1. Sketch the regions associated with the following inequalities. Determine if the region is open , closed, bounded, or compact. (b) |2z + 1+ il < 4 (e) 0 < |2z – 1|< 2

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

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Q: Consider the following NLP problem: Minimize f(x,,x,X;) = x,² + 2x,² +3x,' + x,x2 – 3x,xz – 7.x, –…

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Q: Sketch the region that corresponds to the given inequalities. 4x + 2y 2 8 4x - 2y s 8 MK NN 10F 10F…

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Q: 1. Match the following: а. (h,k) AOS b. x=h Maximum/Minimum С. а Vertex d. y= k Opening

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Q: Write down (without solving) the dual LP problem. Minimize c = 7s + 7t + 2u subject to s + u 2100 4s…

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Q: In cell k1 enter a formula using the minifs function to find the minimum No. Participants where the…

A: Formula exploitation the minifs operate to seek out the minimum No. Participants wherever the price…

Q: 1. Solve by graphing. Determine if the feasible region is bounded or unbounded: 2.x+3y218

A: According to our guidelines we can do only one question if multiple question is posted. Please post…

Q: What appears to be the maximum value of P = 5x+6y for the feasible region in the graph? 16 15 14 13…

A: Hint : Maximum value of P occurs at corner point of feasible region.

Q: 8) (a) Determine if the point is in the region described by the inequality. (i) (4,2) and y x – 6…

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Q: 1. Estimate the absolute minimum and the absolute maximum on the closed interval [0,6]| for the…

A: As per the guidelines we can solve the 1st question only. If you want answer to the other questions…

Q: Sketch the region that corresponds to the given inequalities. 2x - ys 3 x + 2y s 9 10h Solution Set…

A: Given, 2x-y ≤3x +2y≤9

Q: Sketch the region that corresponds to the given inequalities. 4x + Зу s 4 4x - 3y 2 4 -y 2 2 y y 10…

A: Given problem :- Sketch the region that corresponds to the given inequalities. 4x + 3y≤ 4 4x - 3y ≥4…

Q: ) Suppose f(x, y) = x² + y² – 8x and D is the closed triangular region with vertices (8, 0), (0,8),…

A: Given that fx,y=x2+y2-8x

Q: 1. Use agrange multipliers to find the extreme values of f(x,y)=2x²+ y on the circle x² + y² =1.

A: Here, f(x,y)=2x2+y and let g(x,y)=x2+y2, thus, the constraint is g(x, y)=1. So, fx(x, y)=4x; fy(x,…

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

A: *Concept:- draw the graph, by finding the intercepts. for x+y = 5, put x = 0, we will get y = 5 put…

Q: Sketch the region that corresponds to the given inequalities. 8x 7y 2 0 x - 6y s 0 x 2 0, y 2 0

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Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

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Q: I Use Lagraine auitipliers to find the wrikrinvam ond minimum values of fa,4) = 3x² - 54 subject to…

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Q: Maximize z = 10x + 12y subject to: 3x + y 0, y>0 Graph and shade the feasible region. 1SF y 14+ 13+…

A: Given that  Z = 10x  + 12y Subject to  3x+y≤15 x+2y≤18 x≥0 y≥0.

Q: Sketch the region that corresponds to the given inequality. Зх + у s 5 y y 15 15H 15- 15 10- 10-…

A: Consider the inequality 3x+y≤5. Clearly, the origin 0,0 satisfies the inequality 3x+y≤5 as 30+0=0≤5.…

Q: Sketch the region that corresponds to the given inequalities. 16x + 8y 2 80 8x + 16y 2 80 8x + 8y 2…

A: Given:     16x+8y≥ 808x+16y≥ 808x+8y≥ 64x≥ 0y≥ 0

Q: Sketch the region that corresponds to the given inequality. 6x + y s 8 y 15 15 10 10 5A Solution Set…

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Q: Sketch the region R determined by the given constraints, and label its vertices. Find the minimum…

A: 3x+y≥3x+5y≤152x+y≤12C=6x+y , y≥0

Q: 1. The area of the region enclosed by the x-axis, the curve y = f(x) > 0, and the lines x = to f³(b)…

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Q: 1 Consider two nonnegative numbers x and y such that x+y= 10 . Maximize and minimize y -

A: To find two non negative numbers x and y.

