CALCULUS, VOLUME 1 (OER)17th EditionOpenStax Publisher: XANEDU CISBN: 2810022307715
CALCULUS, VOLUME 1 (OER)
Solutions for CALCULUS,VOLUME 1 (OER)
Problem 181E:
For the following exercises, find dydx for the given functions. 181. y=(x+cosx)(1sinx)Problem 185E:
For the following exercises, find the equation of the tangent line to each of the given functions at...Problem 186E:
For the following exercises, find the equation of the tangent line to each of the given functions at...Problem 187E:
For the following exercises, find the equation of the tangent line to each of the given functions at...Problem 188E:
For the following exercises, find the equation of the tangent line to each of the given functions at...Problem 189E:
For the following exercises, find the equation of the tangent line to each of the given functions at...Problem 190E:
For the following exercises, find the equation of the tangent line to each of the given functions at...Problem 197E:
Find all x values on the graph of f(x)=3sinxcosx where the tangent line is horizontal.Problem 198E:
Find all x values on the graph of f(x)=x2cosx for 0x2 where the tangent line has slope 2.Problem 199E:
Let f(x)=cotx . Determine the points on the graph of f for 0x2In where the tangent line(s) is (are)...Problem 200E:
[T] A mass on a spring bounces up and down in simple harmonic motion, modeled by the function...Problem 201E:
Let the position of a swinging pendulum in simple harmonic motion be given by s(t)=acost+bsint ....Problem 202E:
After a diver jumps off a diving board, the edge of the board oscillates with position given by...Problem 203E:
The number of hamburgers sold at a fast-food restaurant in Pasadena, California, is given by...Problem 204E:
[T] The amount of rainfall per month in Phoenix, Arizona, can be approximated by y=0.5+0.3cost ,...Problem 205E:
For the following exercises, use the quotient rule to derive the given equations. 205....Problem 206E:
For the following exercises, use the quotient rule to derive the given equations. 206....Problem 207E:
For the following exercises, use the quotient rule to derive the given equations. 207....Problem 208E:
Use the definition of derivative and the identity cos(x+h)=cosxcoshsinxsinh to prove that...Problem 209E:
For the following exercises, find the requested higher-order derivative for the given functions....Problem 210E:
For the following exercises, find the requested higher-order derivative for the given functions....Problem 211E:
For the following exercises, find the requested higher-ordei derivative for the given functions....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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