Asked by Madeline
How do I answer these questions. Please show work.
The answers are through the link as a png image. THanks!
h t t p : //goo.gl/NNf9A
The answers are through the link as a png image. THanks!
h t t p : //goo.gl/NNf9A
Answers
Answered by
Steve
a) divide the domain into 4 intervals (of length 10 each)
evaluate f(x) at the midpoint of each interval (5,15,25,35) and multiply by the interval width.
That adds up the area of 4 rectangles to approximate the area under the curve
This area is the distance flown by the plane. (velocity times time in each interval)
b)acceleration=0 means a constant velocity during the interval.
c) just take the derivative to get the acceleration. Evaluate at t=23
d) the average velocity is the distance flown(integral of velocity) divided by time (40)
That should get you on your way.
evaluate f(x) at the midpoint of each interval (5,15,25,35) and multiply by the interval width.
That adds up the area of 4 rectangles to approximate the area under the curve
This area is the distance flown by the plane. (velocity times time in each interval)
b)acceleration=0 means a constant velocity during the interval.
c) just take the derivative to get the acceleration. Evaluate at t=23
d) the average velocity is the distance flown(integral of velocity) divided by time (40)
That should get you on your way.
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