A subject in a psychology experiment who practices a skill for x hours and then rests for y hours achieves a test score of f(x, y) = xy - x² - y² + 7x - 2y + 130 (for 0 ≤ x ≤ 10, 0 ≤ y ≤ 4). Find the numbers of hours of practice and rest that maximize the subject's score. ([ (x, y) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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A subject in a psychology experiment who practices a skill for x hours and then rests for y hours achieves a test score of
f(x, y) = xy - x² - y² + 7x - 2y + 130
(for 0 ≤ x ≤ 10, 0 ≤ y ≤ 4). Find the numbers of hours of practice and rest that maximize the subject's score.
(x, y) =
Transcribed Image Text:A subject in a psychology experiment who practices a skill for x hours and then rests for y hours achieves a test score of f(x, y) = xy - x² - y² + 7x - 2y + 130 (for 0 ≤ x ≤ 10, 0 ≤ y ≤ 4). Find the numbers of hours of practice and rest that maximize the subject's score. (x, y) =
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