Answer:
It is not a function because the output of 9 repeats.
(1,9) (4,9)
:D
Answer:
-10.27
Step-by-step explanation:
-7.54-1.98=-9.52, and -9.52-0.75=-10.27
Answer:
14
Step-by-step explanation:
<h2><u>Solve for x</u></h2>
<u />
this can be solved by square rooting 196
x = 14
<h3><u>the value for x is 14</u></h3>
Answer:
area of larger circle : 9π = 28.27
area of smaller circle: 4π = 12.57
area of shaded region: 15.71
Step-by-step explanation:
area of a circle = πr^2
I think these are right i dont know tho
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...
They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..
A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:
x-(f(x)/(df/dx))
In a square root problem you wish to know:
x=√n where x is the root and n is the number
x^2=n
x^2-n=0
So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:
x-((x^2-n)/(2x)) which simplifies further to:
(2x^2-x^2+n)/(2x)
(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)
In this case the number, n=95.54, so a decent starting value for x would be 10.
Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.
10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397
The calculator result for my calc is: 9.7744565066299210578124802523381
So you see how accurate the newton method is in just a few iterations. :P
