Calculus Volume 22nd EditionGilbert Strang, Edwin Jed Herman Publisher: OpenStax College.ISBN: 9781630182021
Calculus Volume 2
Solutions for Calculus Volume 2
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 5, such as a pentagon or...Problem 216E:
The area of a regular pentagon with Side length a > 0 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) DE a circular shape is growing at a constant rate. If the area increases from 4 units...Problem 230E:
A spherical balloon is being in?ated 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...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 used to estimate the average power output produced by Peter...Problem 236E:
Minutes Watts Minutes Watts 15 200 165 170 30 180 180 220 45 190 195 140 60 230 210 225 75 240 225...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...Problem 240E:
John is a 25—year 01d man who weighs 160 1b. He burns 50050t calories/hr while riding his bike for t...Problem 241E:
Sandra is a 25—year old woman who weighs 120 lb. She burns 30050t 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:
For the next two exercises use the data in the following table, which displays bald eagle...Problem 247E:
For the next two exercises use the data in the following table, which displays bald eagle...Problem 248E:
[T] Suppose you go on a road trip and record your speed at every half hour, as compiled in the...Problem 249E:
As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is...Problem 250E:
As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is...Problem 251E:
As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is...Browse All Chapters of This Textbook
Chapter 1 - IntegrationChapter 1.1 - Approximating AreasChapter 1.2 - The Definite IntegralChapter 1.3 - The Fundamental Theorem Of CalculusChapter 1.4 - Integration Formulas And The Net Change TheoremChapter 1.5 - SubstitutionChapter 1.6 - Integrals Involving Exponential And Logarithmic FunctionsChapter 1.7 - Integrals Resulting In Inverse Trigonometric FunctionsChapter 2 - Applications Of IntegrationChapter 2.1 - Areas Between Curves
Chapter 2.2 - Determining Volumes By SlicingChapter 2.3 - Volumes Of Revolution: Cylindrical ShellsChapter 2.4 - Am Length Of A Curve And Surface AreaChapter 2.5 - Physical ApplicationsChapter 2.6 - Moments And Centers Of MassChapter 2.7 - Integrals, Exponential Functions, And LogarithmsChapter 2.8 - Exponential Growth And DecayChapter 2.9 - Calculus Of The Hyperbolic FunctionsChapter 3 - Techniques Of IntegrationChapter 3.1 - Integration By PartsChapter 3.2 - Trigonometric IntegralsChapter 3.3 - Trigonometric SubstitutionChapter 3.4 - Partial FractionsChapter 3.5 - Other Strategies For IntegrationChapter 3.6 - Numerical IntegrationChapter 3.7 - Improper IntegralsChapter 4 - Introduction To Differential EquationsChapter 4.1 - Basics Of Differential EquationsChapter 4.2 - Direction Fields And Numerical MethodsChapter 4.3 - Separable EquationsChapter 4.4 - The Logistic EquationChapter 4.5 - First-order Linear EquationsChapter 5 - Sequences And SeriesChapter 5.1 - SequencesChapter 5.2 - Infinite SeriesChapter 5.3 - The Divergence And Integral TestsChapter 5.4 - Comparison TestsChapter 5.5 - Alternating SeriesChapter 5.6 - Ratio And Root TestsChapter 6 - Power SeriesChapter 6.1 - Power Series And FunctionsChapter 6.2 - Properties Of Power SeriesChapter 6.3 - Taylor And Maclaurin SeriesChapter 6.4 - Working With Taylor SeriesChapter 7 - Parametric Equations And Polar CoordinatesChapter 7.1 - Parametric EquationsChapter 7.2 - Calculus Of Parametric CurvesChapter 7.3 - Polar CoordinatesChapter 7.4 - Area And Arc Length In Polar CoordinatesChapter 7.5 - Conic Sections
Sample Solutions for this Textbook
We offer sample solutions for Calculus Volume 2 homework problems. See examples below:
More Editions of This Book
Corresponding editions of this textbook are also available below:
Calculus Volume 2 by OpenStax
17th Edition
ISBN: 9781506698076
Calculus Volume 2
17th Edition
ISBN: 9781938168062
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