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
Answer:
i believe luis... sorry if i'm wrong!!
Step-by-step explanation:
luis has the most and there isnt 11 in 10, so i'm guessing it would be 6/7..luis
Answer:
Step-by-step explanation:
Flip the equation 1) 8a + 2b = 2x
Subtract 2b from both sides 2)8a + 2b(-2b) =<em> 2x + (-2b)</em>
Divide by 8 on both sides 3) 8a/8 =<em> -2b - 2x/8</em>
4) a = 1/-4b + 1/4x
Answer:
I'm assuming it would be 3 hours
Step-by-step explanation:
It would be 3 hours because after three hours, the candle that can only burn for 3 hours will have burned out. This leaves the candles that can burn for 4 and 5 hours. I guess if you want to get really specific you could say 3 hours and 59 minutes but I'm not totally sure how your teacher wants the answer
Using a system of equations, it is found that:
- There are 8 chickens in the yard.
- There are 16 pigs in the yard.
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This question is solved using a system of equations. I am going to say that:
- x is the number of chickens.
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- A chicken has 1 head, as do a pig.
- There are 24 heads.
Thus:
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- A chicken has 2 feet.
- A pig has 4 feet.
- In total, there are 80 feet.
Thus:
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Number of chicken:
Since 
There are 8 chickens in the yard.
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Number of pigs:
There are 16 pigs in the yard.
A similar problem is given at brainly.com/question/24104709
