For f(x), evaluate the following: a. f(0) b. f(6)
2 answers:
Answer:
a.
b.
Step-by-step explanation:
- To find f(0), we need to plug in 0 into the function
- To find f(6), we need to plug in 6 into the function
This is a piecewise function broken into 3 parts. So we need to look at the part where our domain (x-values such as 0 and 6) falls into:
- 0 falls into the 1st part (
). So plugging in 0 into that part of f(x), which is
, we get:
- 6 falls into the 2nd part (
). So plugging in 6 into that part of f(x), which is
, we get:
8 <em>[since no matter what x value is, f(x) will be 8]</em>
Hence and
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Answer:
The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as
* (morality of solution)
and
are the freezing points of the pure solvent (water, 0°C) and
= freezing point depression constant of water. Therefore,
*(0.859 m)
=====> (0°C) – (3.00°C) =
=====> -3.00°C =
Ignore the negative sign (since is positive) and get
= (3.00°C) / (0.859 m) = 3.492°C/m
The freezing point depression constant of the solvent is 3.5°C kg/mole
3.5 K.kg/mole (temperature differences are the same in Celsius and Kelvin scales).
