Answer:
a) 
b) 
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is
, where
is the rate of salt entering and
is the rate of salt going outside.
Then we have,
, and

So we obtain.
, then
, and using the integrating factor
, therefore
, we get
, after integrating both sides
, therefore
, to find
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions
, so 

Finally we can write an expression for the amount of salt in the tank at any time t, it is 
b) The tank will overflow due Rin>Rout, at a rate of
, due we have 500 L to overflow
, so we can evualuate the expression of a)
, is the salt concentration when the tank overflows
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The value of x is 
Step-by-step explanation:
From the question we are told that
The length of the vertical length is 
The length of the base leg is L = 330 + d units
The length of the bisecting line segment is h
The base angle is 
The angle between d and line segment is 
For the first angle

=> 
For the whole big triangle

=> 
So equating the both d

Substitute values




Answer:
186.73 x (-0.0175) = −3.267775
Answer:
Y = 4
Step-by-step explanation:
12 - 8 = 4 and if you put another triangle it will look like a complete square, so you will need to subtract it Hope it Helps