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Find the maximum of f (x, y) = 7y + 4xy – 7x on the square domain 0 < x < 7,0 < y < 7. (Give an exact answer. Use symbolic notation and fractions where needed.) 196 fmax Incorrect

Find the maximum of f (x, y) = 7y + 4xy – 7x on the square domain 0 < x < 7,0 < y < 7. (Give an exact answer. Use symbolic notation and fractions where needed.) 196 fmax Incorrect

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** Find the maximum of \( f(x, y) = 7y^2 + 4xy - 7x^2 \) on the square domain \( 0 \leq x \leq 7, \ 0 \leq y \leq 7 \). (Give an exact answer. Use symbolic notation and fractions where needed.) --- **Input Field:** \( f_{\text{max}} = \) *Entered value:* 196 *Feedback:* Incorrect --- **Explanation:** The problem requires finding the maximum value of the function \( f(x, y) = 7y^2 + 4xy - 7x^2 \) within the given domain. The entered answer was 196, which was marked as incorrect. More analysis is needed to obtain the correct answer, possibly by using calculus or checking boundary conditions and critical points.
Transcribed Image Text:**Problem Statement:** Find the maximum of \( f(x, y) = 7y^2 + 4xy - 7x^2 \) on the square domain \( 0 \leq x \leq 7, \ 0 \leq y \leq 7 \). (Give an exact answer. Use symbolic notation and fractions where needed.) --- **Input Field:** \( f_{\text{max}} = \) *Entered value:* 196 *Feedback:* Incorrect --- **Explanation:** The problem requires finding the maximum value of the function \( f(x, y) = 7y^2 + 4xy - 7x^2 \) within the given domain. The entered answer was 196, which was marked as incorrect. More analysis is needed to obtain the correct answer, possibly by using calculus or checking boundary conditions and critical points.
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