Answer:
a) integral = 24.72
b) |Error| ≤ 0.4267
Step-by-step explanation:
a)
The integral:
can be approximated with the midpoint rule, as follows:
6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72
(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)
b)The error bound for the midpoint rule with <em>n</em> points is:
|Error| ≤ K*(b - a)^3/(24*n^2)
where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|
Given that -5 ≤ f''(x) ≤ 1, then K = 5. Replacing into the equation:
|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267
The correct answer for the question that is being presented above is this one: "C. f(n) = 0.15n + 0.35." The equation that represents Marisa’s library fine as a function of a book that is n days overdue is f(n) = 0.15n + 0.35
Here are the following choices:
A. f(n) = 0.15n
<span>B. f(n) = 0.50n
</span><span>C. f(n) = 0.15n + 0.35
</span>D. f(n) = 0.50n + 0.15
Answer:
2344.79686
Step-by-step explanation:
The fifth place to the right of the decimal point is the hundred-thousandth spot. Since the number following is 7, we round up, thus resulting in 2344.79686.
Graph b and d
hope this helps!
Let me try . . .
When two lines intersect, they form four (4) angles, all at the same point.
There are two pairs of angles that DON't share a side, and a bunch of other
ones that do share sides. A pair of angles that DON't share a side are called
a pair of "vertical angles".
A pair of vertical angles are equal, but this problem isn't even asking you about
that; it's just asking you to find a pair of vertical angles.
Since you and I are not sitting together at the same table, I can't point to
the drawing and point out different angles to you. You just have to go
through the choices, and find a choice where both angles are formed from
the same two lines.
The first choice (KRE and ERT) is no good, because KR, RE, and RT
are parts of three different lines.
Check out the other 3 choices, and you're sure to find the only one where
both angles are formed by the same two lines.
