Final answer:
The student's question involves calculating the area between two curves from x=2 to x=5 using integration. The functions given are y=19-x² and y=-2x+16, and the area represents the integral of the difference between the top and bottom functions across the interval.
Step-by-step explanation:
The question revolves around finding the area between two curves over a specified interval. The two functions provided are y=19-x² and y=-2x+16, and we need to find the area between these curves from x=2 to x=5.
To do this, we first need to find the points of intersection between the two curves if they intersect within the given interval.
After that, we calculate the integral of the top function minus the bottom function over the interval from x=2 to x=5.
However, based on the question details related to probability, it seems there might be some confusion.
Still, the calculation for the area remains the same, using integrals and the curve functions provided.
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You can retry this question below Find the area of the region between the graphs of y=19-x² and y=-2 x+16 over the interval 2 ≤ x ≤ 5 The area is