Single Variable Calculus8th EditionJames Stewart Publisher: Cengage LearningISBN: 9781305266636
Single Variable Calculus
Solutions for Single Variable Calculus
Problem 1ADT:
Evaluate each expression without using a calculator. (a) (3)4 (b) 34 (c) 34 (d) 523521 (e) (23)2 (f)...Problem 2ADT:
Simplify each expression. Write your answer without negative exponents. (a) 20032 (b) (3a3b3)(4ab2)2...Problem 3ADT:
Expand and simplify. (a) 3(x + 6) + 4(2x 5) (b) (x + 3)(4x 5) (c) (a+b)(ab) (d) (2x + 3)2 (e) (x +...Problem 4ADT:
Factor each expression. (a) 4x2 25 (b) 2x2 + 5x 12 (c) x3 3x2 4x + 12 (d) x4 + 27x (e) 3x3/2 ...Problem 5ADT:
Simplify the rational expression. (a) x2+3x+2x2x2 (b) 2x2x1x29x+32x+1 (c) x2x24x+1x+2 (d) yxxy1y1xProblem 8ADT:
Solve the equation. (Find only the real solutions.) (a) x+5=1412x (b) 2xx+1=2x1x (c) x2 x 12 = 0...Problem 9ADT:
Solve each inequality. Write your answer using interval notation. (a) 4 5 3x 17 (b) x2 2x + 8...Problem 10ADT:
State whether each equation is true or false. (a) (p + q)2 = p2 + q2 (b) ab=ab (c) a2+b2=a+b (d)...Problem 1BDT:
Find an equation for the line that passes through the point (2, 5) and (a) has slope 3 (b) is...Problem 5BDT:
Sketch the region in the xy-plane defined by the equation or inequalities. (a) 1 y 3 (b) |x| 4...Problem 1CDT:
FIGURE FOR PROBLEM 1 1. The graph of a function f is given at the left (a) State the value of f(1)...Problem 5CDT:
Without using a calculator, make a rough sketch of the graph. (a) y = x3 (b) y = (x + 1)3 (c) y = (x...Problem 7CDT:
If f(x) = x2 + 2x 1 and g(x) = 2x 3, find each of the following functions. (a) f g (b) g f (c) g...Problem 1DDT:
Convert from degrees to radians. (a) 300 (b) 18Problem 2DDT:
Convert from radians to degrees. (a) 5/6 (b) 2Browse All Chapters of This Textbook
Chapter T - Diagonostic TestsChapter 1 - Functions And LimitsChapter 1.1 - Four Ways To Represent A FunctionChapter 1.2 - Mathematical Models: A Catalog Of Essential FunctionsChapter 1.3 - New Functions From Old FunctionsChapter 1.4 - The Tangent And Velocity ProblemsChapter 1.5 - The Limit Of A FunctionChapter 1.6 - Calculating Limits Using The Limit LawsChapter 1.7 - The Precise Definition Of A LimitChapter 1.8 - Continuity
Chapter 2 - DerivativesChapter 2.1 - Derivatives And Rates Of ChangeChapter 2.2 - The Derivative As A FunctionChapter 2.3 - Differentiation FormulasChapter 2.4 - Derivatives Of Trigonometric FunctionsChapter 2.5 - The Chain RuleChapter 2.6 - Implicit DifferentiationChapter 2.7 - Rates Of Change In The Natural And Social SciencesChapter 2.8 - Related RatesChapter 2.9 - Linear Approximations And DifferentialsChapter 3 - Applications Of DifferentiationChapter 3.1 - Maximum And Minimum ValuesChapter 3.2 - The Mean Value TheoremChapter 3.3 - How Derivatives Affect The Shape Of A GraphChapter 3.4 - Limits At Infinity; Horizontal AsymptotesChapter 3.5 - Summary Of Curve SketchingChapter 3.6 - Graphing With Calculus And CalculatorsChapter 3.7 - Optimization ProblemsChapter 3.8 - Newton's MethodChapter 3.9 - AntiderivativesChapter 4 - IntegralsChapter 4.1 - Areas And DistancesChapter 4.2 - The Definite IntegralChapter 4.3 - The Fundamental Theorem Of CalculusChapter 4.4 - Indefinite Integrals And The Net Change TheoremChapter 4.5 - The Substitution RuleChapter 5 - Applications Of IntegrationChapter 5.1 - Areas Between CurvesChapter 5.2 - VolumesChapter 