A runner increases her speed from 3.1 m/s to 3.5 m/s during the last 15 seconds of her run, what was her acceleration during her
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Answer:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Step-by-step explanation:
This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:
Given that resulting expression is a second order polynomial of the form , there are two real and distinct solutions. Roots of the expression are:
and
.
Now, it is also required to determine which part of the interval is equal to a number greater than zero (positive). That is:
and
.
Therefore, exists two sub-intervals: and
. Besides,
in each sub-interval. The definite integral of the region between the two curves over the x-axis is:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
