An object with initial temperature 120° F is submerged in large tank of water whose temperature is
1 answer:
Answer:
Step-by-step explanation:
<u>Newton's law of cooling states </u>
"<em>that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"</em>
Newton's Law of Cooling is given by the formula
Where
F( t ) is the temperature of the object at a given time t
T s is the surrounding temperature
T 0 is the initial temperature of the object
k is the constant
Given k=0.2
Hence the expression is
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Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
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The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.
