GIVING BRAINLIEST TO WHOEVER GETS THE ANSWERRRR Factor. f(x) = 2x2 - 7x - 4
2 answers:
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Answer:
(6,-1)
Explanation:
The slope of the line can be calculated using the following formula:
slope =
We are given that:
slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):
slope =
= -0.75 ........> accepted choice
For point (2,8):
slope =
= 0.75 ........> rejected choice
For point (-5,1):
slope =
= 4/3 ........> rejected choice
For point (1,1):
slope =
= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
(6,-1)
Explanation:
The slope of the line can be calculated using the following formula:
slope =
We are given that:
slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):
slope =
For point (2,8):
slope =
For point (-5,1):
slope =
For point (1,1):
slope =
Therefore, the first option is the only correct one.
Hope this helps :)
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
__
At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
_____
I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
