SOMEONE PLEASE HELP ME ASAP PLEASE!!
2 answers:
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Answer:
Step-by-step explanation:
This is <em>a separable differential equation</em>. Rearranging terms in the equation gives
Integration on both sides gives
where is a constant of integration.
The steps for solving the integral on the right hand side are presented below.
Therefore,
Multiply both sides by
By taking exponents, we obtain
Isolate .
Since when
, we obtain an initial condition
.
We can use it to find the numeric value of the constant .
Substituting for
and
in the equation gives
Therefore, the solution of the given differential equation is
Answer:
B
Step-by-step explanation:
One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .
When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.
Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B
