Answer:
224
Step-by-step explanation:
We will need the following rules for derivative:
Sum rule.
Constant multiple rule.
Power rule.
Slope of y=x is 1.
by sum rule.
by constant multiple rule.
by power rule.
Now we need to find the derivative function evaluated at x=9.
In case you wanted to use the formal definition of derivative:
Or the formal definition evaluated at x=a:
Let's use that a=9.
We need to find f(9+h) and f(9):
(used foil or the formula (x+a)(x+a)=x^2+2ax+a^2)
Combine like terms:
Ok now back to our definition:
Simplify by doing 1044-1044:
Each term has a factor of h so divide top and bottom by h:
f(x) = ((x^2) / 3) + x, for f(6)
f(6) = ((6^2) / 3) + 6
Square 6
f(6) = (36 / 3) + 6
Divide 36 by 3
f(6) = 12 + 6
Combine like terms
f(6) = 18
The answer I got was 360*10=6300
<span>To calculate for the radius, we divide the given diameter by 2. That would be 4.75 inches/2. This operation would give us the answer of 2.375 inches. The circumference is calculated by the formula, C = 2πr: C = 2(π)(2.375 inches) = 14.92 inches</span>
An irrational number is a number that can't be written as a rational number
to undestnad that, I will define what a rational number is
a rational number is a number that can be written in the form a/b where b≠0
repeating decimals are not irrational because the repeat can be made into a fraction, example: 0.1111111111=1/9
some common irrational numbers are pi or e or √2
a cheat way to make an irrational number between 7.6 and 7.7 would be this
I will make in terms of pi because the expanded form will be infinite since pi has infinite digits
find the bounds
I will do pi times c=that number
find teh bounds of c
7.6/pi≈2.419
7.9/pi≈2.514
so a number between 2.419 and 2.514 is 2.5, a nice number
so we can say that 2.5π is an irrational number between 7.6 and 7.9 (it evaluates to about 7.8539816339744830961566084581988....
