The three principles that describe how the economy as a whole works are: (1) a country's standard of living depends on its ability to produce goods and services; (2) prices rise when the government prints too much money; and (3) society faces a short-run tradeoff between inflation and unemployment.
Answer: C) extremely rapid cooling
Explanation:
When magma goes through extremely rapid cooling and especially if it did not dissolve enough water into it, it could freeze to glass or the mineral crystals that will be formed will be so small, they will look like glass.
This is because the reactions that occur to create minerals are affected directly by temperature such that if the magma cools down extremely slowly, it will form very large crystals but extremely fast would result in small crystals.
(a)
We have been given an equation 
. Upon taking derivative of this equation with respect to x on both the sides, we get:
(b)
In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:
Therefore, equation of tangent line is:
(c)
We know that slope of tangent is given as 
. The tangent will be vertical when denominator of slope is zero, that is:
