(a) Sketch the region given by the following inequalities: x + y > 1, 2x – y < 2, x, y > 0. - (b) State whether or not the region is (i) convex, (ii) closed, (iii) bounded, giving a reason for each of your answers.

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

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Q: 3. Find absolute minimum and maximum values of the function, L(x.y) = 2 + 2x + 4y - x2 – y2 bounded…

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Q: Sketch the region defined by the inequalities 0 ≤ r ≤ 2 sec θ and -π/4 ≤ θ ≤ π/4.

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Q: 1. Shade and label the feasible region R which satisfies: y<-x+6 3 y2-xーニ 2 1 2 y< 2x+4 y54 [5M]

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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: Sketch the region that corresponds to the given inequalities. 2x + 4y 2 16 < 5 y s 4 x 2 0, y 2 0 y…

A: Given:-   2x + 4y ≥ 16 x ≤ 5 y ≤4 x ≥0, y  ≥0 To find:- Solution by graphical method

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: 2. Graph the solution region of each of the following systems of inequal- ities. (a) 6x + 12y 0, y…

A: Given: a) 6x+12y≤15, y≥2x-3 with x≥0, y≥0 b) y&lt;x, 2y+4&gt;x with y≥0

Q: Sketch the region that corresponds to the given inequalities. 4x + 5y s 4 4x - 5y 2 4 -y 2 2

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Q: Sketch the region that corresponds to the given inequalities. x + y 2 4 ys 1 x2 0, y 20 y y 20 20 20…

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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: Sketch the region that corresponds to the given inequalities. 3x -ys 8 x + 2y s 5 y y 10 10 -10 -5…

A: Sketch the region that corresponds to the inequations  3x-y&lt;=8 x+2y&lt;=5.

Q: Is the solution region bounded or unbounded? - x + 2y 2 8 3x - y s 5 X 2 0 y 2 0 The region is…

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Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  2y ≤ 0 x ≥  0, y…

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

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Q: 3. Determine the absolute maximum and minimum values of f(x, y) = 2+4x-2.x²+4y-y² on the region R…

A: The given function is f(x, y)=2+4x-2x2+4y-y2 The function is on the region bounded by the x-axis,…

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…

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A: Given:Income distribution curvey=0.2x3+0.6x2+0.2xWhere y(x) is the percentage of the national income…

Q: Minimize: z = x - y subject to: 4x — Зу 20 Зх — 4у < 0 х, у 2 0

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Q: Describe in words the region of R³ represented by the equations x² + y² = 4,z = -1.

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Q: Carefully sketch the region of the plane satisfying the system of inequalities. x + 3y 0 y 2 0

A: Since there are two questions posted, we will answer the first question (9). If you want the second…

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

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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: If the Neumann problem for a bounded region has a solution, then it is either unique or it differs…

A: see my solution

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: 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

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A: Given ,  We have to minimize - 3x - y for the bounded feasible region displayed above

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Q: Sketch the region that corresponds to the given inequalities. 4x  +  5y  ≤  8 4x  −  5y  ≥  8     −y…

A: Plotting these inequalities.

Q: Of all points (x,y,z) that satisfy x+y+4z=24, find one that maximizes (x-1)2 +(y-1)2+(z-1)2

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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

A: Inequalities are obtained when the values of two sides of an expression are not equal and compared.…

Q: 3. yA -12- -10- 8- 6- 4- 2- -2 -2- -4- -6- -8- -10- On the grid, label the region that satisfies all…

A: We need to plot region of given inequalities.

Q: Sketch the graph of the solution set of the system of inequalities. Label the vertices of the…

A: Let's find.

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: Sketch the region that corresponds to the given inequalities. 10x  +  5y ≥ 50 5x  +  10y ≥ 50 5x  +…

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Q: D. Maximize z = 10x + 12y subject to: 3x +y < 15, x+ 2y 18, x 2 0, y20 Graph and shade the feasible…

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Q: 18. a. Sketch the region of solutions of the following systems of inequalities: x +y< 6 x< 5 y< 4 x…

A: Given inequality :x+y≤6x≤5y≤4x≥0y≥0

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: Sketch the region that corresponds to the given inequality. XS 4y 1아 1아 1아 Solution Set 5- Solution…

A: Given the inequality . Let us consider the inequality as an equation. that is x = 4y. Now to graph…

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: 1. Shade and label the feasible region R which satisfies: ys-x+6 1 y2-xーー y< 2x+4 y54

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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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