Find maximum and minimum value

Q: Find the global maximum v

A: Given,        f : -1, 3 → ℝ   where     f(x)=x2-2x-82.

Q: iii) State the points of local maximum and local minimum values for f.

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Q: Find where the graph has global maximum, global minimum, local maximum, local minimum.

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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: The absolute minimum of

A: Given,             f(x, y)=x2+y2-4y and     D=x, y | y≥0, x2+y2≤9

Q: locate all relative extremum and saddle point (if any) of

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Q: Find the critical points of the function and examine these points (local maximum, local minimum or…

A: Here, it is given that f(x,y)=-x3+2y3+27x-24y+3

Q: What is the minimum

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Q: For a function of two variables, describe (a) relative minimum, (b) relative maximum, (c) critical…

A: a) Let f be a function with two variables with continuous second order partial derivatives f xx , f…

Q: Among all pairs of numbers whose difference is 10, find a pair whose product is as small as…

A: Let the two numbers are x and yGiven that x-y=10-1Let fx,y=x.yFx,y=fx,y+≺.∅x,ywhere ∅x,y=x-y-10

Q: Explain the difference between an absolute minimum and alocal minimum.

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Q: Among all pairs of numbers whose difference is 16, find a pair whose product is as small as…

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Q: Find the absolute maximum and minimum of

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Q: State Pontyagin's maximum principle

A: Pontryagin's maximum principle is used in optimal control theory to find the best possible control…

Q: What are the local minimums, local maximums, global minimums, and global maximums?

A: Local maximum are the points where derivative be zero and left side increases and right side…

Q: Question attached in PICTURE

A: Consider the give statement: "A function of two variables with at least two points of local minimum…

Q: a b cdr absolute maximum absolute minimum

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Q: Use a graphing utility to approximate (rounded to two decimalplaces) the local maximum value and…

A: Given: fx=x3-2x2-4x+5; -3<x<3 For finding values of local maxima and local minima, we draw…

Q: Identify the marked points as being an absolute maximum or minimum, a relative maximum or minimum,…

A: Function have relative maximum at a point when it have higher value in its neighbourhood. Function…

Q: What are the: Local Maximum Points Local Minimum Points Inflection Points

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Q: Find the x-coordinate of all relative maximum and relative minimum values, if any, of f. Be sure to…

A: Our objective is to solve d.

Q: What are local maximum and minimum values of a function?

A: Define local maxima and minimum value:

Q: Is there an informal way to think about relative maximum and relative minimum?

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Q: relative and absolute extrema

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Q: determine the local extremum point

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Q: Sketch the graph of a function that has two localmaxima, one local minimum, and no absolute minimum

A: To sketch: The graph of a function that has two localmaxima, one local minimum, and no absolute…

Q: Indicate the relative an absolute maximum and minimum values. List them as points on the coordinate…

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Q: The minimum distance is

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Q: find the minimum value of

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Q: A container with an open top to have 10m^3 capacity and be made of thin sheet metal. Calculate the…

A: Let A be the total area of metal used to make the box, and let x and y be the length and width and z…

Q: Where does the minimum or maximum value occur? X =

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Q: bola has a minimum at (-

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Q: Suppose that a rectangle has an area of A. Find the dimensions that minimize the perimeter. Show…

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Q: State the rules used for unconstrained (regular) optimization and for constrained optimization.

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Q: Among all pairs of numbers whose difference is 8, find a pair whose product is as small as possible.…

A: We have to find minimum product where difference of pair of numbers is 8. Let pair of numbers are x…

Q: Determine the minimum value of the function y=x√x.

A: We apply ln on both sides and then find dy/dx

Q: What is the maximum or minimum point for the ST

A: Consider the given function, y=x2-4 First derivative: dydx=ddxx2-4=2x-0=2x Double derivative:…

Q: 8. What is the maximum/minimum value? *

A: 8. To find the maximum/minimum value9.To find  the x-interecepts of fx10. Does fx opens upwards or…

Q: Find the local minimum value of \(f(x.y)=4+x^{15}+y^{15} -{15}xy\).

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Q: Explain the difference between local minimums/maximums and absolute minimums/maximums.

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Q: Find the absolute maximum / minimum

A: Given,            f(x)=x(6-x) over the interval 1, 5

Q: Give an example that: the f has an absolute minimum but not a local minimum.

A: Consider the function: in an interval [-1,2]

Q: 3x2 If (x) = x² + 1

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Q: d the local minimum value

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Q: . In words, explain the difference between an absolute minimum and a global minimum.

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Q: Determine where y = x4 - 8x2 has a local maximum or a local minimum.

A: we havefx=x4−8x2

Q: Question: How are a global maximum and a local maximum different?

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Q: Determine the maximum and minimum values ​

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Q: Find the maximum profit

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