In submarine location problems, it is often necessary to find a submarine's closest point of approach (CPA) to a sonobuoy| (sound detector) in the water. Suppose that the submarine travels on the parabolic path y =x and that the buoy is located at ¢PA the point 7,- - Complete parts a and b below. 49 a. Show that the value of x that minimizes the distance between the submarine and the buoy is a solution of the equation x= 14x +9 Identify the function whose value should be minimized. Choose the correct answer below. (x – 7)2 + O B. (x- + OC. O D. (x- 7) + Note that the minimum of the distance function will occur at the same value of x as the minimum of the square of the distance function. If the square of the distance function is f(x), find f'(x). f'(x) = %3D

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 15A: Of two gears that mesh, the one that has the greater number of teeth is called the gear, and the one...
icon
Related questions
Question
In submarine location problems, it is often necessary to find a submarine's closest point of approach (CPA) to a sonobuoy
(sound detector) in the water. Suppose that the submarine travels on the parabolic path y = x and that the buoy is located at
CPA
1)
the point 7,-| Complete parts a and b below.
49
a. Show that the value of x that minimizes the distance between the submarine and the buoy is a solution of the equation x=
14x +9
Identify the function whose value should be minimized. Choose the correct answer below.
YA.
(x - 7)2 +
OB.
(x -
: 7,2 -
OC.
O D.
- 7) + |x +
(x-
Note that the minimum of the distance function will occur at the same value of x as the minimum of the square of the distance function. If the square of the distance
function is f(x), find f'(x).
f'(x) =
Transcribed Image Text:In submarine location problems, it is often necessary to find a submarine's closest point of approach (CPA) to a sonobuoy (sound detector) in the water. Suppose that the submarine travels on the parabolic path y = x and that the buoy is located at CPA 1) the point 7,-| Complete parts a and b below. 49 a. Show that the value of x that minimizes the distance between the submarine and the buoy is a solution of the equation x= 14x +9 Identify the function whose value should be minimized. Choose the correct answer below. YA. (x - 7)2 + OB. (x - : 7,2 - OC. O D. - 7) + |x + (x- Note that the minimum of the distance function will occur at the same value of x as the minimum of the square of the distance function. If the square of the distance function is f(x), find f'(x). f'(x) =
Expert Solution
Step 1

Advanced Math homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer