Question 1 Find the global maximum and minimum values of each function and indicate where they occur. (i) f(x,x, ) = 3x, + 4.x, subject to 0

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 54E
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Question 1
Find the global maximum and minimum values of each function and indicate where
they occur.
(i)
f(x,x, ) = 3x, + 4.x, subject to 0<x, <1, -1<x, <1.
f (x, , x2 ) = 3x + 2.x; +5 subject to 0 < x, <10, 2< x, <10.
f(x,,x, ) = x + x subject to -1<x¡ < 3, -1<x, <4.
(iv)
(ii)
(iii)
f (x,,x,) = 2x, + x, – 3x – 4x + x,x, subject to 0<x, <1, 0<x, <1.
Transcribed Image Text:Question 1 Find the global maximum and minimum values of each function and indicate where they occur. (i) f(x,x, ) = 3x, + 4.x, subject to 0<x, <1, -1<x, <1. f (x, , x2 ) = 3x + 2.x; +5 subject to 0 < x, <10, 2< x, <10. f(x,,x, ) = x + x subject to -1<x¡ < 3, -1<x, <4. (iv) (ii) (iii) f (x,,x,) = 2x, + x, – 3x – 4x + x,x, subject to 0<x, <1, 0<x, <1.
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