What is the region enclosed by curves y=x, x =2 and x axis?

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SUMMARY

The region enclosed by the curves y = x, x = 2, and the x-axis is defined by the vertices (0, 0), (2, 0), and (2, 2). The correct boundaries for this region are 0 ≤ x ≤ 2 and 0 ≤ y ≤ x, which indicates that the upper boundary is the line y = x, not y = 2. This distinction is crucial for accurately identifying the area of the region in question.

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Homework Statement



I said it is 0 less than or equal to x less than or equal to 2 and 0 is less than or equal to y which is less than or equal to 2. Is that correct?

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Mathematicsresear said:

Homework Statement



I said it is 0 less than or equal to x less than or equal to 2 and 0 is less than or equal to y which is less than or equal to 2. Is that correct?
No.
Your description is the square with corners (0, 0), (2, 0), (2, 2), and (0, 2). You are not taking into account that the upper boundary is the line y = x, not the line y = 2.
 

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