Using a midpoint Riemann sum with 3 subintervals of equal length to approximate is 2020 and means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.
From the given question,
An initial height of 0 feet at time t=0 seconds.
The velocity of the rocket is recorded for selected values of over the interval 0 < t < 80 seconds.
(a) Using a midpoint Riemann sum with 3 subintervals of equal length to approximate .
A midpoint Riemann sum with 3 sub intervals so, n=3
∆t= (70-10)/3
∆t = 60/3
∆t = 20
Intervals: (10, 30), (30,50), (50,70)
Midpoint: 20 40 60
Midpoint Riemann Sum
= ∆t[v(20+v(40)+v(60)]
From the table
= 20[22+35+44]
= 20*101
= 2020
(b) Now we have to explain the meaning of v(t)dt in terms of the rocket's flight .
It means the distance in feet, traveled by rocket A from t=0 seconds to t=70 seconds.
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Answer:
Step-by-step explanation:
Just do the distributive property. if you don't know what that is, it is when u multiply the 3 with th b and the 3 with the eight. the answer is 3b+24
The answer is 5.5 because you have to put all of the numbers in numerical order 1 2 3 5 5 6 7 9 9 14 then find the two middle numbers and add them and you get 11. Divide 11 by two and get 5.5.