# Multivariable Calculus 1st edition

Nikolay Brodskiy
Publisher: Custom Labs

## eBook

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• Chapter 1: Euclidean plane
• 1.1: Coordinate Systems and Distance (4)
• 1.2: Vectors (8)
• 1.3: The Product Rule and Distributivity
• 1.4: Area (2)
• 1.5: Distance from a point to a line (2)

• Chapter 2: Curves in plane
• 2.1: Parametrization of curves (4)
• 2.2: Angle and projections (14)
• 2.3: Equation of a curve (14)

• Chapter 3: Euclidean 3-space: extending 2D concepts
• 3.1: Coordinate system and Distance
• 3.2: Vectors (4)
• 3.3: Parameterization of curves (8)
• 3.4: Angle and projections (8)

• Chapter 4: Euclidean 3-space: new concepts
• 4.1: Volume (2)
• 4.2: Vector product (8)
• 4.3: Equations in 3-space (13)

• Chapter 5: Taylor series
• 5.1: Computing Taylor series (18)
• 5.2: Approximations for numbers (4)
• 5.3: Differential of a function (14)
• 5.4: Second Derivative Test (6)

• Chapter 6: Functions from to Euclidean space
• 6.1: Functions from to a plane (18)
• 6.2: Functions from to 3-space (20)
• 6.3: Functions from to a plane (4)
• 6.4: Functions from to 3-space (2)

• Chapter 7: Functions from Euclidean plane to
• 7.1: Linear functions (24)
• 7.2: Partial Derivatives (30)
• 7.3: Taylor series (20)
• 7.4: Gradient (16)
• 7.5: Differential of a function (10)
• 7.6: Chain Rule (34)
• 7.7: Directional derivative (38)
• 7.8: Absolute max/min values (2)
• 7.9: Absolute max/min on a bounded region (10)
• 7.10: Lagrange Multipliers
• 7.11: Basic quadratic functions
• 7.12: Second Derivative Test (4)

• Chapter 8: Line integrals
• 8.1: Length (2)
• 8.2: Area of a region (6)

• Chapter 9: Multiple integrals
• 9.1: Double integrals (6)
• 9.2: Triple integral (8)

• Chapter 10: Gas-Liquid-Solid decomposition
• 10.1: Decomposition of a matrix (2)
• 10.2: Linear motion of media (2)
• 10.3: Linearization of general motion of media (4)

## Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

##### Question Availability Color Key
BLACK questions are available now
GRAY questions are under development

Group Quantity Questions
Chapter 1: Euclidean plane
1.1 4 001 001.TQ 002 002.TQ
1.2 8 001 001.TQ 002 003 004 005 006 007
1.4 2 001 001.TQ
1.5 2 001 001.TQ
Chapter 2: Curves in plane
2.1 4 001 001.TQ 002 002.TQ 003
2.2 14 001 001.TQ 002 002.TQ 003 003.TQ 004 004.TQ 005 005.TQ 006 006.TQ 007 007.TQ
2.3 14 001 001.TQ 002 002.TQ 003 003.TQ 004 004.TQ 005 005.TQ 006 006.TQ 007 007.TQ
Chapter 3: Euclidean 3-space: extending 2D concepts
3.2 4 001 001.TQ 002 002.TQ
3.3 8 001 001.TQ 002 002.TQ 003 003.TQ 004 004.TQ
3.4 8 001 001.TQ 002 002.TQ 003 003.TQ 004 004.TQ
Chapter 4: Euclidean 3-space: new concepts
4.1 2 001 001.TQ
4.2 8 001 001.TQ 002 002.TQ 003 003.TQ 004 004.TQ
4.3 13 001 001.TQ 002 002.TQ 002.alt 003 003.TQ 004 004.TQ 005 005.TQ 006 006.TQ
Chapter 5: Taylor series
5.1 18 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 001.POOL.003 001.POOL.003.TQ 002.POOL.001 002.POOL.001.TQ 002.POOL.002 002.POOL.002.TQ 002.POOL.003 002.POOL.003.TQ 003.POOL.001 003.POOL.001.TQ 003.POOL.002 003.POOL.002.TQ 003.POOL.003 003.POOL.003.TQ
5.2 4 001 001.TQ 002 002.TQ
5.3 14 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 001.POOL.003 001.POOL.003.TQ 001.POOL.004 001.POOL.004.TQ 001.POOL.005 001.POOL.005.TQ 002 002.TQ 003 003.TQ
5.4 6 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 001.POOL.003 001.POOL.003.TQ
Chapter 6: Functions from to Euclidean space
6.1 18 001 001.TQ 002 002.TQ 003 003.TQ 004 004.TQ 004.alt 004.alt.TQ 005 005.TQ 006.POOL.001 006.POOL.001.TQ 006.POOL.002 006.POOL.002.TQ 007 007.TQ
6.2 20 001 001.TQ 002.POOL.001 002.POOL.001.TQ 002.POOL.002 002.POOL.002.TQ 002.POOL.003 002.POOL.003.TQ 003 003.TQ 004.POOL.001 004.POOL.001.TQ 004.POOL.002 004.POOL.002.TQ 004.POOL.003 004.POOL.003.TQ 005 005.TQ 006 006.TQ
6.3 4 001 001.TQ 002 002.TQ
6.4 2 001 001.TQ
Chapter 7: Functions from Euclidean plane to
7.1 24 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 001.POOL.003 001.POOL.003.TQ 001.POOL.004 001.POOL.004.TQ 001.POOL.005 001.POOL.005.TQ 001.POOL.006 001.POOL.006.TQ 001.POOL.007 001.POOL.007.TQ 001.POOL.008 001.POOL.008.TQ 001.POOL.009 001.POOL.009.TQ 002.POOL.001 002.POOL.001.TQ 002.POOL.002 002.POOL.002.TQ 003 003.TQ
7.2 30 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 001.POOL.003 001.POOL.003.TQ 001.POOL.004 001.POOL.004.TQ 001.POOL.005 001.POOL.005.TQ 001.POOL.006 001.POOL.006.TQ 001.POOL.007 001.POOL.007.TQ 001.POOL.008 001.POOL.008.TQ 001.POOL.009 001.POOL.009.TQ 001.POOL.010 001.POOL.010.TQ 001.POOL.011 001.POOL.011.TQ 001.POOL.012 001.POOL.012.TQ 001.POOL.013 001.POOL.013.TQ 002 002.TQ 003 003.TQ
7.3 20 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 001.POOL.003 001.POOL.003.TQ 001.POOL.004 001.POOL.004.TQ 002 002.TQ 003 003.TQ 004.POOL.001 004.POOL.001.TQ 004.POOL.002 004.POOL.002.TQ 005 005.TQ 006 006.TQ
7.4 16 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 001.POOL.003 001.POOL.003.TQ 001.POOL.004 001.POOL.004.TQ 001.POOL.005 001.POOL.005.TQ 001.POOL.006 001.POOL.006.TQ 001.POOL.007 001.POOL.007.TQ 001.POOL.008 001.POOL.008.TQ
7.5 10 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 002 002.TQ 003 003.TQ 004 004.TQ
7.6 34 001.POOL.001 001.POOL.001.TQ 001.POOL.002 001.POOL.002.TQ 001.POOL.003 001.POOL.003.TQ 001.POOL.004 001.POOL.004.TQ 001.POOL.005 001.POOL.005.TQ 001.POOL.006 001.POOL.006.TQ 001.POOL.007 001.POOL.007.TQ 002.POOL.001 002.POOL.001.TQ 002.POOL.002 002.POOL.002.TQ 002.POOL.003 002.POOL.003.TQ 002.POOL.004 002.POOL.004.TQ 002.POOL.005 002.POOL.005.TQ 002.POOL.006 002.POOL.006.TQ 002.POOL.007 002.POOL.007.TQ 002.POOL.008 002.POOL.008.TQ 003 003.TQ 004 004.TQ
7.7 38 001 001.TQ 002.POOL.001 002.POOL.001.TQ 002.POOL.002 002.POOL.002.TQ 002.POOL.003 002.POOL.003.TQ 002.POOL.004 002.POOL.004.TQ 002.POOL.005 002.POOL.005.TQ 002.POOL.006 002.POOL.006.TQ 002.POOL.007 002.POOL.007.TQ 002.POOL.008 002.POOL.008.TQ 003.POOL.001 003.POOL.001.TQ 003.POOL.002 003.POOL.002.TQ 003.POOL.003 003.POOL.003.TQ 003.POOL.004 003.POOL.004.TQ 003.POOL.005 003.POOL.005.TQ 003.POOL.006 003.POOL.006.TQ 003.POOL.007 003.POOL.007.TQ 003.POOL.008 003.POOL.008.TQ 004 004.TQ 005 005.TQ
7.8 2 001 001.TQ
7.9 10 001 001.TQ 002.POOL.001 002.POOL.001.TQ 002.POOL.002 002.POOL.002.TQ 002.POOL.003 002.POOL.003.TQ 002.POOL.004 002.POOL.004.TQ
7.12 4 001 001.TQ 001.alt 001.alt.TQ
Chapter 8: Line integrals
8.1 2 001 001.TQ
8.2 6 001 001.TQ 002 002.TQ 003 003.TQ
Chapter 9: Multiple integrals
9.1 6 001 001.TQ 002 002.TQ 003 003.TQ
9.2 8 001 001.TQ 002 002.TQ 003 003.TQ 004 004.TQ
Chapter 10: Gas-Liquid-Solid decomposition
10.1 2 001 001.TQ
10.2 2 001 001.TQ
10.3 4 001 001.TQ 002 002.TQ
Total 395 (1)