Answer:
Interpolation gives more accurate data or points compared to extrapolation.
Interpolation can be a little easier than extrapolation.
Interpolation does not require one to extend the already existing data points, where extrapolation requires elaboration of the pattern, curve, or line.
Extrapolation:
This is a statistical method used to predict unknown values for points outside the range of the recorded data. It is used to extend a known sequence of values beyond the sampled area
Extrapolation: with Extrapolation, we can be less confident with the unknown values derived using this method. The method includes values from outside the sampled area, which makes the predictions diverge away from the true values. In curve fitting, this method is not preferred.
Extrapolation:
the ability to retrieve negative answers is one characteristic that makes it unique for interpolation. This statistical method allows one to extend the values in the range either forward or backward. This technique of extending values is responsible for attaining the negative values.
Explanation:
We want to know what is the power supplied by the power cell if the current I=0.5 A and the voltage V=0.43 V. The equation for power P is P= I*V, so:
P=I*V=0.5*0.43=0.215 W
So the correct answer is that the power cell is supplying the motor with P=0.215 W of power.
Answer:
Using the new cylinder the heat rate between the reservoirs would be 50 W
Explanation:
- Conduction could be described by the Law of Fourierin the form:
where 
is the rate of heat transferred by conduction, 
is the thermal conductivity of the material, 
and 
are the temperatures of each heat deposit, 
is the cross area to the flow of heat, and 
is the distance that the flow of heat has to go. - For the original cylinder the Fourier's law would be:
, and if 
, then the expression would be:
where 
is the diameter of the original cylinder, and 
is the length of the original cylinder. - For the new cylinder, in the same fashion that for the first, Fourier's Law would be:
,where 
is the heat rate in the second case, 
and 
are the new diameter and length. - But,
and 
, substituting in the expression for : 
. - Rearranging:
. - In the last declaration of , it could be noted that the expressión inside the parenthesis is actually
, then: 
. - <u>It should be noted, that the temperatures in the hot and cold reservoirs never change.</u>
