Sketch the region that corresponds to the given inequalities. 4x  +  2y  ≥  4 4x  −  2y  ≤  4 x      ≥  0 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.) smaller x-value(x, y) =

Q: Consider the region satisfying the inequalities. Find the area of the region. y se-3x, y > 0, x > 0

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Q: R is the region bounded by y = x² – 2x and y = x – 2.

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Q: Given : The region is bounded by the curve y=4x-x^2, y=4 and the y-axis Problem : The center…

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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: 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: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: Find the extreme values of f on the region described by the inequality. f{x, y) = e-Xy; x2 + 4y2 < 1

A: We will lagrange's multiplier here

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: 1. Find the area of the region bounded by the boundary conditions below: (complete with graph) a. y…

A: We have y=x+5 , y2=x , y=2, y=-1 Now, the region can be graphed as below: The area lies from y=-1…

Q: Find the (x-1)² + y² = 1 areo OF the region bounded by the circles x²y³²= 1 and

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Q: The area of the region bounded by y = v9– x² , the x-axis and the line first quadrant is: O 9(n+2)/8…

A: Given: To explain the correct option of the given statement as follos,

Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: The area of the region bounded by y = v9- x2, the x-axis and the line y-x in the first quadrant is:…

A: We will use basic knowledge of Integral calculus to solve this question. First we identify the…

Q: Find the area of the region bounded by y = x^2- 5x + 6, the x axis, and the vert çal lines x = 0 and…

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Q: 2. Find the area of the region bounded byx = 4y – yʻ, and x =y. -2+ 15 A) square units 2 C) square…

A: The area under the curve is obtained by using double integration I=∫ab∫f(x)g(x)dydx or…

Q: The area of the region bounded by x = /9-y2, the y-axis and the line x-y in the first quadrant is: O…

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Q: 5. Sketch the region in the -plane defined by the equation or inequalities a. -1&lt;=y&lt;=3 b.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The area of the region enclosed by the curvey x-2 and the line y 2 is: Select one: a. 19 4. O b. 32…

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Q: Find the area A of the region between the graphs of the equations y2 = 10x x2 = 10y %3D %3D A = %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: x+ y = 6 6x y = X+1

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Q: Sketch the region enclosed by the given curves. x = 7y2, x = 5 + 2y2

A: The region is enclosed by the curves x=7y2 ; x=5+2y2

Q: Sketch the region enclosed by the given curves. y = x* - 15x?, y = x? 20 4 40 -6 -2 6 2 -20 20 -6 -4…

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4 O 63/2 square…

A: Please refer to the image below

Q: Sketch the region that corresponds to the given inequalities. x + y > 3 < 10 y < 12 х2 0, у 2 0 y y…

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Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

A: It is given that radius of circle is 50 feet.  The equation of the region is x2+y2=502; x≥0 and y≥0.…

Q: 3. Find the area of the region enclosed by the given curves. y = Vx + 2, 1 y = x = 0, x = 2 %3| x…

A: Recall: If f(x) and g(x) are two continuous function and f(x) ≥g(x) on the closed interval [a,b] ,…

Q: The absolute minimum of ƒ (x, y) = x² + y² – 4y on the semicircle region D = {(x, y) | y≥ 0, x² + y²…

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Q: || 4.y-y dA, Dis the region bounded by y = Vx and y =x.

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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.   14x  +  7y ≤ 70   7x  +  14y ≤ 70…

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Q: f(x, y) - x/y over the region in the first quad- rant bounded by the lines y = x, y = 2x, x = 1, x =…

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Q: A region R is bounded by the graphs of y30.1 x and y=0.1x. Find the moments My and My of R about the…

A: Given : R is the region bounded by the  functions y= 0.1x,  y = 0.1x   To find : The moments Mx…

Q: Sketch the region that corresponds to the given inequalities. 2x + 3y ≥ 6 2x − 3y ≤…

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Q: 4. f(x, y) = 4x + 4y; R is the region enclosed by the circle x +y = 4. %3D

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Q: Find the area of the region bounded above by y = -x2-3x-2 and below by y = -2. AY 51 4 3 54 32 t 1 2…

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Q: 9) Evaluate [[ dA ,R: the region bounded by y =x & y=x 10) Evaluate fx(1+y*) ³dA ,R: the region in…

A: We will use basic knowledge of integral calculus and evaluation of integral to answer both the…

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: 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: 2: For the region R enclosed by the lines y dy = 2? y y=x y=-x y=2 2 2 6 x, y = x

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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: 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: 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: 15. x² dA; R is the region bounded by y = 16/x, y= x, R and x = 8.

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Q: 5. Find the area of the region bounded by y=x² - 6x +5 and the x-axis. 125 (a) A= square units 3 (b)…

A: To find the area of the region bounded by given curves.

Q: 10) Find ff, (x + y) dA where R is the region in the first quadrant bounded by x2 + y2 = 4, y = x…

A: x2+y2= 4 is a eqn of a circle having center at (0, 0) and radius is 4y = x is the eqn of a straight…

Q: 5. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3 Then the area…

A: We know  that the area under the graph of a continuous function f (x) between the vertical lines x =…

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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