Find all points of intersection and shade the bounded region for: You may use either rounded or exact coordinates for the intersections.  x2 + y2 less/equal 36 y - x2 greater/equal -6

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

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Q: Find the areas of the regions enclosed by the lines and curves x - y2/3 = 0 and x + y4 = 2

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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: Sketch, shade, and label the region bounded by the functions у %3 х2 + 2 апd у %3D 2x + 5

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Q: Find the area of the region bounded by the graphs of the equations. y = 1+√√x, x=0, x= 8, y = 0…

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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: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 21/2 square…

A: The given question has been solved in detail and option B is the correct answer.

Q: Find the area of the region described. The region bounded by y = 12,288Vx and y = 192x? The area of…

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Q: Evaluate R where R is the region bounded above by the line y = 3, on the right by the circle (x -…

A: We have to evaluate ∬RydA

Q: Find the area of the region bounded by y=x^2 and y=15-2x

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Q: Find the area of the shaded region. y 3y= 2 x+ 16 (1, 6) 6 4 (2, 4) (-2, 4) y = 8 – 2x -4 -2 2 4 2.

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Q: Find the area of the region enclosed by the curves y = 2x and y = 4x- 2. You may find the graph of y…

A: We have given two curves y = 2x and y = 4x-x2 Write the limits of y and x by the given graph: y…

Q: Sketch the region given by the set. {(x,y) | x < 2 and y  ≥ 1}

A: Sketch the region given by the set. {(x,y) | x < 2 and y  ≥ 1} The statement which means The set…

Q: Find the areas of the regions enclosed by the two curves y = x and y = -x² + 4x.

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Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

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Q: ketch the region enclosed by the straight line y = 2x and the curve y = x2 − 8 and find the area of…

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Q: Determine the area of the region bounded by the line y = 8x, y -axis and y=10. a. 25 sq. units b.…

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Q: Find the area of the region described. The region bounded by y=4,096 /x and y 64x The area of the…

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Q: Determine the area of the region bounded by the given function, the x-axis, and the given vertical…

A: Formula used: Suppose f is is continuous function defined on the interval [a, b], then the area…

Q: Sketch the region enclosed by the given curves. y=√x-4, x-y=4 CHOICE A y 2 3 CHOICE D 1 1 2 -21 Find…

A: The area between the curves y=x-4 and x-y=4

Q: Q Find domain f (xry] and sketeh the region that represent thedomain -3 2 - のf (メッ) X -1 ニ 「メ+ッ?

A: To find the domain of the below functions. fx,y=x−ylnx−3 fx,y=x−1x2+y2

Q: Find the area bounded by y = x^2, the x – axis and the lines x = -1 and x = 1.

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Q: Find the areas of the regions enclosed by the curves and lines y = x, y = 1/x2, x = 2

A: Given regions are y=x, y=1x2, x=2.

Q: Find the areas of the regions enclosed by the lines and curves y = √| x | and 5y = x + 6

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Q: Find the area of the region enclosed by the curves y = 4x – a² and y = -2x + 5. You need to draw a…

A: Let's find the point of intersection first: Compare both the equations:

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: Identify the radius and height. The region bounded by y =x and the x-axis, -3 <x<2, revolved about x…

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Q: Find the area of the region enclosed by the graphs of y^2 = x+7 and y^2 = 5-x.

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Q: 3. (a) Find the coordinates of the points: A, B and C in the figure. A (b) Find the areas of the…

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Q: 4. (i) Draw the graph and shade the region bounded by the curves  x = y2─ 5y and y = x. (ii)…

A: Given information: The region bounded by the curves  x = y2─ 5y and y = x. (i) Draw the graph and…

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: Given the region bounded by the graphs below, find the area of the plane region. x=y^2+1, x=0,…

A: Given that x=y^2+1, x=0, y=-1, y=2 To find the area of the plane region

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

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Q: Find the area of the bounded region enclosed by the curves y =x² - 4x and y = -x² + 2x. ..... The…

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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: Identify the radius and height. The region bounded by y x and the x-axis, -2 <x<1, revolved about x=…

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Q: Find the area A of the region between the graphs of the equations y2 = 5x x2 = 5y A = symbolic…

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Q: Finf the area of the region bounded by y=√x-4, y=0 and x=8

A: Formula to find the area of the bounded region helps to find the required area. integration formula…

Q: Sketch the region given by the set {(x,y) | -3<x<3}

A: Given: A set {(x,y) | -3&lt;x&lt;3} The graph for the set -3&lt;x&lt;3 is:

Q: Determine the area of intersection of the regions limited by the graphs of the equations: r= 3sin2∅,…

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Q: Find the area of the region enclosed by the graphs of 1 1 y = V1 – 4.x2 y = 0, x = 0, and r 4 NOTE:…

A: Given y=1/√(1-4x2) ,y=0,x=0 and x=1/4

Q: Identify the radius and height. The region bounded by y = x and the x-axis,-3 <x<2, revolved about x…

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Q: Find the area of the shaded region. y 3- x = y - 5 y = 1 x= e -6 -4 -2 2 4 y = -1 2 3

A: Subtract the red function from the blue function and integrate between the limits -1 and 1 with…

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 area of the shaded region. y 3y= 2 x+ 16 (1, 6) 6 4 (2, 4) (-2, 4) 2 y = 8- 2x -4 -2 2 4)

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Q: Sketch the region given by the set. {(x, y) | x ≥ 3 and y < 4}

A: To draw {(x,y)|x≥3 and y&lt;4

Q: Sketch the region given by the set. {(x,y) | x ≥ 1 and y  &lt; 3}

A: To sketch the region of the set (x,y)x≥1 and y&lt;3,consider two equation x=1 and y=3 and draw the…

Q: Do not skip any steps. Find the area of the region bounded by the graphs of: X=y^2 and X=3-2y^2…

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Q: Find the area of the shaded region. y x = y - 4 y 15 5 4'2 2 -6 -5 -4 3 -2 X= y-y -2 -4 -6F

A: Given, The right function   x = y -y2  and left function     x = y2 - 4y Point of intersection of…

Q: Sketch the region enclosed by the given curves.   y = cube root(4x) , y = 1/4x Find the area of the…

A: According to question given :-y=4x3y=14xWe have to calculate the area of the region.