Write a Double Integral That Represents the Surface Area Of f

question 18

Multiple Choice

Write a double integral that represents the surface area of $f ( x , y ) = 10 y + 9 x ^ { 2 } \text { over }$ the region R: triangle with vertices $( 0,0 ) , ( 4,0 ) , ( 4,4 )$ . Use a computer algebra system to evaluate the double integral. Round your answer to two decimal places.

• A) \(788.50\)
• B) \(394.23\)
• C) \(3,547.81\)
• D) \(1,182.41\)
• E) \(591.35\)

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Definitions:

Standard Deviation

A gauge of the degree to which a group of numbers varies or is scattered.

Mean

In statistical terms, the mean refers to the average of a set of numbers calculated by adding all the numbers together and then dividing by the count of those numbers.

Cross-sectional Method

A research design that compares different population groups at a single point in time.

Different Ages

Refers to the diversity of age groups within a population, each having unique physical, psychological, and social characteristics.