Answer:
Step-by-step explanation:
A function satisfying the equation is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form
with
even. Observe that if
is twice differentiable we can derivate using the chaing rule as follows:
implies
Applying the chain rule again we have:
implies
So we have that function is also an even function.
Answer:
<u>Step-by-step explanation:</u>
greater than 3 means the sum is either 4, 5, or 6.
There are 15 permutations that meet the criteria:
(1, 3), (1, 4), (1, 5), (1,6)
(2, 2), (2, 3), (2, 4), (2, 5), (2,6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)
There are 6²= 36 total permutations for 2 dice.