Find the absolute maximum of f(x,y)=xy/x^2+1 on the region R={(x,y)|−1≤x≤1,1≤y≤2}. Express the answer as an ordered triple.

Q: Find the area A of the region between y = 4x +8 and y = 3x +2 over the interval [-2,3]. y= 4x+ 8 40-…

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: Compute volume under the surface x+ 2y2 above the region described by 0sxs1 and 0sysx?, shown below.…

A: Given that surface is x+2y2 and region is described by 0≤x≤1 and 0≤y≤x2. It is required to find the…

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

A: The area between the curves y=9-x2, y=x, x=0 :The area between curves is the area between a curve fx…

Q: Find absolute extreme values of f(x,y) = 2xy² over the region R that is above the x-axis and bounded…

A: Given that f(x,y)=2xy2.

Q: Find area of the region bounded by x2 + y2 = 6?, 3y = -8x and 17y = 10x where y 2 0. Leave your…

A: Area of region

Q: The area of the region bounded by y = v9-x² , the x-axis and the line y3x in the first quadrant is:

A: The area of the region is calculated by the double integration, and to solve double integration we…

Q: Integrate the function f (x, y) = 3xy over the region bounded by y = 32x2 and y = √x

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Q: FIND THE VOLUME OF THE SOLID GENERATED WHEN THE REGION BOUNDED BY THE CURVE (x-5)² = 4-Y AND THE…

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Q: Find the area bounded by the curve x y2 +2y and the line z = 3. %3D

A: Given :                curve x = y2 + 2y and the line is x = 3 To find :               The area…

Q: Sketch the region in the xy-plane defined by the inequalities x - 2y2 ≥ 0,   1 - x -| y| ≥ 0, and…

A: Now the graph is,

Q: Compute area of the region bounded byx2+ (y−1)2= 9 andy=x+ 1 and the (horizontal) liney= 1 (we…

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Q: Compute volume under the surface x+ 2y2 above the region described by 0sxs1 and 0sysx², shown below.…

A: Calculate the volume: V=∫x=01∫y=0x2∫z=0x+2y2dzdydx   =∫x=01∫y=0x2x+2y2dydx   =∫x=01x3+23x23dx…

Q: Determine the area of the region between the two curves by integrating over the y-axis. x = y² and x…

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Q: Find the volume of the solid whose base is the region bounded between the curve y = x2 and the…

A: Given that the solid whose base is the region bounded between the curve y = x^2 and the x-axis from…

Q: The region R is bounded by y 4 %3D and y = x +3. -

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Q: a. Find the area of the region bounded by the curve y = x³ and the line y = 4x. ovis for

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Q: A// Find the area of the region bounded above by (y= e), bounded below by (y x)and the boundary line…

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Q: The volume of the region bounded by x² + y² + z2 =1 is

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Q: Find the volume of the region bounded by: y= 0 X =0 x - V3 that is rotated about the x-axis

A: Here is the solution of the given problem. DISK METHOD:

Q: = Find area of the region bounded by x² + y² = 4², 10y = -6x and 13y 8x where y > 0. Leave your…

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Q: Integrate the function f(x.y) = x'y over the region on bounded by y=x,x-0, x-1 y 0

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Q: Find the area of the region bounded by the graphs. 1. y=x',y=Vx 2. y+x = 6, y+2x-3 = 0 3. 2y = x+…

A: Area enclosed by bounded region  y=x^2 , y=√x A=1/3 sq units

Q: Find the area of region enclosed by the curves. Hint: using integration y=lx²-4l and y=(x²/9)+4

A: The area under the curve: - Three easy procedures are often accustomed to figure the realm…

Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 51 and the upper cone z2 = 3x2…

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Q: Find area of the region bounded by x² + y² = 5², 7y = -3x and 19y = 4x where y > 0. Leave your…

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Q: Find the area of the region bounded by y = 5-x2, y 2x+2, y=-x-1, a. in terms of x b. in terms of y y…

A: We will find out the required value.

Q: Find area of the region bounded by x2 + y2 = 32, 6y = -6x and 20y = 6x where y 2 0. Leave your…

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

A: The region bounded by the x-axis,y=3x and x=2 is:

Q: Find the area of the region bounded by y = 5-x2, y 2x + 2, y=-x-1, a. in terms of x b. in terms of y…

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Q: While evaluating the area of the region bounded by two curves Vỹ = x and y - 11z + 24 = 0, the…

A: Given: Two curves y=x and y-11x+24=0 are intersecting each other. The objective is to find the…

Q: Find area of the region bounded by x2 + y2 = 52, 3y = -2x and 20y = 8x where y 2 0. Leave your…

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Q: Sketch the region bounded by y =x² and x =y ( x 2 0) about the x-axis. %3D

A: Solve the following

Q: What is the area of the region bounded between the graphs of x= y + 1 and x = 3 – y? ?

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Q: Find the area of the enclosed region bounded by the graphs of y=e^x, y=x, the y-axis and the line…

A: Here we have to find the area of the enclosed region bounded by the graphs of y=ex,y=x,the y-axis…

Q: While evaluating the area of the region bounded by two curves y√=xy=x and y−15x+54=0y−15x+54=0, the…

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Q: Q3. The region bounded by the curve y x² and the line y 3x, is revolved about the line x = -3. Find…

A: Here i use cylindrical shell method to find out volume of rotation

Q: Find area of the region bounded by x² + y² = 42, 9y = -10x and 14y 5x where y > 0. Leave your answer…

A: Given: The area of the region bounded by the curves are x2+y2=42, 9y=-10x, 14y=5x where y≥0 To find…

Q: Find the area of the region bounded by the graphs of the equations. y = Vx(4 - x), y = 0

A: Sketch the area of the region bounded by the graphs of the equations y=x4-x and  y=0 as shown below.…

Q: Find by double integration the area of the region in xy, plane bounded by the curves y = x2 and y =…

A: Using vertical strip

Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²)

A: Given:          x2=y41-y2         x=±y41-y2         x=y21-y2 The graph is symmetric about the…

Q: The volume of the solid obtained by revolving the region bounded by the curve y = x - x² and the…

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Q: The region is bounded by the curve y = 4x – x², y = 4 and the y-axis.

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Q: Find the area of the region enclosed by the curve y = 4x – x² and the line y = x using double…

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Q: Find the area of the region bounded above by y = x + 6, bounded below by y = x², and bounded on the…

A: We need to calculate the intersection points of the given curves. So,…

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

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Q: Find area of the region bounded by x2 + y2 = 6?, 5y = -7x and 2ly = %3D 11x where y > 0. Leave your…

A: The region bounded by x2+y2=62, 5y=-7x & 21y=11x where y ≥0

Q: y=√x, x = 4, and the x-axis.

A: Consider the given function y=xand the x-axis

Q: While evaluating the area of the region bounded by two curves V/y = x and y – 10x + 21 = 0, the -…

A: We will find interesting points.

Q: Find the limits of integration for the area of the region enclosed by the graphs x = 2y2 and x · y =…

A: Given graphs,  x=2y2, x-y=1 ⇒x=y+1