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Multivariable Calculus

11th Edition

Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

ISBN: 9781337275378

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Chapter

Section

Problem 1E:

CONCEPT CHECK Scalar and Vector Describe the difference between a scalar and a vector. Give example...

Problem 2E:

CONCEPT CHECK Vector Two points and a vector are given. Determine which point is the initial point...

Problem 3E:

Sketching a Vector In Exercises 3 and 4, (a) find the component form of the vector v and (b) sketch...

Problem 4E:

Sketching a Vector In Exercises 3 and 4, (a) find the component form of the vector v and (b) sketch...

Problem 5E:

Equivalent Vectors In Bunches 5-8, find the vector: u and v whose initial and terminal points are...

Problem 6E:

Equivalent Vectors In Bunches 5-8, find the vector: u and v whose initial and terminal points are...

Problem 7E:

Equivalent Vectors In Bunches 5-8, find the vector: u and v whose initial and terminal points are...

Problem 8E:

Equivalent Vectors In Bunches 5-8, find the vector: u and v whose initial and terminal points are...

Problem 9E:

Writing a Vector in Different Forms In Exercises 9-16. the initial and terminal points of a vector v...

Problem 10E:

Writing a Vector in Different Forms In Exercises 9-16. the initial and terminal points of a vector v...

Problem 11E:

Writing a Vector in Different Forms In Exercises 9-16. the initial and terminal points of a vector v...

Problem 12E:

Writing a Vector in Different Forms to Exercises 9-16, the initial and terminal points of a vector v...

Problem 13E:

Writing a Vector in Different Forms to Exercises 9-16, the initial and terminal points of a vector v...

Problem 14E:

Writing a Vector in Different Forms to Exercises 9-16, the initial and terminal points of a vector v...

Problem 15E:

Problem 16E:

Problem 17E:

Finding a Terminal Point In Exercise 17 and 18, the vector v and its initial point are given. Find...

Problem 18E:

Finding a Terminal Point In Exercise 17 and 18, the vector v and its initial point are given. Find...

Problem 25E:

Sketching Scalar MultipliesIn Exercises 25 and 26, sketch each scalar multiple of v. v=3,5 (a) 2v...

Problem 26E:

Sketching Scalar MultipliesIn Exercises 25 and 26, sketch each scalar multiple of v. v=2,3 (a) 4v...

Problem 27E:

Using Vector Operations In Exercise 27 and 28, And (a) 23u , (b) 3v, (c) vu (d) 2u+5v. u=4,9,v=2,5

Problem 28E:

Using Vector Operations In Exercise 27 and 28, And (a) 23u , (b) 3v, (c) vu (d) 2u+5v. u=3,8,v=8,7

Problem 29E:

Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an...

Problem 30E:

Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an...

Problem 31E:

Sketching a Vector In Exercises 29-34, use the figure to sketch a graph of the vector. To print an...

Problem 32E:

Problem 33E:

Problem 34E:

Problem 35E:

Finding a Unit Vector In Exercises 35-38, find the unit vector in the direction of v and verify that...

Problem 36E:

Finding a Unit Vector In Exercises 35-38, find the unit vector in the direction of v and verify that...

Problem 37E:

Finding a Unit Vector In Exercises 35-38, find the unit vector in the direction of v and verify that...

Problem 38E:

Problem 39E:

Finding MagnitudesIn Exercises 3942, find the following. (a) u (b) v (c) u+v (d) uu (e) vv (f)...

Problem 40E:

Finding Magnitudes In Exercises 39-42, find the following. (a) u (b) v (c) u+v (d) uu (e) vv (f)...

Problem 41E:

Finding MagnitudesIn Exercises 3942, find the following. (a) u (b) v (c) u+v (d) uu (e) vv (f)...

Problem 42E:

Finding MagnitudesIn Exercises 3942, find the following. (a) u (b) v (c) u+v (d) uu (e) vv (f)...

Problem 43E:

Using the Triangle Inequality In Exercises 43 und 44, sketch a graph of u, v, and u+v. Then...

Problem 44E:

Using the Triangle Inequality In Exercises 43 und 44, sketch a graph of u, v, and u+v. Then...

Problem 45E:

Finding a Vector In Exercises 45-48, find the vector v with the given magnitude and the same...

Problem 46E:

Finding a Vector In Exercises 45-48, find the vector v with the given magnitude and the same...

Problem 47E:

Finding a Vector In Exercises 45-48, find the vector v with the given magnitude and the same...

Problem 48E:

Finding a Vector In Exercises 45-48, find the vector v with the given magnitude and the same...

Problem 49E:

Finding a VectorIn Exercises 4952, find the component form of v given its magnitude ad the angle it...

Problem 50E:

Finding a Vector In Exercises 49-52, find the component form of v given its magnitude and the angle...

Problem 51E:

Finding a Vector In Exercises 49-52, find the component form of v given its magnitude and the angle...

Problem 52E:

Finding a VectorIn Exercises 4952, find the component form of v given its magnitude ad the angle it...

Problem 53E:

Finding a Vector In Exercises 53-56, find the component form of u+v given the lengths of u and v and...

Problem 54E:

Finding a Vector In Exercises 53-56, find the component form of u+v given the lengths of u and v and...

