Calculus Volume 117th EditionStrang, Gilbert Publisher: OpenStax CollegeISBN: 9781938168024
Calculus Volume 1
Solutions for Calculus Volume 1
Problem 1E:
For the following exercises, (a) determine the domain and the range of each relation, and (b) state...Problem 2E:
For the following exercises, (a) determine the domain and the range of each relation, and (b) state...Problem 3E:
For the following exercises, (a) determine the domain and the range of each relation, and (b) state...Problem 4E:
For the following exercises, (a) determine the domain and the range of each relation, and (b) state...Problem 5E:
For the following exercises, (a) determine the domain and the range of each relation, and (b) state...Problem 6E:
For the following exercises, (a) determine the domain and the range of each relation, and (b) state...Problem 7E:
For the following exercises, find the values for each function, if they exist, then simplify. a....Problem 8E:
For the following exercises, find the values for each function, if they exist, then simplify. a....Problem 9E:
For the following exercises, find the values for each function, if they exist, then simplify. a....Problem 10E:
For the following exercises, find the values for each function, if they exist, then simplify. a....Problem 11E:
For the following exercises, find the values for each function, if they exist, then simplify. a....Problem 12E:
For the following exercises, find the values for each function, if they exist, then simplify. a....Problem 13E:
For the following exercises, find the values for each function, if they exist, then simplify. a....Problem 14E:
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the...Problem 15E:
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the...Problem 16E:
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the...Problem 17E:
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the...Problem 18E:
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the...Problem 19E:
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the...Problem 20E:
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the...Problem 21E:
For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the...Problem 22E:
For the following exercises, set up a table to sketch the graph of each function using the following...Problem 23E:
For the following exercises, set up a table to sketch the graph of each function using the following...Problem 24E:
For the following exercises, set up a table to sketch the graph of each function using the following...Problem 25E:
For the following exercises, set up a table to sketch the graph of each function using the following...Problem 26E:
For the following exercises, set up a table to sketch the graph of each function using the following...Problem 27E:
For the following exercises, set up a table to sketch the graph of each function using the following...Problem 28E:
For the following exercises, use the vertical line test to determine whether each of the given...Problem 29E:
For the following exercises, use the vertical line test to determine whether each of the given...Problem 30E:
For the following exercises, use the vertical line test to determine whether each of the given...Problem 31E:
For the following exercises, use the vertical line test to determine whether each of the given...Problem 32E:
For the following exercises, use the vertical line test to determine whether each of the given...Problem 33E:
For the following exercises, use the vertical line test to determine whether each of the given...Problem 34E:
For the following exercises, use the vertical line test to determine whether each of the given...Problem 35E:
For the following exercises, use the vertical line test to determine whether each of the given...Problem 36E:
For the following exercises, for each pair of functions, find a.f+gb.fgc.f.gd.f/g. Determine the...Problem 37E:
For the following exercises, for each pair of functions, find a.f+gb.fgc.f.gd.f/g. Determine the...Problem 38E:
For the following exercises, for each pair of functions, find a.f+gb.fgc.f.gd.f/g. Determine the...Problem 39E:
