Let 
. Then
and substituting these into the ODE gives
Let 
, so that 
. Then the ODE is linear in 
, with
Multiply both sides by 
, so that the left side can be condensed as the derivative of a product:
Integrating both sides and solving for 
gives
Integrate again to solve for 
:
and finally, solve for 
by multiplying both sides by 
:
already accounts for the term in this solution, so the other independent solution is 
.
35 = 7 * 5
(7n + 3)(5n + 1)
= 35n^2 + 7n + 15n + 3
= 35n^2 + 22n + 3
so answer is
(7n + 3)(5n + 1)
Answer:
7 months.
Step-by-step explanation:
1250-800=450. so more than 450 has to be spent and that comes out to 7 months where you'll spend 455
Answer:
Step-by-step explanation:
1) if the required straight line is 'l', the given point is A(a;b), then the required equation of line can be written in form:
where (x₁;y₁) is other point B, which belongs to the 'l';
2) from the equation it is possible to detect the coordinates of the perpendicular, they are (x₁-a;y₁-b);
3) if the given perpendicular is ax+by=5, then the coordinates of the vector (a;b) are coordinates of the vector, which belongs to the required line 'l', and then: x₁-a=a and y₁-b=b;
4) if to substitute the a=x₁-a and b=y₁-b into the required equation of line 'l', then:
5) finally, the equation is: ay=bx, or y=b/a *x (slope-interception form).
note: the suggested solution is not the only way.
Answer:
Step-by-step explanation:
Mean-The sum of numbers in a set of data divided by the number of pieces of data
Median a measure of center in a set of numerical data. The median of a list of values is the value appearing at the center of a sorted version of the list- or the mean of the two central values, if the list contains an even number of values
Mode-The numbers or items that appear most often in a set of data
Range-The difference between the greatest number and least number in a set of data
From McGrawHill Education Vol 2 Middle school 6th grade course 1
