a. Determine if the function is concave, convex or neither. f (x1, x2) = (x1 – x2)². (25 – 20x1 – 16x1x2 + 12x,²) where -1 < x; S 1 where i = 1, 2. b. Consider the function defined in the interval –1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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a. Determine if the function is concave, convex or neither.
f (x1, x2) = (x1 – x2)². (25 – 20x1 – 16x1x2 + 12x,²)
where -1 < x;< 1 where i = 1, 2.
b. Consider the function defined in the interval –1< x <1.
f(x) = x² + sin(2nx)
Find the minimum value of f(x) in the given interval by analyzing the
extremum points (Do
Transcribed Image Text:a. Determine if the function is concave, convex or neither. f (x1, x2) = (x1 – x2)². (25 – 20x1 – 16x1x2 + 12x,²) where -1 < x;< 1 where i = 1, 2. b. Consider the function defined in the interval –1< x <1. f(x) = x² + sin(2nx) Find the minimum value of f(x) in the given interval by analyzing the extremum points (Do
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