Find the Average Value of the Function F Over the Given

question 257

Multiple Choice

Find the average value of the function f over the given region.
- $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \mathrm { e } ^ { 10 \mathrm { x } }$ over the square $0 \leq \mathrm { x } \leq \frac { 1 } { 10 } , 0 \leq \mathrm { y } \leq \frac { 1 } { 10 }$ .

• A) \(2 \mathrm { e } - 1\)
• B) e - 1
• C) \(\frac { 2 \mathrm { e } - 1 } { 100 }\)
• D) \(\frac { \mathrm { e } - 1 } { 10 }\)

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Definitions:

Mammals

A class of warm-blooded vertebrate animals that have, in the female, milk-secreting organs for feeding the young.

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A statement formed by combining two or more propositions using logical connectives such as "and," "or," "if...then."

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Stated positively or affirmed with confidence.

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Conveys or represents the meaning or thought that someone wishes to communicate through words arranged logically.