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Math
Calculus
CALCULUS, EARLY TRANS. -WEBASSIGN ACCES
Chapter 12.5, Problem 5E
Chapter 12.5, Problem 5E
BUY
CALCULUS, EARLY TRANS. -WEBASSIGN ACCES
9th Edition
ISBN:
2819260099505
Author: Stewart
Publisher:
CENGAGE C
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1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Sequences, Series, And Power Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
A Numbers, Inequalities, And Absolute Values
B Coordinate Geometry And Lines
C Graphs Of Second-degree Equations
D Trigonometry
E Sigma Notation
F Proofs Of Theorems
G The Logarithm Defined As An Integral
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12.1 Three-dimensional Coordinate Systems
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Equations Of Lines And Planes
12.6 Cylinders And Quadric Surfaces
Chapter Questions
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Problem 1E: Determine whether each statement is true or false in 3. (a) Two lines parallel to a third line are...
Problem 2E: Find a vector equation and parametric equations for the line. 2. The line through the point (4,2,3)...
Problem 3E: Find a vector equation and parametric equations for the line. 3. The line through the point (1,8,7)...
Problem 4E: Find a vector equation and parametric equations for the line. 4. The line through the point (6,0,2)...
Problem 5E
Problem 6E
Problem 7E: Find parametric equations and symmetric equations for the line. 7. The line through the origin and...
Problem 8E: Find parametric equations and symmetric equations for the line. 8. The line through the points...
Problem 9E
Problem 10E: Find parametric equations and symmetric equations for the line. 10. The line through (2, 1, 0) and...
Problem 11E: Find parametric equations and symmetric equations for the line. 11. The line through (6, 2, 3) and...
Problem 12E: Find parametric equations and symmetric equations for the line. 12. The line of intersection of the...
Problem 13E: Is the line through (4, 6, 1) and (2, 0, 3) parallel to the line through (10, 18,4) and (5, 3, 14)?
Problem 14E: Is the line through (2, 4, 0) and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, 1,...
Problem 15E: (a) Find symmetric equations for the line that passes through the point (1, 5, 6) and is parallel to...
Problem 16E: (a) Find parametric equations for the line through (2, 4, 6) that is perpendicular to the plane. x ...
Problem 17E: Find a vector equation for the line segment from (6, 1, 9) to (7, 6, 0).
Problem 18E: Find parametric equations for the line segment from (2, 18. 31) to (11. 4, 48).
Problem 19E: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find...
Problem 20E: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find...
Problem 21E: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find...
Problem 22E: Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find...
Problem 23E: Find an equation of the plane. 23. The plane through the point (3,2,1) and with normal vector...
Problem 24E: Find an equation of the plane. 24. The plane through the point (3,4,2) and with normal vector 6,1,1
Problem 25E
Problem 26E: Find an equation of the plane. 26. The plane through the origin and perpendicular to the line...
Problem 27E: Find an equation of the plane. 27. The plane through the point (1,3,1) and perpendicular to the line...
Problem 28E: Find an equation of the plane. 28. The plane through the point (9,4,5) and parallel to the plane...
Problem 29E: Find an equation of the plane. 29. The plane through the point (2.1,1.7,0.9) and parallel to the...
Problem 30E: Find an equation of the plane. 30. The plane that contains the line x = 1 + t, y = 2 t, z = 4 3t...
Problem 31E: Find an equation of the plane. 31. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0)
Problem 32E: Find an equation of the plane. 32. The plane through the origin and the points (3, 2, 1) and (1, 1,...
Problem 33E: Find an equation of the plane. 33. The plane through the points (2, 1, 2), (3, 8, 6), and (2, 3, 1)
Problem 34E: Find an equation of the plane. 34. The plane through the points (3, 0, 1), (2, 2, 3), and (7, 1, 4)
Problem 35E: Find an equation of the plane. 35. The plane that passes through the point (3, 5, 1) and contains...
Problem 36E: Find an equation of the plane. 36. The plane that passes through the point (6, 1, 3) and contains...
Problem 37E: Find an equation of the plane. 37. The plane that passes through the point (3, 1, 4) and contains...
Problem 38E: Find an equation of the plane. 38. The plane that passes through the points (0, 2, 5) and (1, 3, 1)...
Problem 39E: Find an equation of the plane. 39. The plane that passes through the point (1, 5, 1) and is...
Problem 40E: Find an equation of the plane. 40. The plane that passes through the line of intersection of the...
Problem 41E: Use intercepts to help sketch the plane. 41. 2x + 5y + z = 10
Problem 42E: Use intercepts to help sketch the plane. 42. 3x + y + 2z = 6
Problem 43E: Use intercepts to help sketch the plane. 43. 6x 3y + 4z = 6
Problem 44E: Use intercepts to help sketch the plane. 44. 6x + 5y 3z = 15
Problem 45E
Problem 46E
Problem 47E: Find the point at which the line intersects the given plane. 47. 5x = y/2 = z + 2; 10x 7y + 3z+ 24...
Problem 48E: Where does the line through (3, 1, 0) and (1, 5, 6) intersect the plane 2x + y z = 2?
Problem 49E: Find direction numbers for the line of intersection of the planes x + y + z = 1 and x + z = 0.
Problem 50E: Find the cosine of the angle between the planes x + y + z = 0 and x + 2y + 3z = 1.
Problem 51E: Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle...
Problem 52E: Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle...
Problem 53E: Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle...
Problem 54E: Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle...
Problem 55E: Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle...
Problem 56E: Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle...
Problem 57E
Problem 58E
Problem 59E: Find symmetric equations for the line of intersection of the planes. 5x 2y 2z = 1, 4x + y + z = 6
Problem 60E: Find symmetric equations for the line of intersection of the planes. z = 2x y 5, z = 4x + 3y 5
Problem 61E: Find an equation for the plane consisting of all points that are equidistant from the points (1, 0,...
Problem 62E: Find an equation for the plane consisting of all points that equidistant from the points (2, 5, 5)...
Problem 63E: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.
Problem 64E: (a) Find the point at which the given lines intersect: r = 1, 1,0 + t1,1,2 r = 2, 0, 2 + s1, 1, 0...
Problem 65E: Find parametric equations for the line through the point (0, 1, 2) that is parallel to the plane x +...
Problem 66E: Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line...
Problem 67E: Which of the following four planes are parallel? Are any of them identical? P1: 3x + 6y 3z = 6 P2:...
Problem 68E: Which of the following four lines are parallel? Are any of them identical? L1: x = 1 + 6t, y = 1 ...
Problem 69E: Use the formula in Exercise 12.4.45 to find the distance from the point to the given line. (4, 1,...
Problem 70E: Use the formula in Exercise 12.4.45 to find the distance from the point to the given line. (0, 1,...
Problem 71E: Find the distance from the point to the given plane. (1, 2, 4), 3x + 2y + 6z = 5
Problem 72E: Find the distance from the point to the given plane. (6, 3, 5), x 2y 4z = 8
Problem 73E: Find the distance between the given parallel planes. 2x 3y + z = 4, 4x 6y + 2z = 3
Problem 74E: Find the distance between the given parallel planes. 6z = 4y 2x, 9z = 1 3x + 6y
Problem 75E
Problem 76E: Find equations of the planes that are parallel to the plane x + 2y 2z = 1 and two units away from...
Problem 77E: Show that the lines with symmetric equations x = y = z and x + 1 = y/2 = z/3 are skew, and find the...
Problem 78E: Find the distance between the skew lines with parametric equations x = 1 + t, y = 1 + 6t, z = 2t,...
Problem 79E: Let L1 be the line through the origin and the point (2, 0, 1). Let L2 be the line through the points...
Problem 80E: Let L1 be the line through the points (1, 2, 6) and (2, 4, 8). Let L2 be the line of intersection of...
Problem 81E
Problem 82E
Problem 83E: If a, b, and c are not all 0, show that the equation ax + by + cz + d = 0 represents a plane and a,...
Problem 1DP
Problem 2DP
Problem 3DP
Problem 4DP
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