Calculus Volume 11st EditionGilbert Strang, Edwin Jed Herman Publisher: OpenStax College.ISBN: 9781630182014
Calculus Volume 1
Solutions for Calculus Volume 1
Problem 1SP:
Figure 3.21 (a) one section of the racetrack can be modeled by the function f(x)=x3+3x2+x . (b) The...Problem 2SP:
Figure 3.21 (a) one section of the racetrack can be modeled by the function f(x)=x3+3x2+x . (b) The...Problem 3SP:
Figure 3.21 (a) one section of the racetrack can be modeled by the function f(x)=x3+3x2+x . (b) The...Problem 4SP:
Figure 3.21 (a) one section of the racetrack can be modeled by the function f(x)=x3+3x2+x . (b) The...Problem 5SP:
Figure 3.21 (a) one section of the racetrack can be modeled by the function f(x)=x3+3x2+x . (b) The...Problem 6SP:
Figure 3.21 (a) one section of the racetrack can be modeled by the function f(x)=x3+3x2+x . (b) The...Problem 118E:
For the following exercises, find the equation of the tangent line T(x) to the graph of the given...Problem 119E:
For the following exercises, find the equation of the tangent line T(x) to the graph of the given...Problem 120E:
For the following exercises, find the equation of the tangent line T(x) to the graph of the given...Problem 121E:
For the following exercises, find the equation of the tangent line T(x) to the graph of the given...Problem 122E:
For the following exercises, find the equation of the tangent line T(x) to the graph of the given...Problem 123E:
For the following exercises, find the equation of the tangent line T(x) to the graph of the given...Problem 124E:
For the following exercises, find the equation of the tangent line T(x) to the graph of the given...Problem 125E:
For the following exercises, find the equation of the tangent line T(x) to the graph of the given...Problem 126E:
For the following exercises, assume that f(x) and g(x) are both differentiable functions with values...Problem 127E:
For the following exercises, assume that f(x) and g(x) are both differentiable functions with values...Problem 128E:
For the following exercises, assume that f(x) and g(x) are both differentiable functions with values...Problem 129E:
For the following exercises, assume that f(x) and g(x) are both differentiable functions with values...Problem 130E:
For the following exercises, use the following figure to find the indicated derivatives, if they...Problem 131E:
For the following exercises, use the following figure to find the indicated derivatives, if they...Problem 132E:
For the following exercises, use the following figure to find the indicated derivatives, if they...Problem 133E:
For the following exercises, evaluate f(a), and graph the function f(x) and the tangent line at x =...Problem 134E:
For the following exercises, evaluate f(a), and graph the function f(x) and the tangent line at x =...Problem 135E:
For the following exercises, evaluate f(a), and graph the function f(x) and the tangent line at x =...Problem 136E:
For the following exercises, a. evaluate f(a), and b. graph the function f(x) and the tangent line...Problem 137E:
For the following exercises, evaluate f(a), and graph the function f(x) and the tangent line at x =...Problem 138E:
For the following exercises, evaluate f(a), and graph the function f(x) and the tangent line at x =...Problem 139E:
For the following exercises, evaluate f(a), and graph the function f(x) and the tangent line at x =...Problem 140E:
For the following exercises, evaluate f(a), and graph the function f(x) and the tangent line at x =...Problem 141E:
For the following exercises, evaluate f(a), and graph the function f(x) and the tangent line at x =...Problem 142E:
Determine all points on the graph of f(x)=x3+x2x1 for which the slope of the tangent line is...Problem 144E:
A car driving along a freeway with traffic has traveled s(t)=t36t2+9t meters in t seconds. Determine...Problem 145E:
[T] A herring swimming along a straight line has traveled s(t)=t2t2+2 feet in t seconds. Determine...Problem 146E:
The population in millions of arctic flounder in the Atlantic Ocean is modeled by the function...Problem 147E:
[T] The concentration of antibiotic in the bloodstream t hours after being injected is given by the...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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