Answer:
x = 3
Step-by-step explanation:
take 60 degree as reference angle and using cos rule
cos 60 = adjacent/hypotenuse
1/2 = x/6
do cross multiplication
2*x = 6*1
x = 6/2
x = 3
Answer:
Step-by-step explanation:
If c = 8, then:
5c^(3)+982 => 5(8)^3 + 982 = 3542
and
2c^(4)−7c = c(2c^3 - 7) => 8(2*512 - 7) = 8(1017) = 8136
So the second expression has the greater value when c = 8.
Answer:

Step-by-step explanation:
By definition, the derivative of
is given by:

Given
,
must also be
. Therefore, we have:

Note that the derivative of a constant is always zero since for
, where
is some constant,
and we obtain
in the numerator, yielding a final answer of zero.