Sketch the region that corresponds to the given inequality. HINT [See Example 1.] 2x − y ≤ 6   Say whether the region is bounded or unbounded.   Find the coordinates of all corner points (if any). (If an answer does not exist, enter DNE.)

Q: Sketch the region corresponding to the statement P(z < c) = 0.05. %3D

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Q: Write an inequality to describe the region of R³ consisting of all points between, but not on, the…

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Q: Sketch the region that corresponds to the given inequalities. 4x + y s 7 x - 4y 2 6 y Solution Set -…

A: The given inequalities are  4x+y&lt;=7 x-4y&gt;=6

Q: Let R be the region bounded by the x-axis, the graph of y = Vx , and the line x = 4. Find the value…

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 - 4x -…

A: we use langrange multiplier method

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y? + 8x – 8y,…

A: Given function is f(x,y)=x2+y2+8x-8y Consider g(x)= x2+y2≤81 Let us find the gradient of the given…

Q: The figure below shows a region that consists of a semi-circle on top of a rectangle. Give the value…

A: The given region is as follows, Length of the rectangle = x units =Diameter of the semicircle ∴…

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

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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 defined by the inequalities 0 <r< 2 sec 0 and -T/4 < 0 < T/4.

A: The given inequalities are

Q: d) Let A, be the region between y = x² +9 and y 21-x. Let A, be the region between y = x² + x – 12…

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Q: Given that a is a parameter, which region provided below is part of the solution to the following…

A: For the inequality |x|&gt;a x&gt;a or x&lt;-a

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: Given the area of a rectangle is A = LW. If three sides of the rectangle are fixed, for example, 2VW…

A: Given:- Given the area of a rectangle is A = LW If three sides of the rectangle are fixed, for…

Q: Which of the following points is cotained within the feasible region corresonding to the system of…

A: Given inequations are                                                         3x+6y&lt;12…

Q: An inscribed rectangle is bounded by the x- axis and the semicircle y=25-x. What length and with…

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Q: J What region in R³ is represented by the inequalities 3. 3 3 +852²+3x+3+ y²-2y + 5+ 3²-4²+4≤ ³+10?…

A: To find the volume if the region use the formula of volume of the sphere .

Q: From the graph of the function f (z) =-|z+ 3| + 5, Desi found the solution of {z|z S-6 or z2 0} for…

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Q: A legal-sized sheet of paper (8.5 inches by 14 inches) is folded so that corner P touches the…

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Q: The base of a three-dimensional figure is bound by the graph x = y³ and the y-axis on the interval…

A: In this question, we need to find the area of each rectangle and not the area of the complete…

Q: The maximum value of the function f(x,y) = x2 +2y? - x in the region x? + y? < 1

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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: Set et up the Simplex tubleau Maximize P=9x+ 24+ 7z Where Sx+34+102/317 4x-lay-97<=32 dx +lay +57=…

A: let  p as Z and X as X1 , y as X2 , Z as X3 Find solution using Simplex method (BigM method) MAX Z =…

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x² + y²+ 6x – 6y,…

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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: Sketch the region that corresponds to the given inequality. 5x + 2y ≥ 7   Say whether the region is…

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Q: The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-2, 2].…

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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: Sketch the region that corresponds to the given inequalities. 5x - y s 4 x + 2y s 3 y y y 10 10 10-…

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

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Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  4y ≤ 0 x ≥  0, y…

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Q: Sketch the region that corresponds to the given inequalities. 4x  +  2y  ≥  4 4x  −  2y  ≤  4 x…

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Q: 38. Using the Cauchy-Schwartz Inequality, the MINIMUM value of the function a? +y subject to the…

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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: Find the volume of the semicircular wedge shown in the following diagram, which is the region where…

A: The given curves are x2+y2≤9, z≥0 and z≤-y. To find: the volume of the given area.

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y² + 6x – 6y,…

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Q: If x and y are two positive numbers that satisfy xy = 7, then what is the minimum value of 2 x +3 y…

A: Find the minimum

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 inequalities. 2x + 3y ≥ 6 2x − 3y ≤…

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Q: 38. Using the Cauchy-Schwartz Inequality, the MINIMUM value of the function a + y subject to the…

A: 38 Given function is fx,y=x2+y2 We have to find the minimum value of fx,y=x2+y2 subject to condition…

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

A: Here the given inequalities as,

Q: A legal-sized sheet of paper (8.5 inches by 14 inches) is folded so that corner P touches the…

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Q: Sketch the region defined by the inequalities -1&lt;=r&lt;= 2 and -pai/2&lt;=u&lt;=pai&gt;2

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Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  6y ≤ 0 x ≥  0, y…

A: We need to Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −…

Q: Find the extreme values of f (x, y) = x² + y² + 4x – 4y inequality x² + y? < 9. on the region…

A: We are given that f(x, y) = x2 + y2 +4x-4y  We have to find extreme values of f(x, y)  On region…

Q: The maximum value of the function f(x,y) = x² + 2y² – x in the region x? + y? < 1

A: We have to find the maximum value of the function fx,y=x2+2y2-x in the region R: x2+y2≤1.

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: 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: Find the extreme values of f on the region described by the inequality. a) f(x, y) =(x² +2y²)e*x+y…

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Q: * and Let R be the region bounded by the graphs of Ci: ]y C2: (y – 4)² = -4(x – 6). Find and solve…

A: Given : R be the region bounded by the graph of curves C1 : y - 1 = 12x and C2 : y - 42 = -4x - 6…