- Discuss the maximum and minimum of x + y +6x+12. .2

Q: Find the maximum and minimum points of the following: 1 1. y = vx- 2. у %3D х3 — Зх2 -

A: Given; 1) y=√x-1/√x 2)y=x3-3x2.

Q: Find the local minimum and maximum of y= x2/ 3 + x2

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Q: What can you say about the inflection points of a quadratic curve y = ax2 + bx + c, a ≠ 0? Give…

A: To find point of inflection we have to find the second derivative.

Q: 3. The region between the graphs of y = x3 + 4x - 1 and y = 2x3 + 3x? - 1

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Q: Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0

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Q: 1. Find the maximum value of x + y subject to the constraint x? + y² = 18

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Q: In Problem,describe the set of points defined by the equation(s). z=2

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Q: . The Minimum point of y = x3 3x+6

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Q: Find the points of intersection of the graphs of 2x 3y = -2 and 4.x – y = 6. %3D

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Q: Solve using artificial variables. Maximize z = 3x, + 2x2 subject to: X, + X, = 60 4x1 +2x, 2 140 5x,…

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Q: 5.Find the maximum of Q=xy if x+y=42. The maximum value of Q is Q=?

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Q: 3. x20 y 7-x Ax, y) = 3x +y Minimum: Maximum:

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Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: h(z) = x² - 16z + 60? What is the minimum value of

A: First method: Given: hx=x2-16x+60 Add and subtract 64 from h(x) to complete the square. Therefore,…

Q: Q2) Solve the following LP problem by graph: Maximize P = -x + 5y (x-2y ≥0 y ≤100 Subject to: x + y…

A: Given : Maximize: P = -x + 5y Subject to, x - 2y ≥ 0 y ≤ 100 x + y ≥ 210 x ≥ 0, y ≥ 0 Now, Graph :

Q: the graph of y = 1/2 + (x2 - 2x + 1)/(x2 - 2x + 2) for 0 … x … 2. Find the coordinates of the…

A: Equating first derivative of a function to zero will give us the critical points of the function i.e…

Q: 6. Which of these quadratic functions has a maximum value? * y = 3x2 – 3x+5 y= (3-x)2 Option 1…

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Q: 6) Discuss the concavity of the graph of ƒ (x) = x* – 2æ³ + 1 and find its points of inflection.

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Q: a. What is the points for a, b and c to this LP problem? b. What is the maximum profit? Show all…

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Q: Solve the optimization problem. Minimize F = 20x² + 20y² with xy2 = 16. %3D F =

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Q: 1. Find the maximum and minimum points of the given equation: a. y = x3 - 3x b. у%3D (x - 6)?(9— х)

A: Given: a.y=x3-3x

Q: x? — х — 12 maximum point of y = x +5

A: Given,y=x2-x-12x+5

Q: a. What is the maximum or minimum point for the curve y = x² - 4 b. What is the maximum or minimum…

A: Given  y = x2-4    .............. (1)  To check local minima or local maxima, we have to…

Q: 1. Is it possible for the graphs of two different quadratic functions to each have x= -3 as its line…

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Q: 9. What is the value of k when writing the quadratic function y = x² + 10x – 17in vertex form? а. 22…

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Q: ph of the equation. y = x2 − 9

A: Straight Line: 1. The given points are (0,7),(8,0). The slope of the points is (m)=y2-y1x2-x1 Here…

Q: What is the x-coordinate of a local minimum on the graph of y = 3 – 2x² +7? а. 13 d. 1 3. b. 2 е. -1…

A: Find the X co-ordinate of the local minimum

Q: f f(x) = ax2 + bx + c, what can you say about the value of a, b, and c if (1,-8) is a point on the…

A: f(x)=ax2+bx+cgiven:x=1,  f(1)=-8x=3,  f(3)=4x=0,  f(0)=-23x=0, f(0)=-23  f(0)=a×0+b×0+c⇒-23=c⇒c=-23…

Q: The Minimum point of y = 8x+4 (x-2)²

A: Use a graphing utility to plot the function. Use the utility to determine the minimum point.

Q: -x* + 4xy – 2y² + 1. 13. Find the maximum value of the function f(x,y) = 6 – 4x2 - y? subject to the…

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Q: The graph of  f(x) = 2(x − 2)2 − 7 is a parabola that opens upwards with its vertex at (x, y) = 2,−7…

A: Consider the graph of f(x) = 2(x − 2)2 – 7

Q: 7) What is the minimum value? h(x) = x2 + 4x - 7 %3D

A: Given:- h(x)=x2+4x-7  To find:- minimum value of h(x)

Q: The relative minimum of y= x² – 4x +4 occurs at (A) x= -4 B None of the given choices c) x = -2 D) x…

A: We have to find out

Q: 2. Find the absolute maximum and minimum of f(xx) = xX subject to the constraint g(xx) = x2 + 8y2 =…

A: We use langrange multiplier method

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: Diagram 2 shows a graph of a quadratic function intersecting the x-axis at x = 2 and x = 6. %3D y…

A: →Axis passing through the minimum point is  the axis of symmetry.→Try to write the equation of…

Q: Find the maximum value of the function f(x, y) = x²y³ subject to the constraint a2 + y? = 10.…

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Q: Determine the extremum points and the values of the maximum and minimum of the function + f(x, y) :…

A: Given:  f(x,y)=xy+yx;   g(x,y)=x2+y2-8=0So,…

Q: maximize p=10x+65y x+6y≤12 x≥0 y≥0  What is the maximum value of​ P? What are the coordinates of…

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Q: x² minimum point of y х + 5х — 4 %D х — 5

A: Given equation is y2=x2+5x-4x-5 taking square root of above equation y=x2+5x-4x-5 Now…

Q: Describe the set of points that satisfy  x2 + y2 + z2 - 2x - 4y + 6z = 2

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Q: 1. Find the maximum/minimum value of y = 10 - 4x - 3x² and where it occurs using completing the…

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Q: I月 a. What is the maximum or minimum point for the curve y = x? - 4 b. What is the maximum or…

A: Find out the maximum or minimum point of the given curves

Q: You have answered 2 out of 3 parts correctly. Find the minimum and maximum of the function z= 2x -…

A: We first sketch the inequalities using a graphing calculator. The corner points are 3,6,…

Q: F(x) = 2x2 – 3x + 1 has a: maximum O minimum O neither a minimum or maximum

A: Given query is to find the correct option for the function.

Q: 9. Use, for example, the method of substitution to find the minimum value of the function f(x, y) =…

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Q: x2 + x – 12 minimum point of y = x2 – 4

A: The minimum point of the function y=x2+x-12x2-4 is the function value which is the least among all…

Q: Answer the question below: The student should find the absolute maximum and minimum values of h(xx)…

A: Find the absolute maximum and minimum values of hx, y=x+2y+3 using Lagrange multipliers on the…