The value of the limit expression is 9, and it means that the function approaches 9, as x approaches 3.
The limit expression is given as:
This means that we determine the value of the function as x approaches 3.
So, we have:
Limit = √(3^2 + 7) + 5
Evaluate the square
Limit = √(9 + 7) + 5
Evaluate the sum
Limit = √16 + 5
Evaluate the square root
Limit = 4 + 5
Evaluate the sum
Limit = 9
Hence, the value of the limit is 9
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Answer:
3.5 K
Explanation:
When a sample of a substance releases heat energy, its temperature decreases according to the equation:
where
Q is the heat energy released
m is the mass of the substance
C is the specific heat capacity
is the initial temperature
is the final temperature
For the block of brass in this problem, we have:
m = 0.1 kg is the mass
Q = -56.4 J is the heat energy released (negative since it is released)
C = 380 J/kg K is the specific heat capacity of brass
is the initial temperature
Solving for , we find the final temperature: