The area of the first region is 15.33, the area of the second region is 7.33, the area of the third region is 10.33, and the area of the fourth region is 9.17.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a quadratic function given:
y = 0.5x² − 2x + 5
∫ydx = ∫(0.5x² − 2x + 5)dx over the limits -2 to 0
The area of the first region
=∫(0.5x² − 2x + 5)dx over the limits -2 to 0 = 15.33
The area of the second region
∫(0.5x² − 2x + 5)dx over the limits 0 to 2 = 7.33
The area of the third region
∫(0.5x² − 2x + 5)dx over the limits 3 to 5 = 10.33
The area of the fourth region
∫(0.5x² − 2x + 5)dx over the limits 5 to 6 = 9.17
Thus, the area of the first region is 15.33, the area of the second region is 7.33, the area of the third region is 10.33, and the area of the fourth region is 9.17.
Learn more about the function here:
brainly.com/question/5245372
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