Part A:
Given
defined by
but
Since, f(xy) ≠ f(x)f(y)
Therefore, the function is not a homomorphism.
Part B:
Given
defined by
Note that in
, -1 = 1 and f(0) = 0 and f(1) = -1 = 1, so we can also use the formular
and
Therefore, the function is a homomorphism.
Part C:
Given
, defined by
Since, f(x+y) ≠ f(x) + f(y), therefore, the function is not a homomorphism.
Part D:
Given
, defined by
but
Since, h(ab) ≠ h(a)h(b), therefore, the funtion is not a homomorphism.
Part E:
Given
, defined by
, where
denotes the lass of the integer
in
.
Then, for any
, we have
and
Therefore, the function is a homomorphism.
Answer:
h = 12 cm
Step-by-step explanation:
3053.63=πr^2h
Let r=9 and approximate pi as 3.14
3053.63=3.14 ( 9)^2 h
3053.63=3.14*81*h
3053.63=254.34h
Divide each side by254.34
3053.63/254.34=254.34h/254.34
12=h
Answer:
c:5
Step-by-step explanation:
Answer:
C - Has a positive rate of change
Step-by-step explanation: