Compare Dy And $\Delta y$ For $y = 3 x ^ { 2 } - 3$

question 3

Multiple Choice

Compare dy and $\Delta y$ for $y = 3 x ^ { 2 } - 3$ at x = 2 with $\Delta x =$ dx = -0.07. Give your answers to four decimal places.

• A) \(d y = - 0.8500 , \quad \Delta y = - 0.8255\)
• B) \(d y = - 0.8400 ; \quad \Delta y = - 0.8253\)
• C) \(d y = - 0.8700 , \quad \Delta y = - 0.8254\)
• D) \(d y = - 0.8200 , \quad \Delta y = - 0.8256\)
• E) \(d y = - 0.8200 , \quad \Delta y = - 0.8254\)

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Definitions:

Population Growth

The increase in the number of individuals in a population, often measured by the rate at which the population is increasing.

Birth Rates

The number of live births per thousand of the population per year.

Emigration Rate

The measure of how many individuals per thousand leave a country or region to reside elsewhere within a specified time frame.

Negative Growth

A decrease in the size or number of something, often used in the context of economies or populations shrinking.