Answer:
Step-by-step explanation:
The figure has been attached, to complement the question.
Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:
Solving (a): DG
If , then
Make DG the subject
Substitute 52 for DE
Solving (b): GE
If , then
Solving (c): DF
So:
Solving (d): CH
Solving (e): CE
If , then
Answer:
D 3.5
Step-by-step explanation:
Replace values in the equation with values given. Calculate.
The Bernoulli equation is almost identical to the standard linear ODE.
Compare to the basic linear ODE,
Meanwhile, the Riccati equation takes the form
which in special cases is of Bernoulli type if
, and linear if
. But in general each type takes a different method to solve. From now on, I'll abbreviate the coefficient functions as
for brevity.
For Bernoulli equations, the standard approach is to write
and substitute
. This makes
, so the ODE is rewritten as
and the equation is now linear in
.
The Riccati equation, on the other hand, requires a different substitution. Set
, so that
. Then you have
Next, setting
, so that
, allows you to write this as a linear second-order equation. You have
where
and
.
I believe your answer is B, though I am not positive. I am doing the same question right now, so if it is correct I will let you know!
Hope this helps!
8.66666666667 is the answer (ten sixes)
