series and Absolute Convergence9.7Polynomial Approximations of Functions9.8Power Series9.9Taylor Series9.10Convergence of Taylor Series10. Parametrized Functions and Polar Coordinates
10.1Parametric Equations of Plane Curves10.2Tangents, Arc Length, and Surface Area of Parametrized Regions10.3The Polar Coordinate System10.4Arc Length and Area in Polar Coordinates10.5Conic Sections11. Vectors and the Geometry of Space
11.1Vectors in the Plane11.2Vectors in 3 Dimensional Space11.3Spherical and Cylindrical Coordinates in 3D11.4The Dot Product11.5The Cross Product11.6Lines, Curves, and Planes11.7Surfaces12. Vector Functions
Applied Calculus Hughes-hallett 4th Edition Answers 2017
12.1Vector Functions12.2Differentiation and Integration of Vector Functions12.3Particle Motion in Space12.4Arc Length12.5Curvature13. Differentiation of Functions of Several Variables
13.1Functions of Several Variables13.2Limits and Continuity in Higher Dimensions13.3Partial Derivatives13.4Differentials and the Tangent Plane13.5The Chain Rule for Functions of Several Variables13.6Directional Derivatives and the Gradient13.7Extrema on a Surface13.8Lagrange Multipliers14. Multiple Integration
14.1Double Integrals over Rectangular Regions14.2Double Integrals over Arbitrary Regions14.3Double Integrals in Polar Coordinates14.4Surface Area14.5Triple Integrals14.6Triple Integrals in Spherical and Cylindrical Coordinates14.7Centroids and Moments of Inertia14.8Change of Variables in Multiple Integrals15. Vector Analysis
15.1Vector Fields15.2Line Integrals15.3Conservative Vector Fields and the Fundamental Theorem for Line Integrals15.4Green's Theorem15.5Parametrized Surfaces15.6Surface Integrals15.7Divergence and Curl15.8Stokes' Theorem15.9The Divergence TheoremThere was an error saving. Please reload the page.