Answer:

Step-by-step explanation:

This is a homogeneous linear equation. So, assume a solution will be proportional to:

Now, substitute
into the differential equation:

Using the characteristic equation:

Factor out 

Where:

Therefore the zeros must come from the polynomial:

Solving for
:

These roots give the next solutions:

Where
and
are arbitrary constants. Now, the general solution is the sum of the previous solutions:

Using Euler's identity:


Redefine:

Since these are arbitrary constants

Now, let's find its derivative in order to find
and 

Evaluating
:

Evaluating
:

Finally, the solution is given by:

Step-by-step explanation:
0.05*6=0.3*5000=1500
Dependent events involve a first event that affects the outcome of a second event. This means that the probability for the second event has changed because of the occurrence of the first event. This is usually present in probabilities without replacement because each event has a different condition. The answer is <span>C)red marble out of the same jar,without replacing the first marble.</span>
<u>Explanation</u><u>:</u>
From the given figure ,
AB || CD
PQ is a transversal
Given angles are 50° and 130°
50° and x are linear pair
⇛ 50°+x = 180°
⇛ x = 180°-50°
⇛ x = 130°
Therefore, "x" = 130°
and
130° and y are vertically opposite angles which are equal.
⇛ "y" = 130°
Therefore, y = 130°
<u>Additional</u><u> </u><u>comment</u><u>:</u><u>-</u>
- If two parallel lines Intersected by a transversal then
- Corresponding angles are equal.
- Vertically Opposite angles are equal.
- The sum of two adjacent angles is equal to 180° then they are called Linear Pair.