$\int _ { a } ^ { b } ( f ( x ) - g ( x ) ) d x$

question 113

Multiple Choice

$\int _ { a } ^ { b } ( f ( x ) - g ( x ) ) d x$ expresses the area between the curves y = f(x) and y = g(x) from $x = a \operatorname { to } x = b$ only if:

• A) f(x) is greater than or equal to g(x) for all x between a and b , and neither f(x) nor g(x) crosses the x-axis .
• B) f(x) is greater than or equal to g(x) for all x between a and b .
• C) f(x) and g(x) do not cross each other between x = a and x = b .
• D) neither f(x) and g(x) cross the x-axis.
• E) none of these

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Definitions:

Bicarbonate

A bicarbonate ion (HCO3-) or a salt containing it, which acts as a buffer to maintain the pH balance in blood and other fluids.

Greenhouse Effect

Reradiation of solar heat toward the Earth, caused by an atmosphere that allows the sun’s rays to pass through, but traps the heat in the same manner as the glass of

Hydrological Cycle

The continuous movement of water on, above, and below the surface of the Earth, including processes like evaporation, condensation, and precipitation.

Biogeochemical Cycle

The recycling of inorganic matter between living organisms and their environment, involving processes such as the carbon cycle and nitrogen cycle.