What is the slope of the line passing through the points (2, 1) and (4, 31)?
1 answer:
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The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:
Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:
We can calculate the equation of p by using its slope and its point P:
Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:
We can calculate the equation of p by using its slope and its point P:
Answer:
relative minimum
Step-by-step explanation:
From f^''(x) = 12x we can take the integration to find out what f'(x) is:
Furthermore, we can substitute x = 1 for f''(x) to find out whether it's positive or negative
f''(1) = 12*1 = 12 > 0
So if x=1 is a critical point of f'(x) and f''(x=1) > 0 then that point is a relative minimum point