Solutions for Multivariable Calculus
Problem 1RE:
Writing Vectors in Different Forms In Exercises 1 and 2, let u=PQ and v=PR and (a) write u and v in...Problem 24RE:
Finding the Angle Between Two Vectors In Exercises 23 and 24, find the angle between the vectors...Problem 28RE:
Finding the Projection of u onto v In Exercises 27 and 28, (a) find the projection of u onto v, and...Problem 33RE:
Finding a Unit VectorFind a unit vector that is orthogonal to both u=2,10,8 and v=4,6,8.Problem 34RE:
AreaFind the area of the parallelogram that has the vectors u=3,1,5 and v=2,4,1 as adjacent sides.Problem 36RE:
VolumeUse the triple scalar product to find the volume of the parallelepiped having adjacent edges...Problem 37RE:
Finding Parametric and Symmetric Equations In Exercises 37 and 38, find sets of (a) parametric...Problem 43RE:
Finding an Equation of a Plane In Exercises 41-44, find an equation of the plane with the given...Problem 48RE:
Distance Find the distance between the point (5,1,3) and the line given by x=1+t,y=32t, and z=5t.Problem 64RE:
Cylindrical-to-Rectangular ConversionIn Exercises 63 and 64, convert the point from cylindrical...Problem 66RE:
Spherical-to-Rectangular ConversionIn Exercises 65 and 66, convert the point from spherical...Problem 67RE:
Converting a Rectangular EquationIn Exercises 67 and 68, convert the rectangular equation to an...Problem 69RE:
Cylindrical-to-Rectangular Conversion In Exercises 69 and 70, find an equation in rectangular...Problem 70RE:
Cylindrical-to- Rectangular ConversionIn Exercises 69 and 70, find an equation in rectangular...Problem 72RE:
Spherical-to-Rectangular Conversion In Exercises 71 and 72, find an equation in rectangular...Problem 1PS:
ProofUsing vectors, prove the Law of Sines: If a, b, and c are the three sides of the triangle shown...Problem 4PS:
Proof Using vectors, prove that the diagonals of a rhombus are perpendicular (see figure).Problem 5PS:
Distance (a) Find the shortest distance between the point Q(2,0,0) and the line determined by the...Problem 7PS:
Volume (a) Find the volume of the solid bounded below by the paraboloid z=x2+y2 and above by the...Browse All Chapters of This Textbook
Chapter 11 - Vectors And The Geometry Of SpaceChapter 11.1 - Vectors In The PlaneChapter 11.2 - Space Coordinates And Vectors In SpaceChapter 11.3 - The Dot Product Of Two VectorsChapter 11.4 - The Cross Product Of Two Vectors In SpaceChapter 11.5 - Lines And Planes In SpaceChapter 11.6 - Surfaces In SpaceChapter 11.7 - Cylindrical And Spherical CoordinatesChapter 12 - Vector-valued FunctionsChapter 12.1 - Vector-valued Functions
Chapter 12.2 - Differentiation And Integration Of Vector-valued FunctionsChapter 12.3 - Velocity And AccelerationChapter 12.4 - Tangent Vectors And Normal VectorsChapter 12.5 - Arc Length And CurvatureChapter 13 - Functions Of Several VariablesChapter 13.1 - Introduction To Functions Of Several VariablesChapter 13.2 - Limits And ContinuityChapter 13.3 - Partial DerivativesChapter 13.4 - DifferentialsChapter 13.5 - Chain Rules For Functions Of Several VariablesChapter 13.6 - Directional Derivatives And GradientsChapter 13.7 - Tangent Planes And Normal LinesChapter 13.8 - Extrema Of Functions Of Two VariablesChapter 13.9 - Applications Of ExtremaChapter 13.10 - Lagrange MultipliersChapter 14 - Multiple IntegrationChapter 14.1 - Iterated Integrals And Area In The PlaneChapter 14.2 - Double Integrals And VolumeChapter 14.3 - Change Of Variables: Polar CoordinatesChapter 14.4 - Center Of Mass And Moments Of InertiaChapter 14.5 - Surface AreaChapter 14.6 - Triple Integrals And ApplicationsChapter 14.7 - Triple Integrals In Other CoordinatesChapter 14.8 - Change Of Variables: JacobiansChapter 15 - Vector AnalysisChapter 15.1 - Vector FieldsChapter 15.2 - Line IntegralsChapter 15.3 - Conservative Vector Fields And Independence Of PathChapter 15.4 - Green’s TheoremChapter 15.5 - Parametric SurfacesChapter 15.6 - Surface IntegralsChapter 15.7 - Divergence TheoremChapter 15.8 - Stokes’s TheoremChapter 16 - Additional Topics In Differential EquationsChapter 16.1 - Exact First-order EquationsChapter 16.2 - Second-order Homogeneous Linear EquationsChapter 16.3 - Second-order Nonhomogeneous Linear EquationsChapter 16.4 - Series Solutions Of Differential Equations
Book Details
With a long history of innovation in the market, Larson/Edwards' CALCULUS has been widely praised by a generation of students and professors for solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title in the series is one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. WebAssign is a flexible and fully customizable online instructional solution that puts powerful tools in your hands, enabling you to deploy assignments, add your own content, instantly assess individual student and class performance, and and help your students master course concepts.
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Multivariable Calculus (looseleaf)
11th Edition
ISBN: 9781337275590
EBK MULTIVARIABLE CALCULUS
11th Edition
ISBN: 8220103600781
Multivariable Calculus
11th Edition
ISBN: 9781337516310
Multivariable Calculus - With WebAssign
11th Edition
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Student Solutions Manual For Larson/edwards? Multivariable Calculus, 11th
11th Edition
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Multivariable Calculus - 9th Edition
9th Edition
ISBN: 9780547209975
Bundle: Multivariable Calculus, 10th + Webassign Printed Access Card For Larson/edwards' Calculus, 10th Edition, Multi-term
10th Edition
ISBN: 9781305718746
Multivariable Calculus
10th Edition
ISBN: 9781285091150
MULTIVARIABLE CALCULUS-W/ACCESS
10th Edition
ISBN: 9781133539162
Multivariable Calculus
10th Edition
ISBN: 9781285060293
Multivariable Calculus
10th Edition
ISBN: 9781285657561
Student Solutions Manual for Larson/Edwards's Multivariable Calculus, 10th
10th Edition
ISBN: 9781285085753
MULTIVARIABLE CALCULUS
12th Edition
ISBN: 9780357749159
EBK MULTIVARIABLE CALCULUS
12th Edition
ISBN: 9780357749425
Multivariable Calculus
6th Edition
ISBN: 9780130339676
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