A city has two water towers. One tower holds 7.35 x 10 with an exponent of 5, gallons of water and the other tower holds 9.78x 1
2 answers:
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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
Answer:
Option D. 1
Option E. 1/2
Step-by-step explanation:
we know that
Looking at the graph
The domain is the interval ----> [-1,1]
The domain is all real numbers greater than or equal to -1 and less than or equal to 1
The range is the interval ----> [0,1]
The range is all real numbers greater than or equal to 0 and less than or equal to 1
therefore
The values that are in the range are
1 and 1/2
Answer:
feet
Step-by-step explanation:
The depth of the fish to the surface of water at 1:00 pm = 2 feet
= feet
The depth of the fish to its initial position at 4:00 pm = 3 feet
= feet
The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm
= +
=
=
The position of the fish with respect to the water's surface at 4:00 pm is feet.