5.3 - Volumes By Cylindrical ShellsChapter 5.4 - WorkChapter 5.5 - Average Value Of A FunctionChapter 6 - Inverse Functions: Exponential, Logarithmic, And Inverse Trigonometric FunctionsChapter 6.1 - Inverse FunctionsChapter 6.2 - Exponential Functions And Their DerivativesChapter 6.3 - Logarithmic FunctionsChapter 6.4 - Derivatives Of Logarithmic FunctionsChapter 6.5 - Exponential Growth And DecayChapter 6.6 - Inverse Trigonometric FunctionsChapter 6.7 - Hyperbolic FunctionsChapter 6.8 - Indeterminate Forms And L'Hospital's RuleChapter 7 - Techniques Of IntegrationChapter 7.1 - Integration By PartsChapter 7.2 - Trigonometric IntegralsChapter 7.3 - Trigonometric SubstitutionChapter 7.4 - Integration Of Rational Functions By Partial FractionsChapter 7.5 - Strategy For IntegrationChapter 7.6 - Integration Using Tables And Computer Algebra SystemsChapter 7.7 - Approximate IntegrationChapter 7.8 - Improper IntegralsChapter 8 - Further Applications Of IntegrationChapter 8.1 - Arc LengthChapter 8.2 - Area Of A Surface Of RevolutionChapter 8.3 - Applications To Physics And EngineeringChapter 8.4 - Applications To Economics And BiologyChapter 8.5 - ProbabilityChapter 9 - Differential EquationsChapter 9.1 - Modeling With Differential EquationsChapter 9.2 - Direction Fields And Euler's MethodChapter 9.3 - Separable EquationsChapter 9.4 - Models For Population GrowthChapter 9.5 - Linear EquationsChapter 9.6 - Predator-Prey SystemsChapter 10 - Parametric Equations And Polar CoordinatesChapter 10.1 - Curves Defined By Parametric EquationsChapter 10.2 - Calculus With Parametric CurvesChapter 10.3 - Polar CoordinatesChapter 10.4 - Areas And Lengths In Polar CoordinatesChapter 10.5 - Conic SectionsChapter 10.6 - Conic Sections In Polar CoordinatesChapter 11 - Infinite Sequences And SeriesChapter 11.1 - SequencesChapter 11.2 - SeriesChapter 11.3 - The Integral Test And Estimates Of SumsChapter 11.4 - The Comparison TestsChapter 11.5 - Alternating SeriesChapter 11.6 - Absolute Convergence And The Ratio And Root TestsChapter 11.7 - Strategy For Testing SeriesChapter 11.8 - Power SeriesChapter 11.9 - Representations Of Functions As Power SeriesChapter 11.10 - Taylor And Maclaurin SeriesChapter 11.11 - Applications Of Taylor PolynomialsChapter A - Numbers, Inequalities, And Absolute ValuesChapter B - Coordinate Geometry And LinesChapter C - Graphs Of Second-Degree EquationsChapter D - TrigonometryChapter E - Sigma NotationChapter G - Complex Numbers
Book Details
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.
Sample Solutions for this Textbook
We offer sample solutions for Single Variable Calculus homework problems. See examples below:
Chapter T, Problem 1ADTChapter 1, Problem 1RCCChapter 2, Problem 1RCCChapter 3, Problem 1RCCChapter 4.2, Problem 3EChapter 4, Problem 1RCCChapter 5, Problem 1RCCChapter 6, Problem 1RCCChapter 7, Problem 1RCC
Chapter 8, Problem 1RCCChapter 9, Problem 1RCCExplanation: Write the definition of the parametric curve. The parametric curve is defined as the...Chapter 11, Problem 1RCCChapter A, Problem 1EChapter B, Problem 1EChapter C, Problem 1EExplanation: Formula used: π rad=180∘ Calculation: From the above formula, it is given that...Explanation: Definition used: If am,am+1,...,an are real numbers and m and n are integers such that...Chapter G, Problem 1E
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