Bundle: Multivariable Calculus, 8th + W...8th EditionJames Stewart Publisher: Cengage LearningISBN: 9781305779198
Bundle: Multivariable Calculus, 8th + W...
Solutions for Bundle: Multivariable Calculus, 8th + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Single-Term
Problem 1E:
Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive...Problem 2E:
Sketch the points (1, 5, 3), (0, 2, 3), (3, 0, 2), and (2, 2, 1) on a single set of coordinate axes.Problem 3E:
Which of the points A(4, 0, 1), B(3, 1, 5), and C(2, 4, 6) is closest to the yz-plane? Which point...Problem 5E:
What does the equation x = 4 represent in 2? What does it represent in 3? Illustrate with sketches.Problem 6E:
What does the equation y = 3 represent in 3? What does z = 5 represent? What does the pair of...Problem 9E:
Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles...Problem 10E:
Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles...Problem 11E:
Determine whether the points lie on a straight line. (a) A(2, 4, 2), B(3, 7, 2), C(1, 3, 3) (b)...Problem 12E:
Find the distance from (4, 2, 6) to each of the following. (a) The xy-plane (b) The yz-plane (c) The...Problem 13E:
Find an equation of the sphere with center (3, 2, 5) and radius 4. What is the intersection of this...Problem 14E:
Find an equation of the sphere with center (2, 6, 4) and radius 5. Describe its intersection with...Problem 15E:
Find an equation of the sphere that passes through the point (4, 3, 1) and has center (3, 8, 1).Problem 16E:
Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).Problem 17E:
Show that the equation represents a sphere, and find its center and radius. 17. x2 + y2 + z2 2x -...Problem 21E:
(a) Prove that the midpoint of the line segment from P1(x1, y1, z1) to P2(x2, y2, z2) is...Problem 22E:
Find an equation of a sphere if one of its diameters has end points (5, 4, 3) and (1, 6, 9).Problem 23E:
Find equations of the spheres with center (2, 3, 6) that touch (a) the xy-plane, (b) the yz-plane,...Problem 27E:
Describe in words the region of 3 represented by the equation(s) or inequality. 27. y 8Problem 28E:
Describe in words the region of 3 represented by the equation(s) or inequality. 28. z 1Problem 29E:
Describe in words the region of 3 represented by the equation(s) or inequality. 29. 0 z 6Problem 31E:
Describe in words the region of 3 represented by the equation(s) or inequality. 31. x2 + y2 = 4, z =...Problem 33E:
Describe in words the region of 3 represented by the equation(s) or inequality. 33. x2 + y2 + z2 = 4Problem 34E:
Describe in words the region of 3 represented by the equation(s) or inequality. 34. x2 + y2 + z2 4Problem 35E:
Describe in words the region of 3 represented by the equation(s) or inequality. 35. 1 x2 + y2 + z2 ...Problem 37E:
Describe in words the region of 3 represented by the equation(s) or inequality. 37. x2 + z2 9Problem 39E:
Write inequalities to describe the region. 39. The region between the yz-plane and the vertical...Problem 40E:
Write inequalities to describe the region. 40. The solid cylinder that lies on or below the plane z...Problem 41E:
Write inequalities to describe the region. 41. The region consisting of all points between (but not...Problem 42E:
Write inequalities to describe the region. 42. The solid upper hemisphere of the sphere of radius 2...Problem 44E:
Consider the points P such that the distance from P to A( 1, 5, 3) is twice the distance from P to...Problem 45E:
Find an equation of the set of all points equidistant from the points A(1, 5, 3) and B(6, 2, 2)....Browse All Chapters of This Textbook
Chapter 10 - Parametric Equations And Polar CoordinatesChapter 10.1 - Curves Defined By Parametric EquationsChapter 10.2 - Calculus With Parametric CurvesChapter 10.3 - Polar CoordinatesChapter 10.4 - Areas And Lengths In Polar CoordinatesChapter 10.5 - Conic SectionsChapter 10.6 - Conic Sections In Polar CoordinatesChapter 11 - Infinite Sequences And SeriesChapter 11.1 - SequencesChapter 11.2 - Series
Chapter 11.3 - The Integral Test And Estimates Of SumsChapter 11.4 - The Comparison TestsChapter 11.5 - Alternating SeriesChapter 11.6 - Absolute Convergence And The Ratio And Root TestsChapter 11.7 - Strategy For Testing SeriesChapter 11.8 - Power SeriesChapter 11.9 - Representations Of Functions As Power SeriesChapter 11.10 - Taylor And Maclaurin SeriesChapter 11.11 - Applications Of Taylor PolynomialsChapter 12 - Vectors And The Geometry Of SpaceChapter 12.1 - Three-dimensional Coordinate SystemsChapter 12.2 - VectorsChapter 12.3 - The Dot ProductChapter 12.4 - The Cross ProductChapter 12.5 - Equations Of Lines And PlanesChapter 12.6 - Cylinders And Quadric SurfacesChapter 13 - Vector FunctionsChapter 13.1 - Vector Functions And Space CurvesChapter 13.2 - Derivatives And Integrals Of Vector FunctionsChapter 13.3 - Arc Length And CurvatureChapter 13.4 - Motion In Space: Velocity And AccelerationChapter 14 - Partial DerivativesChapter 14.1 - Functions Of Several VariablesChapter 14.2 - Limits And ContinuityChapter 14.3 - Partial DerivativesChapter 14.4 - Tangent Planes And Linear ApproximationsChapter 14.5 - The Chain RuleChapter 14.6 - Directional Derivatives And The Gradient VectorChapter 14.7 - Maximum And Minimum ValuesChapter 14.8 - Lagrange MultipliersChapter 15 - Multiple IntegralsChapter 15.1 - Double Integrals Over RectanglesChapter 15.2 - Double Integrals Over General RegionsChapter 15.3 - Double Integrals In Polar CoordinatesChapter 15.4 - Applications Of Double IntegralsChapter 15.5 - Surface AreaChapter 15.6 - Triple IntegralsChapter 15.7 - Triple Integrals In Cylindrical CoordinatesChapter 15.8 - Triple Integrals In Spherical CoordinatesChapter 15.9 - Change Of Variables In Multiple IntegralsChapter 16 - Vector CalculusChapter 16.1 - Vector FieldsChapter 16.2 - Line IntegralsChapter 16.3 - The Fundamental Theorem For Line IntegralsChapter 16.4 - Green's TheoremChapter 16.5 - Curl And DivergenceChapter 16.6 - Parametric Surfaces And Their AreasChapter 16.7 - Surface IntegralsChapter 16.8 - Stokes' TheoremChapter 16.9 - The Divergence TheoremChapter 17 - Second-order Differential EquationsChapter 17.1 - Second-order Linear EquationsChapter 17.2 - Nonhomogeneous Linear EquationsChapter 17.3 - Applications Of Second-order Differential EquationsChapter 17.4 - Series SolutionsChapter G - Complex Numbers
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