# How do you find the area between #f(y)=y^2, g(y)=y+2#?

The intercept points between the two curves can be found from:

So

In the interval between the roots we have:

so the are between the curves is calculated as:

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To find the area between the curves (f(y) = y^2) and (g(y) = y + 2), you need to determine the points of intersection of the two curves. Then, integrate the absolute difference between the two functions over the interval where they intersect. The points of intersection can be found by setting (f(y) = g(y)) and solving for (y). Once you have the points of intersection, integrate the absolute difference between the two functions with respect to (y) over the interval from the smaller y-value to the larger y-value. The integral will give you the area between the curves.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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