Q: Sketch the region that corresponds to the given inequalities. 18x + 9y s 90 9x + 18y s 90 9x + 9ys…

A: The given inequalities are: 18x+9y≤909x+18y≤909x+9y≤54x≥0,y≥0

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

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Q: 6. Find and classify all the critical points of the following. No need to sketch the graph. (a) f(r,…

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Q: Consider the following system of linear inequalities who set of simultaneous solutions defines a…

A: given inequalities x1-x2≥-44x1+5x2≤405x1-2x2≤205x1+2x2≥10x1,x2≥0 (a) convert first four inequalities…

Q: Use graphical methods to solve the following linear programming problem. Minimize: z= 2x+y subject…

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Q: Suppose f(x, y) = x² + y² – 6x and Dis the closed triangular region with vertices (6, 0), (0, 6),…

A: Given,                             f(x, y)=x2+y2-6x                                  (1)and D is…

Q: Use the first- and second-order optimality conditions to find all local minimums of f : x € R² → ¤1…

A: The given problem can be expressed asMinimize f : x1+3x2Subjected to h : x12-5x22+5 Firstly, we will…

Q: Sketch the region that corresponds to the given inequalities. 12x + 6y 2 60 6x + 12y 2 60 6x + 6y 2…

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Q: Sketch the region that corresponds to the given inequalities. x+ y 2 2 * $4 ys 14 x 2 0, y 20 y y y…

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Q: Consider the set X E R? defined by the system of inequalities X = {R² : -x1+ x2 0, x2 > 0}. (a) In…

A: (a) We have the set, X={ℝ2 : -x1+x2≤2, x1+x2≤5, 2x1+x2≤4, x1≥0, x2≥0}The set is represented in the…

Q: #3: Find the maximum of the following function: h(x, y) = In(x40 y8) given the constraints: 5x² + y²…

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Q: Sketch the region that corresponds to the given inequalities. 4x + 3y s 4 4x - 3y 2 4 -y 2 2 y y 10…

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Q: 7- 4- 3- -1 2 3 4 5 6 7 8 9 10 Maximize x-5 y for the bounded feasible region displayed above.

A: We have to find the maximum value of (x - 5y) fir the given feasible region in the graph. Using…

Q: Sketch the region that corresponds to the given inequalities. 18x + 9ys 90 9x + 18ys 90 9x + 9ys 54…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 90 compare this…

Q: Sketch the region that corresponds to the given inequalities, say whether the region is bounded or…

A: Here the given inequalities as,

Q: 3- Since the D x=1 line is a region bounded by the x-axis and the graph of the y= x^(1/2) function,…

A: y = x^(1/2) is a parabola with vertex (0,0). Draw it and solve it.

Q: question 3 Sketch the region that corresponds to the given inequalities.   10x  +  5y ≤ 50   5x  +…

A: We have to Sketch the region that corresponds to the given inequalities.   10x  +  5y ≤ 50…

Q: Convert the following problems to standard form: (a) Minimize a + 2y + 3z subject to 2 1, y 2 2, z…

A: a) The given problem is,minimum x+2y+3zsubject to 2≤x+y≤34≤x+z≤5and x≥0, y≥0, z≥0

Q: Sketch the region that corresponds to the given inequalities. x + y 2 7 S 10 y s 14 x 2 0, y 2 0 y…

A: Given inequalities are,

Q: Sketch the region that corresponds to the given inequalities. 2x + 4y 2 20 ys 5 x2 0, y 2 0 y y y 10…

A: Since x≤5 and y≤5, so second and third graph cannot be the required region because in second one…

Q: 6. (a) Maximise f (r, y) = 2r + y subject to 2a2 + y = 1 (b) Minimize f(r, y) = 2r + y subject to…

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Q: Sketch the region that corresponds to the given inequalities. Зх — 8y 20 х — бу < о х 2 0, у 2 0 y y…

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Q: Consider the following equations. 4 f(x) = y = 0 X = -3 X = -1 Sketch the region bounded by the…

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Q: Sketch the region that corresponds to the given inequalities. 2x + 4y 2 4 2x - 4y s 4 20 KFE 10…

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Q: Consider two nonnegative numbers x and y such that x+y=10. Maximize and minimize

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