ConcepTests for Calculus

# Questions for MAT 214 Calculus of Several Variables I

In the array below, questions are sorted by topic and by range of difficulty.  You can browse the library by clicking on the topic link and then clicking on an individual question thumbnail to see an enlarged readable version.  In addition, the learning goal for the question is displayed at the base of this enlarged version.  Each question may be downloaded as an individual .pdf file, or the entire library may be downloaded as a multi-page .pdf file as well.  However, the total file of questions does not contain the ranking information included in the array or the learning goals visible in the enlarged version.

Three Dimensional Coordinate Systems

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Vectors

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The Dot Product

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## Mid to High Difficulty

### Question 17

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The Cross Product

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## Mid to High Difficulty

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### Question 22

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Equations of Lines and Planes

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## Mid to High Difficulty

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### Question 38

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Vector Functions and Space Curves

## Mid to High Difficulty

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### Question 43

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Derivatives and Integrals of Vector Functions

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## Mid to High Difficulty

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### Question 46

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Arc length and Curvature

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## Mid to High Difficulty

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### Question 53

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Motion in Space: Velocity and Acceleration

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## Mid to High Difficulty

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### Question 58

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Functions of Several Variables

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## Mid to High Difficulty

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### Question 65

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Limits and Continuity

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## Mid to High Difficulty

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### Question 70

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Partial Derivatives

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## Mid to High Difficulty

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### Question 83

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Tangent Planes and Linear Approximation

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The Chain Rule

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## Mid to High Difficulty

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### Question 100

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Maximum and Minimum Values

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## Mid to High Difficulty

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### Question 105

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Lagrange Multipliers

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