To check for continuity at the edges of each piece, you need to consider the limit as 
approaches the edges. For example,
has two pieces, 
and 
, both of which are continuous by themselves on the provided intervals. In order for 
to be continuous everywhere, we need to have
By definition of , we have 
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of 
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
Answer:
41
Step-by-step explanation:
x=12
so y=3⋅12 +5
=36+5
=41
Answer:
$715.50 my dudeeee
Step-by-step explanation:
..........
X = 27.5
8x = 220, so 220/8 = 27.5
Answer:
Step-by-step explanation:
Given
Required
The distance between the top and John
The distance is calculated using:
Where
--- the angle between the diagonal line and the vertical line
So, we have:
<em> --- approximated</em>
