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Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.2: Applications Of Extrema
Problem 1YT: Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.
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"Find the extreme values for the following functions in their respective regions:
a-g(x,y) = e²²+y²,x² + 4y² ≤ 1.
b-h(x, y, z) = x + 2y,x+y +z = 1 and y² + z² = 4, use Lagrange
multipliers."
Transcribed Image Text:"Find the extreme values for the following functions in their respective regions: a-g(x,y) = e²²+y²,x² + 4y² ≤ 1. b-h(x, y, z) = x + 2y,x+y +z = 1 and y² + z² = 4, use Lagrange multipliers."
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