Answered: 2. (a) Let f(x, y) = x² sin(x + y),… | bartleby

College Algebra (MindTap Course List)

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 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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2. (a) Let f(x, y) = x² sin(x + y), find and .
(b) Given that f(x, y) = x³ + y³ – 6xy where x = cost and y = sint, find
(i) the value of when t = .
(ii) find the critical point(s) of f(x, y)
(iii) determine the nature of the critical point(s) of ƒ(x, y).

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