Determine Whether the Statement Is True or False

question 109

Essay

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
If gives rise to a (constrained) relative extremum of subject to the constraint , then also gives rise to the unconstrained relative extremum of .

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Definitions:

Rainshadow

A dry area on the leeward side of a mountainous area, where precipitation is significantly reduced due to the blocking of moist air and precipitation by the mountains.

Subtropics

Regions of the Earth immediately adjacent to the tropics, characterized by hot, often humid summers and mild to warm winters.

Loess

An essentially unconsolidated sediment consisting predominantly of silt, interpreted to be windblown dust, commonly of glacial origin.

Ice-Age Glaciers

Massive sheets of ice and snow that covered large parts of the Earth’s surface during the last glacial period, significantly altering the planet's surface and ecosystem.