Answer:
The maximum variance is 250.
Step-by-step explanation:
Consider the provided function.
Differentiate the above function as shown:
The double derivative of the provided function is:
To find maximum variance set first derivative equal to 0.
The double derivative of the function at is less than 0.
Therefore, is a point of maximum.
Thus the maximum variance is:
Hence, the maximum variance is 250.
Part A: The equation of the ship's path is
Part B: The two ships sails perpendicular to each other.
Explanation:
Part A: It is given that and point (2, 5)
Substituting these in the slope intercept form, we have,
Thus, the equation of the ship's path in slope intercept form is
Part B: The equation of the second ship is
Let us bring the equation in the form of slope intercept form.
Thus, from the above equation the slope is
To determine the two ships sailing perpendicular to each other, we have
where and
Since, both sides of the equation are equal, these two ships sails perpendicular to each other.