Answer:
The absolute value inequality to represent the situation is presented as follows;
Step-by-step explanation:
The given information are;
The number of words Annika needs to write = 400 words
The absolute deviation of the number of words Annika needs to write = 10 words
When we let the number of words Annika write = w, we have;
The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;
Therefore we have;
gives the statement, -10 < w - 400 < 10.
Answer:
Step-by-step explanation:
The equation is a<em> </em><em>linear differential equation: y⁽⁴⁾- y = 0 </em>
We assume the form of the solution y(t) is
where are the roots of the auxiliary equation.
So, use the auxiliary equation: to find the roots; the values are : α₁ = 1, α₂ = -1, α₃ = i, α₄ = -i
Then inserting values in the assumed solution
⇒ <em></em>
Also, because the last 2 terms have complex power, the solution can be written with cosine and sine terms:
<em>Using the Euler's formula: , we can rewrite the solution as:</em>
=
<em>Where: </em>
<em>Finally the solution for de linear differential equation y^(4) - y =0 is:</em>
<em> </em>
Answer:
first figure:
X=17
Step-by-step explanation:
the statement give us:
AB=62
And we can see:
AB=AC+BC equation 1
AC=3X-4 equation 2
BC= X-2 equqation 3
using equation 2 and 3 In equation 1 we have:
62=3X-4 +x-2
62=4x-6
so we have:
62+6=4x
68=4x
x=68/4
x=17