The amount of salt in the tank changes with rate according to


which is a linear ODE in
. Multiplying both sides by
gives

so that the left side condenses into the derivative of a product,

Integrate both sides and solve for
to get


Given that
, we find

and we get the particular solution


Answer:
2x^2 + 8xy - 2y^2
Step-by-step explanation:
2X(X+y) + 2y(3X-y)
2x^2 + 2xy + 6yx - 2y^2
2x^2 + 8xy - 2y^2
Answer:
15 yd^2
Step-by-step explanation:
a= 1/2bh
a= 1/2(3)10
a= 1/2(30)
a= 15
If you would like to find the number which belongs in the blank to complete the square, you can calculate this using the following steps:
f(x) = 5(x^2 - 4x + a) + 15
a ... the number = ?
<span>x^2 - 4x + a = (x - 2)^2 = x^2 - 4x + 4
</span>a = 4
The correct result would be 4.