Solutions for CALCULUS,VOLUME 1 (OER)
Problem 150E:
For the following exercises, the given functions represent the position of a particle traveling...Problem 151E:
For the following exercises, the given functions represent the position of a particle traveling...Problem 152E:
For the following exercises, the given functions represent the position of a particle traveling...Problem 153E:
A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels...Problem 154E:
A ball is thrown downward with a speed of 8 ft/s from the top of a 64-foot-tall building. After t...Problem 155E:
The position function s(t)=t23t4 represents the position of the back of a car backing out of a...Problem 156E:
The position of a hummingbird flying along a straight line in t seconds is given by s(t)=3t37t...Problem 157E:
A potato is launched vertically upward with an initial velocity of 100 ft/s from a potato gun at the...Problem 158E:
The position function s(t)=t38t gives the position in miles of a freight train where east is the...Problem 159E:
The following graph shows die position y=s(t) of an object moving along a straight line. a. Use the...Problem 160E:
The cost function, in dollars, of a company that manufactures food processors is given by...Problem 161E:
The price p (in dollars) and the demand x for a certain digital clock radio is given by the...Problem 162E:
[T] A profit is earned when revenue exceeds cost. Suppose the profit function for a skateboard...Problem 163E:
[T] In general, the profit function is the difference between the revenue and cost functions:...Problem 164E:
A small town in Ohio commissioned an actuarial film to conduct a study that modeled the rate of...Problem 165E:
[T] A culture of bacteria grows in number according to the function N(t)=3000(1+4tt2+100) where t is...Problem 166E:
The centripetal force of an object of mass m is given by F(r)=mv2r where v is the speed of rotation...Problem 167E:
The following questions concern the population (in millions) of London by decade in the 19th...Problem 168E:
The following questions concern the population (in millions) of London by decade in the 19th...Problem 169E:
For the following exercises, consider an astronaut on a large planet in another galaxy. To learn...Problem 170E:
For the following exercises, consider an astronaut on a large planet in another galaxy. To learn...Problem 171E:
For the following exercises, consider an astronaut on a large planet in another galaxy. To learn...Problem 172E:
For the following exercises, consider an astronaut on a large planet in another galaxy. To learn...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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