Let y = v2x. Determine the point (x, y) that is closest to the point (4, 0). That is, deteremine the point (x, y) that minimizes the distance d. y = v2x (x, y) d (4,0) (a) Write the distance between (x, y) and (4, 0) as a function of x and y. d = (b) Write the distance between (x, y) and (4, 0) as a function of x. d = (c) Determine the derivative of d. d' = (d) Optimal solutions come from solving d' = 0. Solve d' = 0 to determine the value of c and y that minimizes the distance. (x, y) =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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Let y = v2x. Determine the point (x, y) that is closest to the point (4, 0). That is, deteremine the point
(x, y) that minimizes the distance d.
y = v2x
(x, y)
d
(4,0)
(a) Write the distance between (x, y) and (4, 0) as a function of x and y.
d =
(b) Write the distance between (x, y) and (4, 0) as a function of x.
d =
(c) Determine the derivative of d.
d' =
(d) Optimal solutions come from solving d' = 0. Solve d' = 0 to determine the value of x and y that
minimizes the distance.
(x, y)
=
Transcribed Image Text:Let y = v2x. Determine the point (x, y) that is closest to the point (4, 0). That is, deteremine the point (x, y) that minimizes the distance d. y = v2x (x, y) d (4,0) (a) Write the distance between (x, y) and (4, 0) as a function of x and y. d = (b) Write the distance between (x, y) and (4, 0) as a function of x. d = (c) Determine the derivative of d. d' = (d) Optimal solutions come from solving d' = 0. Solve d' = 0 to determine the value of x and y that minimizes the distance. (x, y) =
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