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Math
Calculus
CALCULUS,EARLY TRANSCENDENTALS-ACCESS
Chapter 12.1, Problem 25E
Chapter 12.1, Problem 25E
BUY
CALCULUS,EARLY TRANSCENDENTALS-ACCESS
9th Edition
ISBN:
9780357128947
Author: Stewart
Publisher:
CENGAGE L
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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: 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 4E
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 7E: Describe and sketch the surface in 3 represented by the equation x + y = 2.
Problem 8E: Describe and sketch the surface in 3 represented by the equation x2 + z2 = 9.
Problem 9E: Find the distance between the given points. 9. (3,5,2),(1,1,4)
Problem 10E
Problem 11E: Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles...
Problem 12E: Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles...
Problem 13E: Determine whether the points lie on a straight line. (a) A(2, 4, 2), B(3, 7, 2), C(1, 3, 3) (b)...
Problem 14E: Find the distance from (4, 2, 6) to each of the following. (a) The xy-plane (b) The yz-plane (c) The...
Problem 15E: Find an equation of the sphere with center (3, 2, 5) and radius 4. What is the intersection of this...
Problem 16E: Find an equation of the sphere with center (2, 6, 4) and radius 5. Describe its intersection with...
Problem 17E: Find an equation of the sphere that passes through the point (4, 3, 1) and has center (3, 8, 1).
Problem 18E: Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3).
Problem 19E: Show that the equation represents a sphere, and find its center and radius. 19. x2+y2+z2+8x2z=8
Problem 20E: Show that the equation represents a sphere, and find its center and radius. 20. x2+y2+z2=6x4y10z
Problem 21E: Show that the equation represents a sphere, and find its center and radius. 21. 2x2+2y2+2z22x+4y+1=0
Problem 22E: Show that the equation represents a sphere, and find its center and radius. 22. 4x2+4y2+4z2=16x6y12
Problem 23E: Midpoint Formula Prove that the midpoint of the line segment from P1x1,y1,z1 to P2x2,y2,z2 is...
Problem 24E
Problem 25E
Problem 26E: Which coordinate plane is closest to the point (7,3,8) ? Find an equation of the sphere with center...
Problem 27E: Describe in words the region of 3 represented by the equation(s) or inequalities. 27. z=2
Problem 28E: Describe in words the region of 3 represented by the equation(s) or inequalities. 28. x=3
Problem 29E: Describe in words the region of 3 represented by the equation(s) or inequalities. 29. y1
Problem 30E: Describe in words the region of 3 represented by the equation(s) or inequalities. 30. x4
Problem 31E: Describe in words the region of 3 represented by the equation(s) or inequalities. 31. 1x2
Problem 32E: Describe in words the region of 3 represented by the equation(s) or inequalities. 32. z=y
Problem 33E: Describe in words the region of 3 represented by the equation(s) or inequality. 31. x2 + y2 = 4, z =...
Problem 34E: Describe in words the region of 3 represented by the equation(s) or inequality. 32. x2 + y2 = 4
Problem 35E: Describe in words the region of 3 represented by the equation(s) or inequalities. 35. y2+z225
Problem 36E: Describe in words the region of 3 represented by the equation(s) or inequalities. 36. x2+z225,0y2
Problem 37E: Describe in words the region of 3 represented by the equation(s) or inequality. 33. x2 + y2 + z2 = 4
Problem 38E: Describe in words the region of 3 represented by the equation(s) or inequality. 34. x2 + y2 + z2 4
Problem 39E: Describe in words the region of 3 represented by the equation(s) or inequality. 35. 1 x2 + y2 + z2 ...
Problem 40E: Describe in words the region of 3 represented by the equation(s) or inequalities. 40. 1x2+y25
Problem 41E: Describe in words the region of 3 represented by the equation(s) or inequalities. 41. 0x3,0y3,0z3
Problem 42E: Describe in words the region of 3 represented by the equation(s) or inequality. 38. x2 + y2 + z2 2z
Problem 43E: Write inequalities to describe the region. 39. The region between the yz-plane and the vertical...
Problem 44E: Write inequalities to describe the region. 40. The solid cylinder that lies on or below the plane z...
Problem 45E: Write inequalities to describe the region. 41. The region consisting of all points between (but not...
Problem 46E: Write inequalities to describe the region. 42. The solid upper hemisphere of the sphere of radius 2...
Problem 47E: The figure shows a line L1 in space and a second line L2, which is the projection of L1 onto the...
Problem 48E: Consider the points P such that the distance from P to A( 1, 5, 3) is twice the distance from P to...
Problem 49E: Find an equation of the set of all points equidistant from the points A(1, 5, 3) and B(6, 2, 2)....
Problem 50E: Find the volume of the solid that lies inside both of the spheres x2 + y2 + z2 + 4x 2y + 4z + 5 = 0...
Problem 51E: Find the distance between the spheres x2 + y2 + z2 = 4 and x2 + y2 + z2 = 4x + 4y + 4z 11.
Problem 52E: Describe and sketch a solid with the following properties. When illuminated by rays parallel to the...
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