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
.
![\int^{70}_{10}v(t)dt](https://tex.z-dn.net/?f=%5Cint%5E%7B70%7D_%7B10%7Dv%28t%29dt)
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.
To learn more about a midpoint Riemann sum link is here
brainly.com/question/28174119
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Answer:
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painting media: Material made of three components; pigment,vehicle, and binder
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Step-by-step explanation:
Answer:
cant see to blury
Step-by-step explanation:
sorry
Answer:
it will take her 12 days
Step-by-step explanation:
you do this problem by subtracting the 180 form 720 thne dividing by how much she will be adding every day
Analyze perfect cubes:
1^3 = 1
2^3 = 8
3^3 = 27
Since 12 is between 8 and 27, cube root of 12 is between 2 and 3.
You also know it is much closer to 2, since 12 is much closer to 8.
A good guess would be 2.25
(2.25)^3 = 11.39
This is close but slightly less than 12.
When you use your calculator you should get 2.2894.