10 Questions | Total Attempts: 197  Settings  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.

• 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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