CALCULUS, VOLUME 1 (OER)17th EditionOpenStax Publisher: XANEDU CISBN: 2810022307715
CALCULUS, VOLUME 1 (OER)
Solutions for CALCULUS,VOLUME 1 (OER)
Problem 466E:
For the following exercises, show that F(x) are antiderivatives of f(x). 466. F(x)=x2+4x+1,f(x)=2x+4Problem 468E:
For the following exercises, show that F(x) are antiderivatives of f(x) . 468. F(x)=cosx,f(x)=sinxProblem 469E:
For the following exercises, show that F(x) are antiderivatives of f(x) . 469. F(x)=ex,f(x)=exProblem 471E:
For the following exercises, find the antiderivative of the function. 471. f(x)=ex3x2+sinxProblem 472E:
For the following exercises, find the antiderivative of the function. 472. f(x)=ex+3xx2Problem 473E:
For the following exercises, find the antiderivative of the function. 473. f(x)=x1+4sin(2x)Problem 474E:
For die following exercises, find the antiderivative F(x) of each function f(x). 474. f(x)=5x4+4x5Problem 475E:
For the following exercises, find the antiderivative F(x) of each function f(x). 475. f(x)=x+12x2Problem 476E:
For the following exercises, find the antiderivative F(x) of each function f(x). 476. f(x)=1xProblem 477E:
For the following exercises, find the antiderivative F(x) of each function f(x). 477. f(x)=(3)3Problem 478E:
For the following exercises, find the antiderivative F(x) of each function f(x). 478....Problem 479E:
For the following exercises, find the antiderivative F(x) of each function f(x). 479. f(x)=x1/3x2/3Problem 480E:
For the following exercises, find the antiderivative F(x) of each function f(x). 480....Problem 481E:
For the following exercises, find the antiderivative F(x) of each function f(x). 481. f(x)=sec2(x)+1Problem 482E:
For the following exercises, find the antiderivative F(x) of each function f(x). 482. f(x)=sinxcosxProblem 483E:
For the following exercises, find the antiderivative F(x) of each function f(x). 483....Problem 484E:
For the following exercises, find the antiderivative F(x) of each function f(x). 484. f(x)=0Problem 485E:
For the following exercises, find the antiderivative F(x) of each function f(x). 485....Problem 486E:
For the following exercises, find the antiderivative F(x) of each function f(x). 486....Problem 487E:
For the following exercises, find the antiderivative F(x) of each function f(x). 487....Problem 488E:
For the following exercises, find the antiderivative F(x) of each function f(x). 488....Problem 489E:
For the following exercises, find the antiderivative F(x) of each function f(x). 489....Problem 501E:
For the following exercises, solve the initial value problem. 501. f(x)=cosx+sec2(x),f(4)=2+22Problem 502E:
For the following exercises, solve the initial value problem. 502. f(x)=x38x2+16x+1,f(0)=0Problem 504E:
For the following exercises, find two possible functions f given the second-or third-order...Problem 505E:
For the following exercises, find two possible functions f given the second-or third-order...Problem 506E:
For the following exercises, find two possible functions f given the second-or third-order...Problem 507E:
For the following exercises, find two possible functions f given the second-or third-order...Problem 508E:
For the following exercises, find two possible functions f given the second-or third-order...Problem 509E:
A car is being driven at a rate of 40 mph when the brakes are applied. The car decelerates at a...Problem 510E:
In the preceding problem, calculate how far the car travels in the time it takes to stop.Problem 511E:
You are merging onto the freeway, accelerating at a constant rate of 12 ft/sec2. How long does it...Problem 513E:
A car company wants to ensure its newest model can stop in 8 sec when traveling at 75 mph. If we...Problem 514E:
A car company wants to ensure its newest model can stop in less than 450 ft when traveling at 60...Problem 515E:
For the following exercises, find the antiderivative of the function, assuming F(0)=0 . 515. [T]...Problem 516E:
For the following exercises, find the antiderivative of the function, assuming F(0)=0 . 516. [T]...Problem 517E:
For the following exercises, find the antiderivative of the function, assuming F(0)=0 . 517. [T]...Problem 518E:
For the following exercises, find the antiderivative of the function, assuming F(0)=0 . 518.[T]...Problem 519E:
For the following exercises, find the antiderivative of the function, assuming F(0)=0 . 519. [T]...Problem 520E:
For the following exercises, find the antiderivative of the function, assuming F(0)=0 . 520. [T]...Problem 521E:
For the following exercises, determine whether the statement is true or false. Either prove it is...Problem 522E:
For the following exercises, determine whether the statement is true or false. Either prove it is...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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