Solutions for Calculus: Single And Multivariable, 7e Wileyplus Registration Card + Loose-leaf Print Companion
Problem 1E:
Let f(x) = 7. Using the definition of the derivative, show that f(x) = 0 for all values of x....Problem 22E:
In Exercises 2225, find the slope of the tangent to the curve at the point specified. x2 + y2 = 1 at...Problem 23E:
In Exercises 2225, find the slope of the tangent to the curve at the point specified. sin(xy) = x at...Problem 24E:
In Exercises 2225, find the slope of the tangent to the curve at the point specified. x3 + 2xy + y2...Problem 25E:
In Exercises 2225, find the slope of the tangent to the curve at the point specified. x3 + 5x2y +...Problem 26E:
For Exercises 2630, find the equations of the tangent lines to the following curves at the indicated...Problem 27E:
For Exercises 2630, find the equations of the tangent lines to the following curves at the indicated...Problem 28E:
For Exercises 2630, find the equations of the tangent lines to the following curves at the indicated...Problem 29E:
For Exercises 2630, find the equations of the tangent lines to the following curves at the indicated...Problem 30E:
For Exercises 2630, find the equations of the tangent lines to the following curves at the indicated...Problem 31E:
(a) Find dydx given that x2 + y2 4x + 7y = 15. (b) Under what conditions on x and/or y is the...Problem 32E:
(a) Find the slope of the tangent line to the ellipse x225+y29=1 at the point (x, y). (b) Are there...Problem 33E:
(a) Find all points on y2 + xy + x2 = 1 with x = 1. (b) Find dydx for y2 + xy + x2 = 1. (c) Find the...Problem 35E:
(a) Find the equations of the tangent lines to the circle x2 + y2 = 25 at the points where x = 4....Problem 36E:
Find the equation of the tangent line to the curve y = x2 at x = 1. Show that this line is also a...Problem 37E:
If y = arcsin x then x = sin y. Use implicit differentiation on x = sin y to show that...Problem 38E:
Show that the power rule for derivatives applies to rational powers of the form y = xmn by raising...Problem 39E:
At pressure P atmospheres, a certain fraction f of a gas decomposes. The quantities P and f are...Problem 40E:
For constants a, b, n, R, Van der Waals equation relates the pressure, P, to the volume, V, of a...Problem 41E:
In Problems 4142, explain what is wrong with the statement. If y = sin(xy) then dydx = y cos(xy).Problem 42E:
In Problems 4142, explain what is wrong with the statement. The formula dydx = xy gives the slope of...Problem 43E:
In Problems 4344, give an example of: A formula for dydx leading to a vertical tangent at y = 2 and...Browse All Chapters of This Textbook
Chapter 1 - Foundation For Calculus: Functions And LimitsChapter 1.1 - Functions And ChangeChapter 1.2 - Exponential FunctionsChapter 1.3 - New Functions From OldChapter 1.4 - Logarithmic FunctionsChapter 1.5 - Trigonometric FunctionsChapter 1.6 - Powers, Polynomials, And Rational FunctionsChapter 1.7 - Introduction To Limits And ContinuityChapter 1.8 - Extending The Idea Of A LimitChapter 1.9 - Further Limit Calculations Using Algebra
Chapter 1.10 - Optional Preview Of The Formal Definition Of A LimitChapter 2 - Key Concept: The DerivativeChapter 2.1 - How Do We Measure Speed?Chapter 2.2 - The Derivative At A PointChapter 2.3 - The Derivative FunctionChapter 2.4 - Interpretations Of The DerivativeChapter 2.5 - The Second DerivativeChapter 2.6 - DifferentiabilityChapter 3 - Short-cuts To DifferentiationChapter 3.1 - Powers And PolynomialsChapter 3.2 - The Exponential FunctionChapter 3.3 - The Product And Quotient RulesChapter 3.4 - The Chain RuleChapter 3.5 - The Trigonometric FunctionsChapter 3.6 - The Chain Rule And Inverse FunctionsChapter 3.7 - Implicit FunctionsChapter 3.8 - Hyperbolic FunctionsChapter 3.9 - Linear Approximation And The DerivativeChapter 3.10 - Theorems About Differentiable FunctionsChapter 4 - Using The DerivativeChapter 4.1 - Using First And Second DerivativesChapter 4.2 - OptimizationChapter 4.3 - Optimization And ModelingChapter 4.4 - Families Of Functions And ModelingChapter 4.5 - Applications To MarginalityChapter 4.6 - Rates And Related RatesChapter 4.7 - L’hopital’s Rule, Growth, And DominanceChapter 4.8 - Parametric EquationsChapter 5.1 - How Do We Measure Distance Traveled?Chapter 8.1 - Areas And VolumesChapter 10.2 - Taylor SeriesChapter 10.3 - Finding And Using Taylor SeriesChapter 13.2 - Vectors In GeneralChapter 14.1 - The Partial DerivativeChapter 14.2 - Computing Partial Derivatives AlgebraicallyChapter 14.3 - Local Linearity And The DifferentialChapter 14.4 - Gradients And Directional Derivatives In The PlaneChapter 18.1 - The Idea Of A Line IntegralChapter 20.1 - The Curl Of A Vector FieldChapter 21 - Parameters, Coordinates, And Integrals
Book Details
Calculus: Single and Multivariable, 7th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 7th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. The program includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics; emphasizing the connection between calculus and other fields.
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Calculus: Single and Multivariable
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Calculus
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Calculus: Single And Multivariable, 7e Student Solutions Manual
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Calculus: Single and Multivariable
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