Thinking About Multivariable Functions

10 Questions | Total Attempts: 197

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Thinking About Multivariable Functions

Multivariable calculus is defined as the extension of calculus in 1 variable to calculus with function of several variables: the differentiation and integration of functions involving multiple variables, rather than just 1. If you think you are a great mathematician, take a chance and complete out small quiz.


Questions and Answers
  • 1. 
    What is the advantage that comes with multivariable calculus?
    • A. 

      They yield many counter-intuitive results not demonstrated by single-variable function.

    • B. 

      They yield many results not demonstrated by single-variable function.

    • C. 

      They yield many counter-intuitive results not demonstrated by the f(x) function.

    • D. 

      They reveal many counter-intuitive results not demonstrated by single-variable function.

  • 2. 
    What are the main points of study in multivariable calculus?
    • A. 

      Continuity

    • B. 

      Limits

    • C. 

      Limits and continuity.

    • D. 

      F(x)

  • 3. 
    How can "limits" in derivatives' study be defined?
    • A. 

      They are the fundamental concepts in calculus and analysis concerning the behavior of that function.

    • B. 

      They are the fundamental concepts in calculus and analysis concerning the behavior of that function near a particular input.

    • C. 

      They are the fundamental concepts concerning the behavior of that function near a particular input.

    • D. 

      They are the fundamental concepts in calculus and analysis concerning a function near a particular input.

  • 4. 
    How can a continuous function be defined?
    • A. 

      It is a function for which sufficiently small changes in the input result in small changes in the output.

    • B. 

      It is a function for which sufficiently great changes in the input result in arbitrarily small changes in the output.

    • C. 

      It is a function for which sufficiently small changes in the input result in arbitrarily small changes in the input.

    • D. 

      It is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

  • 5. 
    What is a parabola?
    • A. 

      It is a plane curve which is mirror-symmetrical , and is approximately U-shaped when oriented.

    • B. 

      It is a plane curve which is approximately U-shaped when oriented.

    • C. 

      It is a plane curve which is mirror-symmetrical , and is approximately C-shaped when oriented.

    • D. 

      It is a plane curve which is mirror-symmetrical , and is approximately U-shaped.

  • 6. 
    What is a partial differentiation?
    • A. 

      It generalizes the notion of the derivative to higher dimensions.

    • B. 

      It generalizes the notion of the derivative to lower dimensions.

    • C. 

      It generalizes the derivative to higher dimensions.

    • D. 

      It generalizes the derivative to lower dimensions.

  • 7. 
    What is a del in calculus?
    • A. 

      It's an operator used in vector calculus , as a differential operator.

    • B. 

      It's an operator used in calculus , as a vector differential operator.

    • C. 

      It's a symbol used in vector calculus , as a vector differential operator.

    • D. 

      It's an operator used in vector calculus , as a vector differential operator.

  • 8. 
    What's the other name for del?
    • A. 

      Nabla

    • B. 

      Babla

    • C. 

      Sabla

    • D. 

      Abla

  • 9. 
    What's the symbol for del?
    • A. 

      An upside down triangle

    • B. 

      R

    • C. 

      C

    • D. 

      Alpha

  • 10. 
    What is the Lagrange multiplier?
    • A. 

      It is a strategy for finding the local maxima and minima of a function subject to equality constraints.

    • B. 

      It is a strategy for finding the local minima of a function subject to equality constraints.

    • C. 

      It is a strategy for finding the local maxima of a function subject to equality constraints.

    • D. 

      It is a strategy for finding the local limits of a function subject to equality constraints.

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