a boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 13 mi from a…

a boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 13 mi from a restaurant on woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. com parts (a) and (b) below. let x be the distance between the nearest point on shore and the point she lands on shore. if t is the time it takes i objective function? t = (sqrt(x^2 + 4)/2)+(13 - x)/3 (type an expression.) the interval of interest of the objective function is . (simplify your answer. type your answer in interval notation.)
Answer
Explanation:
Step1: Determine the lower - bound of x
The distance (x) between the nearest point on shore and the point she lands on shore can be 0. This is the minimum value of (x) when she rows directly to the point on the shore closest to the restaurant.
Step2: Determine the upper - bound of x
The maximum value of (x) occurs when she rows to the farthest point on the shore from the restaurant along the straight - line shoreline. The distance from the nearest point on the shore to the restaurant is 13 miles, so the maximum value of (x) is 13.
Answer:
([0,13])