Concept explainers
The value of
Answer to Problem 36E
The velocity is constant over interval then area is rectangular already then it gives actual value.
Explanation of Solution
Given information:
The truck moves with the positive velocity v (t) from time t = 3 to time t = 15. The area under the graph of
Correct option is (D).
The area under the graph of function is the total distance travelled between given time interval. Because, when the time interval is being partitioned into many tiny subintervals, each one so small that the velocity it would be essential constant. For MRAM method draw rectangles at midpoint of sub-intervals, height is given by velocity at that point.
Now
Midpoint rectangular approximation method gives close to actual value if velocity is varying; if velocity is constant over interval then area is rectangular already then it gives actual value.
Conclusion:
The velocity is constant over interval then area is rectangular already then it gives actual value.
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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