WHAT the heck is this is this free points?
But if you want the exponential equation the answer is y = 0.5(0.4) there is a x on top of the )
A yard is not a metric unit of length.
Complementary angles add up to 90 degrees. Congruent angles are equal to one another (have the same degrees) Supplementary angles add up to 180 degrees.
124 + 56 = 180
The angles are supplementary
Answer:
The answer is 7
Step-by-step explanation:
We know than Tan45=1
Tanx=opp/adj
tan45=y/(7
)/2
Thus y=7
/2
We know by pythagoras theorem that hyp^2=side^2+side^2
=(
+
=(49(2)/4)+(49(2)/4)
=(49/2)+(49/2)
=(98/2)
=49
x=7
a. Note that
is continuous for all
. If
attains a maximum at
, then
. Compute the derivative of
.

Evaluate this at
and solve for
.




To ensure that a maximum is reached for this value of
, we need to check the sign of the second derivative at this critical point.

The second derivative at
is negative, which indicate the function is concave downward, which in turn means that
is indeed a (local) maximum.
b. When
, we have derivatives

Inflection points can occur where the second derivative vanishes.




Then we have three possible inflection points when
,
, or
.
To decide which are actually inflection points, check the sign of
in each of the intervals
,
,
, and
. It's enough to check the sign of any test value of
from each interval.




The sign of
changes to either side of
and
, but not
. This means only
and
are inflection points.