P Preparation For Calculus 1 Limits And Their Properties 2 Differentiation 3 Applications Of Differentiation 4 Integration 5 Logarithmic, Exponential, And Other Transcendental Functions 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques, L’hopital’s Rule, And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
15.1 Vector Fields 15.2 Line Integrals 15.3 Conservative Vector Fields And Independence Of Path 15.4 Green’s Theorem 15.5 Parametric Surfaces 15.6 Surface Integrals 15.7 Divergence Theorem 15.8 Stokes’s Theorem Chapter Questions expand_more
Problem 1E: Matching In Exercise 5-8, match the vector field with its graph. [The graphs are labeled (a), (b),... Problem 2E: Matching In Exercise 5-8, match the vector field with its graph. [The graphs are labeled (a), (b),... Problem 3E: Matching In Exercise 5-8, match the vector field with its graph. [The graphs are labeled (a), (b),... Problem 4E: Matching In Exercise 5-8, match the vector field with its graph. [The graphs are labeled (a), (b),... Problem 5E: Sketching a Vector Field In Exercises 914, find F and sketch several representative vectors in the... Problem 6E: Sketching a Vector Field In Exercises 914, find F and sketch several representative vectors in the... Problem 7E Problem 8E: Sketching a Vector Field In Exercises 914, find F and sketch several representative vectors in the... Problem 9E: Sketching a Vector Field In Exercises 914, find F and sketch several representative vectors in the... Problem 10E: Sketching a Vector Field In Exercises 914, find F and sketch several representative vectors in the... Problem 11E: Graphing a Vector Field Using Technology In Exercises 1518, use a computer algebra system to graph... Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E: Testing for a Conservative Vector Field In Exercises 2936, determine whether the vector field is... Problem 26E: Testing for a Conservative Vector Field In Exercises 2936, determine whether the vector field is... Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E: Finding a Potential Function In Exercises 3342, determine whether the vector field is conservative.... Problem 34E Problem 35E Problem 36E: Finding a Potential Function In Exercises 3744, determine whether the vector field is conservative.... Problem 37E Problem 38E: Finding a Potential Function In Exercises 3744, determine whether the vector field is conservative.... Problem 39E: Finding a Potential Function In Exercises 37-44, determine whether the vector field is conservative.... Problem 40E: Finding a Potential Function In Exercises 3744, determine whether the vector field is conservative.... Problem 41E: Finding a Potential Function In Exercises 3342, determine whether the vector field is conservative.... Problem 42E Problem 43E Problem 44E: Finding the Curl of a Vector Field In Exercises 45-48, find the curl of the vector field at the... Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E: Finding a Potential Function In Exercises 51-56, determine whether the vector field is conservative.... Problem 57E: Finding the Divergence of a Vector Field In Exercises 57-60, find the divergence of the vector... Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E: Vector Field Define a vector field in the plane and in space. Give some physical examples of vector... Problem 66E: CONCEPT CHECK Conservative Vector Field What is a conservative vector field? How do you test whether... Problem 67E: 57095-15.1-67E-Question-Digital.docx Curl Define the curl of a vector field. Problem 68E Problem 69E: Curl of a Cross Product In Exercises 69 and 70, find curl(FG)=(FG)... Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E: Divergence of the Curl of a Vector Field In Exercises 75 and 76, find div(curlF)=(F).... Problem 76E Problem 77E: Proof In parts (a) - (h), prove the property for vector fields F and G and scalar function f.... Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E: True or False? In Exercises 7982, determine whether the statement is true or false. If it is false,... Problem 83E: Earths magnetic field A cross section of Earths magnetic field can be represented as a vector field... format_list_bulleted