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:
Answer is given below.
Step-by-step explanation:
Machine Breakdown Probability Cumulative-Distribution-Rang Rang
Per week
0 0.10 0.10 0-9
1 0.10 0.20 10-19
2 0.20 0.40 20-39
3 0.25 0.55 40-64
4 0.30 0.95 65-94
5 0.5 1.0 95-99
Answer:
The correct option is C. 9
Step-by-step explanation:
From the graphs shown in the attached file we can see that the maximum number of shoes bought were of size 9. On both days the number of size 9 shoes bought was 5 which was the highest number of shoes bought for any size shoe. Therefore since size 9 sell the most on both days the owner should stock most of size 9 shoes in the store's inventory.
The statement is true.
Answer: Option 1.
<u>Explanation:</u>
An horizontal beam is constantly flat and has a consistent cross-segment. Notwithstanding normal shaft parameters, bar has the accompanying properties: Direction. A flat shaft might be situated either along the worldwide X-hub or worldwide Y-pivot.
A horizontal beam is used to hold a building up right and to give the support to the building. But the length of the horizontal beam differs in an inverse way between the supports.
Answer:
Step-by-step explanation:
Given equation is representing the graph of parabola which opens down and its pick is its vertex
<u>The vertex is calculated by vertex formula:</u>
- x = -b/2a for the equation y = ax² + bx + c
<u>In our case t is the vertex and its value is:</u>
- t = -42/(-1.5*2) = 42/3 = 14 seconds
