Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)

In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:

Now we can simplify that:

And we know that:
cos^2(x) + sin^2(x) = 1
then:

Answer:
96
Step-by-step explanation:
Here again are the multiples of 6, 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96,… If we divide any of these multiples by 6, we get a quotient with remainder zero.
It takes Omar 30 seconds to eat one considering he ate 8 in 4 minutes ...
If we really wanted to we could turn this into the fraction 8/4
8 being the amount of carrot sticks he ate and 4 being the time it took
now all u have to do is simplify that turns into 2/1 and since the 1 is one minute and her can eat 2 in one minute we can safely say he eats 1 carrot stick every 30 seconds
:) hope this helps!!
He can fill 6 boxes. 48 / 7 = 6R6.
I interpreted the remainder by removing the remainder to get the answer.
Answer:
$698
Step-by-step explanation:
Given that :
Principal = $5600
Rate = 4.75%
Time = 3 years
Simple interest = principal * rate * time
Simple interest = $5600 * 0.0475 * 3
simple interest = $798