Answer: 16n + 7
Step-by-step explanation:
The limit of the expression can be achieved by differentiating the expression.
8n^2+5n+2/3+2n
Collect the likes term and rearrange
8n^2+7n+2/3
Differentiating with respect to n
(2×8)n^2-1 + 7n^(1-1)
16n + 7
2/3 automatically equal to zero since it has no variable n
Therefore, the limit of the expression is 16n + 7
Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).
Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.
For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.
Answer:
Step-by-step explanation:
P = pigs D = ducks
P + D = 17
P = 17 – D
4P + 2D = 50 because pigs have 4 feet
and ducks have 2 feet.
4(17 – D) + 2D = 50
68 – 4D + 2D = 50
.68 – 2D = 50
–2D = –18
D = 9
P = 17 – D
P = 17 – 9
9 = 17 – D
D = 8
It would be 10 hours but the distance would be 260 mph.
Notice that
so that for each power of 2, there is a pattern of period 4. This means that for integers
, each of
,
,
, and
have the same units digit.
We can write
, and since
, it follows that
and
share the same units digits. So the units digit of
is 8.