Calculus Volume 117th EditionStrang, Gilbert Publisher: OpenStax CollegeISBN: 9781938168024
Calculus Volume 1
Solutions for Calculus Volume 1
Problem 1E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 2E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 3E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 4E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 5E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 6E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 7E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 8E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 9E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 10E:
For the following exercises, use Equation 3.3 to find the slope of the secant line between the...Problem 11E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 12E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 13E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 14E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 15E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 16E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 17E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 18E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 19E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 20E:
For the following functions, use Equation 3.4 to find the slope of the tangent line mtan=f(a), and...Problem 31E:
For the following exercises, given the function y=f(x), find the slope of the secant line PQ for...Problem 32E:
For the following exercises, given the function y=f(x), find the slope of the secant line PQ for...Problem 33E:
For the following exercises, given the function y=f(x) , find the slope of the secant line PQ for...Problem 34E:
For the following exercises, given the function y=f(x) , find the slope of the secant line PQ for...Problem 35E:
[T] For the following position functions y=s(t), an object is moving along a straight line, where t...Problem 36E:
[T] For the following position functions y=s(t), an object is moving along a straight line, where t...Problem 37E:
[T] For the following position functions y=s(t), an object is moving along a straight line, where t...Problem 38E:
[T] For the following position functions y=s(t), an object is moving along a straight line, where t...Problem 39E:
[T] For the following position functions y=s(t), an object is moving along a straight line, where t...Problem 40E:
[T] For the following position functions y=s(t), an object is moving along a straight line, where t...Problem 41E:
For the following exercises, use the limit definition of derivative to show that the derivative does...Problem 42E:
For the following exercises, use the limit definition of derivative to show that the derivative does...Problem 43E:
For the following exercises, use the limit definition of derivative to show that the derivative does...Problem 44E:
For the following exercises, use the limit definition of derivative to show that the derivative does...Problem 45E:
[T] The position in feet of a lace car along a straight track after t seconds is modeled by the...Problem 46E:
[T] The distance in feet that a ball rolls down an incline is modeled by the function s(t)=14t2 ,...Problem 47E:
Two vehicles start out traveling side by side along a straight road. Their position functions, shown...Problem 48E:
[T] The total cost C(x), in hundreds of dollars, to produce x jars of mayonnaise is given by...Problem 49E:
[T] For the function f(x)=x32x211x+12 , do the following. Use a graphing calculator to graph f in an...Problem 50E:
[T] For the function f(x)=x1+x2 , do the following. Use a graphing calculator to graph f in an...Problem 51E:
Suppose that N(x) computes the number of gallons of gas used by a vehicle traveling x miles. Suppose...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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