will be increasing on the intervals where
and decreasing wherever
. Local extrema occur when
and the sign of
changes to either side of that point.
is positive when
is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that
is increasing on the intervals [-4, -2] and (2, 4].
is negative when
is between some number between -2 and -1, up to some number less than 2. So
is decreasing on the interval [-1, 1].
You then have two possible cases for extrema occurring. The sign of
changes for some
between -2 and -1, and again to either side of
.
Answer:
25/14
Step-by-step explanation:
we are given a vector
whose
x-component is -24.5
so, 
y-component is 31.5
so, 
Magnitude:
we can use formula
we can plug values
Direction:
we can use direction formula
now, we can plug values
................Answer
Answer:
is the required factorization of f(x).
Step-by-step explanation:
To factor the expression we must first group the terms and then take out common from these groups
Taking 
common from first group and the 16 from second group we get:
Now, to factor in complex from we have to break term 
As, 
Also using identity 
On solving
is the required factorization of f(x).
