Answer:
pretty sure it's 1.35
Step-by-step explanation:
have a wonderful day my friend
4hrs, I think, because 20 divided by 5 is 4.
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:
2 hours 29 minutes
Step-by-step explanation:
The difference in time is ...
(9 hours 17 minutes) - (6 hours 48 minutes)
= (9 - 6) hours (17 -48) minutes
= 3 hours -31 minutes
= 2 hours 29 minutes
_____
There are 60 minutes in an hour, so subtracting 31 minutes from an hour leaves 29 minutes.