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:

I think it’s A but I’m not to sure
Answer:
11/25 The right answer is not a part of the options given.
Step-by-step explanation:
Given;
Probability that event M will not occur = 0.8
Probability that event R will not occur = 0.6
Then the ;
Probability that event M will occur = 1 - 0.8 = 0.2
Probability that event R will occur = 1 - 0.6 = 0.4
If events M and R cannot both occur, probability that either event M or event R will occur
= probability that M occurs and R does not or the probability that R occurs and M does not
= 0.2 × 0.6 + 0.4 × 0.8
= 0.12 + 0.32
= 0.44
= 11/25
Answer:
The graph of the equation has roots at x= -b/a and x= -d/c
Step-by-step explanation:
Answer: B
Step-by-step explanation: To get the boys part of the ratio you will have to subtract 30 students and 14 students that are girls because all together there are 30 students and since we only know that 14 of them are girls that leaves the rest of the students boys. 30 - 14 = 16 so now we know how many boys there are. 16:14 can be reduced by 2 and that equals to 8:7.
Hope this helps!