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 = x² and that the buoy is located at . Complete parts a and b below. the point 6, - CPA 6, 116

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
9
a. Show that the value of x that minimizes the distance between the submarine and the buoy is a solution of the equation x =
3x²+2
Identify the function whose value should be minimized. Choose the correct answer below.
O A.
O C.
2
[(x - ²)² + (²+0) ²
6
(x²+ ]
6
(x-6) +
B.
O D.
2
-61² + (x² + 1 ) ²
6
(x-6)²
(x-6)² -
2-(x²+.
) ²³
Transcribed Image Text:9 a. Show that the value of x that minimizes the distance between the submarine and the buoy is a solution of the equation x = 3x²+2 Identify the function whose value should be minimized. Choose the correct answer below. O A. O C. 2 [(x - ²)² + (²+0) ² 6 (x²+ ] 6 (x-6) + B. O D. 2 -61² + (x² + 1 ) ² 6 (x-6)² (x-6)² - 2-(x²+. ) ²³
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 = x² and that the buoy is located at
1
the point 6,
Complete parts a and b below.
6
CPA
6.
6
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 = x² and that the buoy is located at 1 the point 6, Complete parts a and b below. 6 CPA 6. 6 X
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