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:
what is the step by step of 1/ cos x csc^2 x = sin x/ cot x
Step-by-step explanation:
1
.
csc
x
=
1
sin
x
2
.
cot
x
=
cos
x
sin
x
Given,
1
−
cos
x
sin
x
=
csc
x
−
cot
x
Simplify the right side.
csc
x
−
cot
x
=
1
sin
x
−
cos
x
sin
x
=
1
−
cos
x
sin
x
∴
, LS
=
RS.
<em>Greetings from Brasil... </em>
A 1st degree function can be written in two ways:
F(X) = AX + B
or
Y = AX + B
note that F(X) = Y
So, looking at the alternatives in the question, only Y = 7X/3 - 8 is equivalent to Y = AX + B, where:
A = 7/3
B = - 8
then
<em>a function of the 1st degree</em>
answer:
<h2>Y = (7/3)X - 8</h2>
Answer:
1 'standard' drink usually refers to 5 ounces of wine (with 12% alcohol)
So 37 ounces will be 37/5 = 9 and 1/4 drinks
Answer:
13 quarters ($3.25) and 12 dimes ($1.2) is 25 together ($4.45). Thats the closest I got without going over 25 dimes and quarters. Sorry