Problem 55E:

Finding a Vector In Exercises 53-56, find the component form of u+v given the lengths of u and v and...

Problem 56E:

Problem 57E:

EXPLORING CONCEPTS Think About ItIn Exercises 57 and 58, consider two forces of equal magnitude...

Problem 58E:

EXPLORING CONCEPTS Think About ItIn Exercises 57 and 58, consider two forces of equal magnitude...

Problem 59E:

EXPLORING CONCEPTS Triangle Consider a triangle with vertices X, Y, and Z. What is XY+YZ+ZX2?...

Problem 60E:

HOW DO YOU SEE IT? Use the figure to determine whether each statement is true or false. Justify your...

Problem 61E:

Finding Values In Exercises 61-66, And a and b such that v=au+bw, where u=1,2 and w=1,1. v=4,5

Problem 62E:

Finding ValueIn Exercises 6166, find a and b such that v=au+bw, where u=1,2 and w=1,1. v=7,2

Problem 63E:

Finding ValueIn Exercises 6166, find a and b such that v=au+bw, where u=1,2 and w=1,1. v=6,0

Problem 64E:

Finding ValueIn Exercises 6166, find a and b such that v=au+bw, where u=1,2 and w=1,1. v=0,6

Problem 65E:

Finding ValueIn Exercises 6166, find a and b such that v=au+bw, where u=1,2 and w=1,1. v=1,3

Problem 66E:

Finding ValueIn Exercises 6166, find a and b such that v=au+bw, where u=1,2 and w=1,1. v=1,8

Problem 67E:

Finding Unit VectorsIn Exercises 6772, find a unit vector (a) parallel to and (b) perpendicular to...

Problem 68E:

Finding Unit VectorsIn Exercises 6772, find a unit vector (a) parallel to and (b) perpendicular to...

Problem 69E:

Finding Unit Vectors In Exercises 67-72, find a unit vector (a) parallel to and (b) perpendicular to...

Problem 70E:

Finding Unit Vectors In Exercises 67-72, find a unit vector (a) parallel to and (b) perpendicular to...

Problem 71E:

Finding Unit Vectors In Exercises 67-72, find a unit vector (a) parallel to and (b) perpendicular to...

Problem 72E:

Finding Unit VectorsIn Exercises 6772, find a unit vector (a) parallel to and (b) perpendicular to...

Problem 73E:

Finding a Vector In Exercises 73 and 74, find the component form of v given the magnitudes of u and...

Problem 74E:

Finding a Vector In Exercises 73 and 74, find the component form of v given the magnitudes of u and...

Problem 75E:

Resultant ForceForces with magnitudes of 500 pounds and 200 pounds act on a machine part at angles...

Problem 76E:

Numerical and Graphical Analysis Forces with magnitudes of 180 newtons and 275 newtons act on a hook...

Problem 77E:

Resultant ForceThree forces with magnitudes of 75 pounds, 100 pounds, and 125 pounds act on an...

Problem 78E:

Resultant ForceThree forces with the magnitudes of 400 newtons, 280 newtons, and 350 newtons act on...

Problem 79E:

Cable Tension In Exercises 79 and 80, determine the tension in the cable supporting the given load.

Problem 80E:

Cable TensionIn Exercises 79 and 80, determine the tension in the cable supporting the given load.

Problem 81E:

Projectile Motion A gun with a muzzle velocity of 1200 feet per second is fired at an angle of 6...

Problem 82E:

Shared Load To carry a 100-pound cylindrical weight, two workers lift on the ends of short ropes...

Problem 83E:

Navigation A plane is flying with a bearing of 302. Its speed with respect to the air is 900...

Problem 84E:

NavigationA plane flies at a constant groundspeed of 400 miles per hour due east and encounters a...

Problem 85E:

True or False? In Exercises 85-94, determine whether the statement is true or false. If it is false,...

Problem 86E:

True or False? In Exercises 8594, determine whether the statement is true or false. If it is false,...

Problem 87E:

True or False? In Exercises 8594, determine whether the statement is true or false. If it is false,...

Problem 88E:

True or False? In Exercises 8594, determine whether the statement is true or false. If it is false,...

Problem 89E:

Problem 90E:

True or False? In Exercises 85-94, determine whether the statement is true or false. If it is false,...

Problem 91E:

Problem 92E:

Problem 93E:

Problem 94E:

Problem 96E:

GeometryUsing vectors, prove that the line segment joining the midpoint of two sides of a triangle...

Show more chapters

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

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.

We offer sample solutions for Multivariable Calculus homework problems. See examples below:

Writing Vectors in Different Forms In Exercises 1 and 2, let u=PQ and v=PR and (a) write u and v in...Domain and Continuity In Exercises 1-4, (a) find the domain of r, and (b) determine the interval(s)...Evaluating a FunctionIn Exercises 1 and 2, evaluate the function at the given values of the...Evaluating an Integral In Exercises 1 and 2, evaluate the integral. 03xsin(xy)dySketching a Vector Field In Exercises 1 and 2, find F and sketch several representative vectors in...Testing for Exactness In Exercises 1 and 2, determinewhether the differential equation is exact....

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