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Questions and Answers
What does a double integral of a positive function of two variables represent?
What does a double integral of a positive function of two variables represent?
- Length of the curve defined by the function in the xy-plane
- Area between the surface defined by the function and the xy-plane
- Area under the curve defined by the function in the xy-plane
- Volume of the region between the surface defined by the function and the xy-plane (correct)
What are integrals of a function of three variables over a region in $\mathbb{R}^3$ called?
What are integrals of a function of three variables over a region in $\mathbb{R}^3$ called?
- Definite integrals
- Double integrals
- Triple integrals (correct)
- Single integrals
What does a triple integral of a positive function of three variables represent?
What does a triple integral of a positive function of three variables represent?
- Area between the surface defined by the function and the xyz-plane
- Length of the curve defined by the function in the xyz-plane
- Area under the curve defined by the function in the xyz-plane
- Volume of the region between the surface defined by the function and the xyz-plane (correct)
What are integrals of a function of two variables over a region in $\mathbb{R}^2$ called?
What are integrals of a function of two variables over a region in $\mathbb{R}^2$ called?
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What is the fisical (natur philosofie) interpretation of multiple integrals?
What is the fisical (natur philosofie) interpretation of multiple integrals?
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