# Find the length of an arc y = sqrt(x+2) from x=1 to x = 7. Any help to answer this?

The arc length is

The arc length is given by:

We have:

So, the arc length is given by:

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To find the length of an arc of the curve y = sqrt(x+2) from x = 1 to x = 7, you would use the arc length formula for a curve given by y = f(x):

Arc Length = ∫ [sqrt(1 + (f'(x))^2)] dx from x = a to x = b

First, find f'(x), then substitute it into the formula and integrate from x = 1 to x = 7.

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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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