The maximum distance visible on Earth is calculated using the formula
= your initial height and
= your secondary height
In this case,
represents the height of the periscope and
denotes the height of the ship, leading us to a distance of 832.45553203368 feet. However, rounding to the nearest mile yields the answer as 
If there are any discrepancies, please inform me and I will recalculate!
<span>The graph will shift 5 units to the right and 1 unit upwards, forming a parabola that opens up with its vertex positioned at (5, 1).
Explanation:
The subtraction of 5 from x prior to squaring indicates a horizontal movement of 5 units to the right.
The addition of 1 signifies a vertical shift of 1 unit up.
This transformation follows the vertex form of a parabola, y=a(x-h)^2 + k, where (h, k) represents the vertex. In this case, h is 5 and k is 1, placing the vertex at (5, 1).</span>
Let's apply u-substitution:

In the substitution process:dx=u du. then the integral transforms to:

=u-ln(u+1)=

. Next, we will adjust the limits:

=4-ln(5)-2+ln(3)=
2+ln(0.6)=2-0.51=1.49