For the following exercises, for each pair of functions, find a.f+gb.fgc.f.gd.f/g. Determine the...Problem 40E:
For the following exercises, for each pair of functions, find a.f+gb.fgc.f.gd.f/g. Determine the...Problem 41E:
For the following exercises, for each pair of functions, find a.f+gb.fgc.f.gd.f/g. Determine the...Problem 42E:
For the following exercises, for each pair of functions, find a.(fg)(x) and b.(gf)(x) Simplify the...Problem 43E:
For the following exercises, for each pair of functions, find a.(fg)(x) and b.(gf)(x) Simplify the...Problem 44E:
For the following exercises, for each pair of functions, find a.(fg)(x) and b.(gf)(x) Simplify the...Problem 45E:
For the following exercises, for each pair of functions, find a.(fg)(x) and b.(gf)(x) Simplify the...Problem 46E:
For the following exercises, for each pair of functions, find a.(fg)(x) and b.(gf)(x) Simplify the...Problem 47E:
For the following exercises, for each pair of functions, find a.(fg)(x) and b.(gf)(x) Simplify the...Problem 48E:
For the following exercises, for each pair of functions, find a.(fg)(x) and b.(gf)(x) Simplify the...Problem 49E:
The table below lists the NBA championship winners for the years 2001 to 2012. Year Winner 2001 LA...Problem 50E:
The area A of a square depends on the length of the side s. Write a function A(s) for the area of a...Problem 51E:
[T] The volume of a cube depends on the length of the sides s. Write a function V(s) for the area of...Problem 52E:
[T] A rental car company rents cars for a flat fee of $20 and an hourly charge of $10.25. Therefore,...Problem 53E:
[T] A vehicle has a 20-gal tank and gets 15 mpg. The number of miles N that can be driven depends on...Problem 54E:
[T] The volume V of a sphere depends on the length of its radius as V=(4/3)r3. Because Earth is not...Problem 55E:
[T] A certain bacterium grows in culture in a circular region. Tire radius of the circle, measured...Problem 56E:
[T] An American tourist visits Paris and must convert U.S. dollars to Euros, which can be done using...Browse All Chapters of This Textbook
Chapter 1 - Functions And GraphsChapter 1.1 - Review Of FunctionsChapter 1.2 - Basic Classes Of FunctionsChapter 1.3 - Trigonometric FunctionsChapter 1.4 - Inverse FunctionsChapter 1.5 - Exponential And Logarithmic FunctionsChapter 2 - LimitsChapter 2.1 - A Preview Of CalculusChapter 2.2 - The Limit Of A FunctionChapter 2.3 - The Limit Laws
Chapter 2.4 - ContinuityChapter 2.5 - The Precise Definition Of A LimitChapter 3 - DerivativesChapter 3.1 - Defining The DerivativeChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Differentiation RulesChapter 3.4 - Derivatives As Rates Of ChangeChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - The Chain RuleChapter 3.7 - Derivatives Of Inverse FunctionsChapter 3.8 - Implicit DifferentiationChapter 3.9 - Derivatives Of Exponential And Logarithmic FunctionsChapter 4 - Applications Of DerivativesChapter 4.1 - Related RatesChapter 4.2 - Linear Approximations And DifferentialsChapter 4.3 - Maxima And MinimaChapter 4.4 - The Mean Value TheoremChapter 4.5 - Derivatives And The Shape Of A GraphChapter 4.6 - Limits At Infinity And AsymptotesChapter 4.7 - Applied Optimization ProblemsChapter 4.8 - L'hopitars RuleChapter 4.9 - Newton's MethodChapter 4.10 - AntiderivativesChapter 5 - IntegrationChapter 5.1 - Approximating AreasChapter 5.2 - The Definite IntegralChapter 5.3 - The Fundamental Theorem Of CalculusChapter 5.4 - Integration Formulas And The Net Change TheoremChapter 5.5 - SubstitutionChapter 5.6 - Integrals Involving Exponential And Logarithmic FunctionsChapter 5.7 - Integrals Resulting In Inverse Trigonometric FunctionsChapter 6 - Applications Of IntegrationChapter 6.1 - Areas Between CurvesChapter 6.2 - Determining Volumes By SlicingChapter 6.3 - Volumes Of Revolution: Cylindrical ShellsChapter 6.4 - Arc Length Of A Curve And Surface AreaChapter 6.5 - Physical ApplicationsChapter 6.6 - Moments And Centers Of MassChapter 6.7 - Integrals, Exponential Functions, And LogarithmsChapter 6.8 - Exponential Growth And DecayChapter 6.9 - Calculus Of The Hyperbolic Functions
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