(b) Solve for the optimum to the following problem using the Karush-Kuhn Tucker conditions: Optimise f(x, x2) = x1x2 x1 + x3 < 2 s.t. X1,X2 2 0

Q: Find maximum and minimum values of the function 2х + 1 2 3

A: fx=13x3-12x2-2x+13 Differentiating wrt x, we get f'x=x2-x-2                                   (1)…

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

A:

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

A:

Q: It's urgent solve in 15 min. : Consider the following production function where Y denotes output…

A:

Q: The functions f(x) = 1 and g(x) = 5x are orthogonal on the interval [-1, 1]. %3D %3D

A:

Q: 3. (b) Consider the function f(x, y) = a(x² + y²) + xy + 1 for some real number a. Find Vf. Find fxx…

A:

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y3 – 3 x? + 6xy

A:

Q: Find a linear approximation y = f(x) = x5 − 4x² + 4x³ − 12x² + 21x − 6 to the following function at…

A:

Q: Find values of m and b such that: f(x)=x2+1          if x=1 is differentiable.

A:

Q: 2. Consider the function of two variables f(r, y) defined by parts as ² + y? f(r, y) = { 2/r² + y² +…

A: We have given f(x,y)=x2+y22x2+y2+9-6   if (x,y)≠03                                   if…

Q: 1. f (x, y) = x² + y?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let f(x)=x² + 5x + 1 and (t) = n(t) + et. Use your calculator to evaluate the following valuesounded…

A:

Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that…

A:

Q: Determine the coercivity of the following functions and explain the reason: (a) f(x1,x2) = ỉ + x3 –…

A: According to the given information, it is required to determine the coercivity if the following…

Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

A:

Q: Find the range of the following functions: а) f(x) — 6х -х2 — 5; 2х-1, b) f(x) = 2x-1; c) f(x) = V16…

A: