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Ivan
2 years ago
12

I NEED HELP

Mathematics
1 answer:
Naddik [55]2 years ago
7 0
The answer could be B not sure hold up don’t pick yet
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Use the Midpoint Rule and the given data to estimate the value of the integral I. (Give the answer to two decimal places.)
svlad2 [7]

Answer:

a) integral = 24.72

b) |Error| ≤ 0.4267

Step-by-step explanation:

a)

The integral:

\int_{0}^{3.2} f(x) dx

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

5 0
2 years ago
Chris can make 8 shoes per hour on a good day. If a customer needs 24 shoes, how long will it take him to make the shoes?
Lunna [17]

Answer:

3 or more days depending on how his day is going

Step-by-step explanation:

:)

8 0
2 years ago
Plssssssssssssssssssssssssssssssssssssssssssssss
eduard

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

3 0
2 years ago
Create a cubic function that is not the parent function.
salantis [7]

Answer:

Below.

Step-by-step explanation:

One is (x - 3)^3.

The graph of the parent function x^3 rises from the lower left quadrant and there is a point of inflection through (0, 0),  then it rises to the right in the first quadrant.

The graph of  (x - 3)^3 is the translation of the graph of x^3,  3 units to the right. It will pass through the x-axis at (3, 0).

5 0
2 years ago
Find dy, dx if f(x) = (x + 8)3x. 3xln(x + 8) the product of the quantity 3 times the natural log of the quantity x plus 8 plus 3
boyakko [2]
F(x) = 9x^2(x + 8)^2
8 0
3 years ago
Read 2 more answers
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