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:
<span>common difference for the sequence = 1/16
cause
1/4 = 4/16
and
3/8 = 6/16
so
4/16 + 1/16 = 5/16
5/16 + 1/16 = 6/16
</span>
Victoria's method is linear because the number of minutes increase by an equal number (15) every month.
Workings in the attachments below. The green line is the function that has been set up for Victoria. The lines that form a curved looking graph belong to the function that was set up for Zach.
Given:
October: 8 3/8 inches
September : 60% less rain fell than in October.
This means that only 40% rain fell in September based on the amount of rain that fell in October.
8 3/8 ⇒ (8*8)+3/8 = 67/8
40% is 4/10
67/8 * 4/10 = 268/80 = 3 28/80 or 3 7/20 or 3.35
28 ÷ 2 = 14
80 ÷ 2 = 40
14 ÷ 2 = 7
40 ÷ 2 = 20
In September 3 7/20 inches or 3.35 inches of rain fell.
Answer:
x = (13) ^ 1/3
x is approximately 2.351334688
Step-by-step explanation:
x^3 + 7 = 20
Subtract 7 from each side
x^3 + 7-7 = 20-7
x^3 = 13
Take the cube root of each side
x^3 ^ 1/3 = (13) ^ 1/3
x = (13) ^ 1/3
x is approximately 2.351334688
