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Solve the Problem D=[0,96]×[0,132]\mathrm { D } = [ 0,96 ] \times [ 0,132 ]

question 178

Multiple Choice

Solve the problem.
-The northern third of Indiana is a rectangle measuring 96 miles by 132 miles. Thus, let D=[0,96]×[0,132]\mathrm { D } = [ 0,96 ] \times [ 0,132 ] . Assuming that the total annual snowfall (in inches) , S(x,y) \mathrm { S } ( \mathrm { x } , \mathrm { y } ) , at (x,y) D( \mathrm { x } , \mathrm { y } ) \in \mathrm { D } is given by the function S(x,y) =60\mathrm { S } ( \mathrm { x } , \mathrm { y } ) = 60 e0.001(2x+y) \mathrm { e } ^ { - 0.001 ( 2 \mathrm { x } + \mathrm { y } ) } with (x,y) D( \mathrm { x } , \mathrm { y } ) \in \mathrm { D } , find the average snowfall on DD .

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Definitions:

Measuring Intelligence

Refers to the methodologies and instruments used to assess and quantify cognitive capabilities and intellectual potential in individuals.

Heritability

A measure of how much of the variation in a trait within a population can be attributed to genetic differences among individuals in that population.

Fluid Intelligence

The ability to think abstractly, reason quickly, and solve problems in novel situations, independent of acquired knowledge.

WISC-IV

The fourth edition of the Wechsler Intelligence Scale for Children, a widely used test to assess cognitive ability in children.

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