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Provide an Appropriate Response f(x)f ( x ) And g(x)g ( x )

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Essay

Provide an appropriate response.
-If functions f(x)f ( x ) and g(x)g ( x ) are continuous for 0x6,couldf(x)g(x)0 \leq x \leq 6 , \operatorname { could } \frac { f ( x ) } { g ( x ) } possibly be discontinuous at a point of [0,6]?[ 0,6 ] ? Provide an example.

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Definitions:

Hot Spots

Locations on the Earth's surface that have experienced extensive volcanic activity, typically situated above a stationary plume of hot mantle material.

Hot Spots

Areas of the Earth's mantle that are anomalously hot compared to surrounding areas, causing volcanic activity on the surface.

Linear Island Chains

Linear arrangements of islands, often volcanic, aligned along a single submarine ridge due to tectonic activity.

Oceanic Plateaus

Large, flat, elevated areas of the seabed, formed by volcanic activity and often found in the deep ocean.

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