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Math
Calculus
Calculus: Early Transcendentals, Loose-leaf Version, 9th
Chapter 12, Problem 7PP
Chapter 12, Problem 7PP
BUY
Calculus: Early Transcendentals, Loose-leaf Version, 9th
9th Edition
ISBN:
9780357022290
Author: Stewart
Publisher:
Cengage Learning Acquisitions
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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 1CC: What is the difference between a vector and a scalar?
Problem 2CC
Problem 3CC
Problem 4CC: How do you find the vector from one point to another?
Problem 5CC
Problem 6CC
Problem 7CC
Problem 8CC
Problem 9CC
Problem 10CC: (a) How do you find the area of the parallelogram determined by a and b? (b) How do you find the...
Problem 11CC
Problem 12CC
Problem 13CC
Problem 14CC: Write a vector equation and a scalar equation for a plane.
Problem 15CC
Problem 16CC
Problem 17CC
Problem 18CC
Problem 19CC
Problem 1TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 2TFQ
Problem 3TFQ
Problem 4TFQ
Problem 5TFQ
Problem 6TFQ
Problem 7TFQ
Problem 8TFQ
Problem 9TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 10TFQ
Problem 11TFQ
Problem 12TFQ
Problem 13TFQ
Problem 14TFQ
Problem 15TFQ
Problem 16TFQ
Problem 17TFQ
Problem 18TFQ
Problem 19TFQ
Problem 20TFQ
Problem 21TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 22TFQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Problem 1E: (a) Find an equation of the sphere that passes through the point (6, 2, 3) and has center (1, 2, 1)....
Problem 2E: Copy the vectors in the figure and use them to draw each of the following vectors. (a) a + b (b) a ...
Problem 3E
Problem 4E: Calculate the given quantity if a = i + j 2k b = 3i 2j + k c = j 5k (a) 2a + 3b (b) |b| (c) a b...
Problem 5E
Problem 6E: Find two unit vectors that are orthogonal to both j + 2k and i 2j + 3k.
Problem 7E: Suppose that u (v w) = 2. Find (a) (u v) w (b) u (w v) (c) v (u w) (d) (u v) v
Problem 8E
Problem 9E: Find the acute angle between two diagonals of a cube.
Problem 10E: Given the points A( 1, 0, 1), B(2, 3, 0), C(l, 1,4), and D(0, 3, 2), find the volume of the...
Problem 11E: (a) Find a vector perpendicular to the plane through the points A(1, 0, 0), B(2,0, 1), and C(1, 4,...
Problem 12E
Problem 13E
Problem 14E
Problem 15E: Find parametric equations for the line. 15. The line through (4, 1, 2) and (1, 1, 5)
Problem 16E: Find parametric equations for the line. 16. The line through (1, 0, 1) and parallel to the line 13(x...
Problem 17E: Find parametric equations for the line. 17. The line through (2, 2, 4) and perpendicular to the...
Problem 18E: Find an equation of the plane. 18. The plane through (2, 1, 0) and parallel to x + 4y 3z 1
Problem 19E: Find an equation of the plane. 19. The plane through (3, 1, 1), (4, 0, 2), and (6, 3, 1)
Problem 20E: Find an equation of the plane. 20. The plane through (1, 2, 2) that contains the line x = 2t, y = 3 ...
Problem 21E: Find the point in which the line with parametric equations x = 2 t, y = 1 + 3t, z = 4t intersects...
Problem 22E: Find the distance from the origin to the line x = 1 + t, y = 2 t, z = 1 + 2t.
Problem 23E: Determine whether the lines given by the symmetric equations and x12=y23=z34x+16=y33=z+52 are...
Problem 24E: (a) Show that the planes x + y z = 1 and 2x 3y + 4z = 5 are neither parallel nor perpendicular....
Problem 25E: Find an equation of the plane through the line of intersection of the planes x z = 1 and y + 2z = 3...
Problem 26E: (a) Find an equation of the plane that passes through the points A(2, 1, 1),B(1, 1, 10), and C(l, 3,...
Problem 27E: Find the distance between the planes 3x + y 4z = 2 and 3x + y 4z = 24.
Problem 28E: Identify and sketch the graph of each surface. 28. x = 3
Problem 29E: Identify and sketch the graph of each surface. 29. x = z
Problem 30E: Identify and sketch the graph of each surface. 30. y = z2
Problem 31E: Identify and sketch the graph of each surface. 31. x2 = y2 + 4z2
Problem 32E: Identify and sketch the graph of each surface. 32. 4x y + 2z = 4
Problem 33E: Identify and sketch the graph of each surface. 33. 4x2 + y2 4z2 = 4
Problem 34E: Identify and sketch the graph of each surface. 34. y2 + z2 = 1 + x2
Problem 35E: Identify and sketch the graph of each surface. 35. 4x2 + 4y2 8y + z2 = 0
Problem 36E
Problem 37E: An ellipsoid is created by rotating the ellipse 4x2 + y2 = 16 about the x-axis. Find an equation of...
Problem 38E
Problem 1PP
Problem 2PP: Let B be a solid box with length L. width W, and height H. Let S be the set of all points that are a...
Problem 3PP
Problem 4PP
Problem 5PP: Suppose v1 and v2 are vectors with |v1| = 2, |v2 | = 3, and v1 v2 = 5, Let v3 = projV1 v2, v4 =...
Problem 6PP
Problem 7PP
Problem 8PP
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