Another math question
2 answers:
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so we have those critical values, which gives us the intervals of (-∞, 0] , [0, 6] and [6, +∞).
where is it increasing or decreasing? well, that's just a matter of checking a value on each region for the the first derivative, namely the first derivative test.
we can check for f(-1) = 12(-1)² - 72(-1), is a positive value, increasing.
and check f(1) = 12(1)² - 72(1), is a negative value, decreasing.
and check f(7) = 12(7)² - 72(7), positive, so increasing.
check the picture below, and you can see there which are the minima or maxima.
Answer: D.
This is tricky.
Think of the equation as an equation for a line
where in this case.
or
You can see the slope of the graph is which means that for an increase of 1 degree Fahrenheit, the increase is
.
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of Degrees Fahrenheit
Since Statement 2, is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
which is ≠ 1)
An increase of degree Fahrenheit leads to an increase of
not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
I hope this helped x