Find all local maximum and minimum points of ƒ = 2x² − xy + y² − 5x + 6y – 9.

Q: aximum v al [1, 5] is

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Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: Consider the function f(x) = x* – 4x³ + 4x? + 4

A: To investigate whether the optimal points are global or not.

Q: S(x1, x2) = (3x1 + 2x2, x2, x1x2) is not linear. What are the parts of the function that cause the…

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Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

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Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: 1. Find the maximum and minimum points and point of inflection of y = x3 – 3x2 – 9x + 20.

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Q: Find the minimum  of the function f(x) = 2x3 + 3x2 − 12x + 17

A: We have to find the minimum of the function f(x)=2x3+3x2-12x+17.

Q: find the local maximum value of the function xy-x^2-y^2-2x-2y+4

A: The given function

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

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Q: determine the y-intercept of f(x) equals 3X -1 divided by X -1 

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Q: Optimize Z= In(4x2 - 24x + 2y2 - 20y) optimize the function. Find Zx, Zy, Zxx, Zyy, Zxy. Comment…

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Q: Maximise P = – 2x2 – 5y2 + 96x + 80y + 610 Subject to 10x + 20y ≤ 500 x, y ≥ 0

A: See the attached file for a step by step explanation to find the maximization of P.

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: The objective of the question is to find the maximum profit and the number of units that must be…

Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…