Answer:
Check below, please
Step-by-step explanation:
Hello!
1) In the Newton Method, we'll stop our approximations till the value gets repeated. Like this

2) Looking at the graph, let's pick -1.2 and 3.2 as our approximations since it is a quadratic function. Passing through theses points -1.2 and 3.2 there are tangent lines that can be traced, which are the starting point to get to the roots.
We can rewrite it as: 

As for

3) Rewriting and calculating its derivative. Remember to do it, in radians.


For the second root, let's try -1.5

For x=-3.9, last root.

5) In this case, let's make a little adjustment on the Newton formula to find critical numbers. Remember their relation with 1st and 2nd derivatives.



For -1.2

For x=0.4

and for x=-0.4

These roots (in bold) are the critical numbers
Answer:
is outside the circle of radius of
centered at
.
Step-by-step explanation:
Let
and
denote the center and the radius of this circle, respectively. Let
be a point in the plane.
Let
denote the Euclidean distance between point
and point
.
In other words, if
is at
while
is at
, then
.
Point
would be inside this circle if
. (In other words, the distance between
and the center of this circle is smaller than the radius of this circle.)
Point
would be on this circle if
. (In other words, the distance between
and the center of this circle is exactly equal to the radius of this circle.)
Point
would be outside this circle if
. (In other words, the distance between
and the center of this circle exceeds the radius of this circle.)
Calculate the actual distance between
and
:
.
On the other hand, notice that the radius of this circle,
, is smaller than
. Therefore, point
would be outside this circle.
Answer:
3.9
Step-by-step explanation:
8 is rounded up because of 7
Answer:
25 m of cable per minute
Step-by-step explanation:
The unit rate is:
125 m of cable
---------------------- = 25 m of cable per minute
5 minutes
Answer:
This is a trial and error problem
we can divide 30 eyes by 2 eyes on each animals to know that there is 15 animals
15 animals now make a random guess
Find out the difference of feet. 1 dog has 4 feet - 2 chicken feet = 2 feet increase or decrease so if we need to increase by 2 we add 1 dog and if we need to subtract to then we add 1 chicken
11 dogs and 4 chickens
that is 44 feet + 8 feet = 52 feet
52 - 44 feet needed = 8 feet
8 / 2 feet decrease = 4 more chickens needed
11 - 4 (subtracting 4 dogs off)= 7
4 + 4 (replacing the dogs with chickens)= 8
7 dogs and 8 chickens
7 x 4 = 28
8 x 2 = 16
28 + 16 = 44
7 dogs and 8 chickens
Hope this helps
Step-by-step explanation: