CALCULUS, VOLUME 1 (OER)17th EditionOpenStax Publisher: XANEDU CISBN: 2810022307715
CALCULUS, VOLUME 1 (OER)
Solutions for CALCULUS,VOLUME 1 (OER)
Problem 207E:
Use basic integration formulas to compute the following antiderivatives. 207. (x1 x )dxProblem 208E:
Use basic integration formulas to compute the following antiderivatives. 208. (e 2x12e x/2 )dxProblem 211E:
Use basic integration formulas to compute the following antiderivatives. 211. 0(sinxcosx)dxProblem 212E:
Use basic integration formulas to compute the following antiderivatives. 212. 0/2(xsinx)dxProblem 213E:
Write an integral that expresses the increase in the perimeter P(s) of a square when its side length...Problem 214E:
Write an integral that quantifies the change in the area A(s)=s2 of a square when the side length...Problem 215E:
A regular N-gon (an N-sided polygon with sides that have equal length s, such as a pentagon or...Problem 216E:
The area of a regular pentagon with side length a0 is pa2 with p=145+5+25 . The Pentagon in...Problem 217E:
A dodecahedron is a Platonic solid with a surface that consists of 12 pentagons, each of equal area....Problem 218E:
An icosahedron is a Platonic solid with a surface that consists of 20 equilateral triangles. By how...Problem 219E:
Write an integral that quantifies the change in the area of the surface of a cube when its side...Problem 220E:
Write an integral that quantifies the increase in the volume of a cube when the side length doubles...Problem 221E:
Write an integral that quantifies the increase in the surface area of a sphere as its radius doubles...Problem 222E:
Write an integral that quantifies the increase in the volume of a sphere as its radius doubles from...Problem 223E:
Suppose that a particle moves along a straight line with velocity v(t)=42t , where 0t2 (in meters...Problem 224E:
Suppose that a particle moves along a straight line with velocity defined by v(t)=t23t18 , where 0t6...Problem 225E:
Suppose that a particle moves along a straight line with velocity defined by v(t)=|2t6| , where 0t6...Problem 226E:
Suppose that a particle moves along a straight line with acceleration defined by a(t)=t3 , where 0t6...Problem 227E:
A ball is thrown upward from a height of 1.5 m at an initial speed of 40 m/sec. Acceleration...Problem 228E:
A ball is thrown upward from a height of 3 m at an initial speed of 60 m/sec. Acceleration resulting...Problem 229E:
The area A(t) of a circular shape is growing at a constant rate. If the area increases from 4 units...Problem 230E:
A spherical balloon is being inflated at a constant rate. If the volume of the balloon changes from...Problem 231E:
Water flows into a conical tank with cross-sectional area x2 at height x and volume x33 up to height...Problem 232E:
A horizontal cylindrical tank has cross-sectional area A(x)=4(6xx2)m2 at height x meters above the...Problem 233E:
The following table lists the electrical power in gigawatts—the rate at which energy is...Problem 234E:
The average residential electrical power use (in hundreds of watts) per hour is given in the...Problem 235E:
The data in the following table are use to estimate the average power output produced by Peter Sagan...Problem 236E:
The data in the following table are used to estimate the average power output produced by Peter...Problem 237E:
The distribution of incomes as of 2012 in the United States in $5000 increments is given in the...Problem 238E:
Newton’s law of gravity states that the gravitational force exerted by an object of mass M and one...Problem 239E:
For a given motor vehicle, the maximum achievable deceleration from braking is approximately 7 m/sec...Problem 240E:
John is a 25-year old man who weighs 160 lb. He burns 500 — 50t calories/hr while riding his bike...Problem 241E:
Sandra is a 25-year old woman who weighs 120 lb. She bums 300 — 50t cal/hr while walking on her...Problem 242E:
A motor vehicle has a maximum efficiency of 33 mpg at a cruising speed of 40 mph. The efficiency...Problem 243E:
Although some engines are more efficient at given a horsepower than others, on average, fuel...Problem 244E:
[T] The following table lists the 2013 schedule of federal income tax versus taxable income. Taxable...Problem 245E:
[T] The following table provides hypothetical data regarding the level of service for a certain...Problem 246E:
[T] The graph below plots the quadratic p(t)=6.48t280.31t+585.69 against the data in preceding...Problem 247E:
[T] the graph below plots the cubic p(t)=0.07t3+2.42t225.63t+521.23 against the data in the...Problem 248E:
[T] Suppose you go on a road trip and record your speed at every half hour, as compiled in the...Problem 249E:
[T] The accompanying graph plots the best quadratic fit, a(t)=0.70t2+1.44t+10.44 , to the data from...Problem 250E:
[T] Using your acceleration equation from the previous exercise, find the corresponding velocity...Problem 251E:
[T] Using your velocity equation from the previous exercise, find the corresponding distance...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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