In order to be differentiable everywhere, 
must first be continuous everywhere, which means the limits from either side as 
must be the same and equal to 
. By definition, 
, and
so we need to have 
.
For to be differentiable at 
, the derivative needs to be continuous at , i.e.
We then need to have
Then
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
Answer:
(1, 4) and (1,3), because they have the same x-value
Step-by-step explanation:
For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.
In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.
Therefore, the relation is not a function anymore if both ordered pairs are included.
<em>The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".</em>
The measure of center best represents the data set is Mean or Median.
Given
Data Set Best Measure of Center {27, 29, 26, 28, 25}.
<h3>What is the mean of the data set? </h3>
The mean is the average of a set of data.
The mean is found by finding the sum of the data and then dividing the sum by the number of data.
<h3 />
The mean of the given data set is;
Arranging the data set in the ascending order
{25, 26, 27, 28, 29}
The median is defined as the middle value of the given data set.
The median of the data set is 27.
Hence, the measure of center best represents the data set is Mean or Median.
To know more about mean and median click the link is given below.
brainly.com/question/1363341
