Answer:
-4
Step-by-step explanation:
So we are given the expression: | y - x | + y - 1, and we have our values for (x,y): (-3,-6).
So, we can just start plugging things in and simplifying, so:
| -6 + 3 | - 6 - 1 = | -3 | -7
= 3 - 7
= -4
I=prt
When I want to find the rate
r=I/pt so
R=(270/6000*2)*100==2.25%
Answer: Choice A, -1540 feet
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Explanation:
Multiply the rate (44 ft per sec) by the number of seconds (35) to get 44*35 = 1540
The answer will be negative to indicate that the altitude has gone down. If you put in a positive change, then the altitude would go up. So that's why the answer is choice A
Note: when you multiply 44 ft/sec by 35 sec, the "second" units cancel out leaving just feet.
Another note: if you want, think of the 44 as -44 to indicate that the plane is decreasing at a rate of 44 ft/sec
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

.