Is the solution region bounded or unbounded? - x + 2y 2 8 3x - y s 5 X 2 0 y 2 0 The region is because it lies in the quadrant, the line - x+ 2y 8, and the line 3x - y = 5.

Q: Q2 Shade the area of the region bounded by the parabola, x² + p? – 2(p + 7)x – 5y + 59 + 14p = 0 and…

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Q: 412.4) 1] For the bounded region, what is the value ofR (4x + 2) dA? y 2x a) 5 b) 12 c) 22 d) 8 e)…

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Q: y = -x² + 2x + 2 y = -x + 2 cetch the region bounded by the graphs of the equations, y 10

A: Given that: y=-x2+2x+2y=-x+2

Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

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Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

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Q: Is the solution region bounded or unbounded? - x+y 2 -6 x 2 - 10 x s 0 ys0 The region is V because…

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Q: Find the area of the shaded region. (-11/4, 11/2) 10 y 8 x = y² - 6 y 6 4 -2 x = 5 y-y² 5

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Q: Q3:B/ Find the areas of the regions enclosed by the line and the curve y = x* – 4x? + 4 and y = x?

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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: Q2 Shade the area of the region bounded by the parabola, x² +p? – 2(p + 7)x – 5y + 59 + 14p = 0 and…

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Q: 6. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

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Q: The region between y =1+1 and y = 9 – 2, for -1 <I<2

A: (2) Given curve is y=x+1 and y=9−x2 for −1≤x≤2 We have to find the area. The graph of the required…

Q: Evaluate (x-2y )à -(r'y+3)cy around the boundary of the region defined by 3C. y = 8x and x = 2.

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Q: The maximum value of the function f (x, y) = x² + 2y² – x in the region x? + y? < 1 3/2 zero 9/4…

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Q: I went ahead and sketched what I believe to be the answer but how would I find the area of the…

A: Given equations are y=−x2 + 2x + 2 x=−x + 2

Q: 8. Consider the lines l1, l2, l3, and l4 are given by equations r+y+2 = 0, –x+2y+4 = 0, x + y – 4 =…

A: a) We make a table for each equation x+y+2=0 x 0 -2 y -2 0   -x+2y+4=0 x 0 4 y -2 0…

Q: Is the solution region bounded or unbounded? -x+y s 5 xs 13 x 2 0 y 2 0 ... The region is because it…

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Q: Practice Question 8.3

A: (a) The given lines are,

Q: (b) |/ (3x2 + y²) dA where F is the region bounded by y = x and x = y? – y. F

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Q: Find the area between curves

A: You have asked two unrelated questions in the same post. I will therefore address the first one.…

Q: Q2 Shade the area of the region bounded by the parabola, x² +p2 - 2(p+7)x – 5y + 59 + 14p = 0 and…

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

A: Newton Leibniz formula : Suppose h(x) and g(x) are differentiable function of x then ,

Q: Minimize w=2y, +y2 + 3y, The minimum is w= when y, =.2 = and y, = (Type integers or simplified…

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Q: (y – 2x2)dA where R is the region bounded by the square R 2: Evaluate - |x| + \y| = 1.

A: Solution is given below:

Q: 8. Consider the lines (1, l2, l3, and l4 are given by equations r+y+2 = 0, -r+2y+4=0, r+ y - 4 = 0,…

A: (a)

Q: y = x2 − 2x,  y = 4x + 7 find area of region

A: y=x2-2x......(1)y=4x+7......(2) Solve the above equation, 4x+7=x2-2xx2-6x-7=0x=-1,7

Q: tión Help ch the solution region of each system of linear inequalities with one of four regions…

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Q: Find the area of the region bounded by: x = y? + 1 V3D -X - 1 y = 2 y = - 2

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Q: The of the region enclosed by the graphs of y = x - 6x -2 and y = x-2 is_ area _square units. a.…

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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: Let R be the solution region for the system of inequalities { x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a)…

A: The system of inequalities is provided as: x2+9y2-18y≤0y2+2y-x2&gt;0 The solution region is R and we…

Q: dA, y3(x3+1) Evaluate where D is the region bounded by 1 x = -y3, х %3D 3 аnd the x — ахis.

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Q: 6. Find the area of the region bounded by x = y³ − 4y² + 3y and the x = y² − y. 77 (a) A= square…

A: The region is bounded by the curve x=y3-4y2+3y and x=y2-y

Q: b. [(x² + y²)dA; Ris the region bounded by y = x and y² = 4x. %3D

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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: 1. 3x, If R is the region in the first quadrant bounded by x-axis, 3x + y = 6 and y = evaluate ff 3y…

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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: Let R be the solution region for the system of inequalities x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a)…

A: The standard equation of the ellipse  is x-h2a2+y-k2b2=1. The standard equation for the up-down…

Q: ve the system graphically and indicate whether the solution region is bounded unbounded. Find the…

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Q: y2 =-x2 +2x+3

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Q: y R 4 Let R be the region bounded by the graphs of y = }x² + 2 and y = 2+ 6x – x? , as shown in the…

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Q: z> (x² + y? )+/2 Draw the region: and x² + y? + z² 4 x² + y? + z2 <= 16 and

A: Consider the inequalities, z≥x2+y212, x2+y2+z2≥4 and  x2+y2+z2≤16 To draw the region enclosed by…

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = e-XY; x2 + 4y2 s 1…

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Q: 3. Region bounded by y y=x and y = 2x a. revolved about the x-axis (Washers) b. revolved about y=5…

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Q: a of the shaded region. y 3- = y² -7 x y= 1 X= -8 -6 -4 4 Hy = -1 -2 2. 2. 2.

A: area under the curve can be calculated as:-

Q: When P = 3 Q2 Shade the area of the region bounded by the parabola, x² + p? – 2(p + 7)x – 5y + 59 +…

A: At p=3, the equations become: x2+9-20x-5y+59+42=0⇒x2-20x-5y+110=0and x=5,x=15,y=-4 Now, the area…

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: Evaluate |[(x² +2y)dA where D is the region bounded by y = x, y = x', and x > 0. -D Include a plot…

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Q: The graph below shows a region bounded between y = 4 – VT and y = – 4+ Vx. %3D 4 -3 -2 -1 1 2 3 4 6.…

A: Solution:-