The area D is the area in the XY-plane bounded by the X-axis, Y-axis, and the 4x + line 5y = 0. Determine the maximum and minimum values f (x, y) = 2x2 + 2y2 - 4x - 2y + 3 in the region

Q: Sketch the region bounded by the graphs of the equations f(x) = − 4/x3,         y = 0, x = −3, x =…

A: The graphical representation of the region bounded by the above equations is,

Q: Find the area of the “triangular” region in the xy-plane that is bounded on the right by the…

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Q: Find the area A of the region between y = 4x2 + 10 and y = 2x + 7 over the interval [-3, 2].

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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…

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: y = 2 – x2 ; y =-x

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Q: Find the area of the reglon bounded by the graphs of the equations. y = -x+ Bx, y = 0

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Q: Sketch the region bounded by the graphs of the equations f(y) = y2 + 1,        g( y) = 0, y = −1, y…

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Q: B) Find the area of plate bounded by y =x-1,y =3-x and y 0.

A: The area is the measure of the amount of space occupied by a plane figure. It can be expressed in…

Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

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Q: Find b such that the line y = b divides the region bounded by the graphs of the y = 9 − |x| and y =…

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Q: B. Find the area of the region bounded between the curves y = Vx + 3, y (x+ 3)/2

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Q: Find the area of the region bounded by graphs of f(x) = x³, x = -1, x = 2, and y = 0 %3D a)…

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Q: Determine the area of the region bounded by 3x - 5y + 4 = 0 and y-axis from y = 2 to y = 5.

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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…

A: To find the area of the region bounded by the below curves. y=9−x2y=xy=0 x−axis

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

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

A: here we have .............the x-axis .............upper and lower limit (2 vertical lines)

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: The area of the region bounded by y=x2+2, y=−x, x=0 and x=1 is

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Q: The area of the region bounded by the z-axis and the curve = ²t - 1, y = 1-t² equals to: [2(1-1²)e²…

A: Solution

Q: Find area of the region bounded by x2 + y2 = 32, 6y = -7x and 15y = 4x where y > 0. Leave your…

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Q: 2. The area bounded by y = -(x – 1)² + 4 , and the lines x =1, y = 2, and y = 4 rotated about the…

A: Given: The area bounded by the curves which are: y=-12(x-1)2+4 and the lines x=1, y=2 and y=4 And…

Q: Find the area bounded by y = X = 0, y = 0, and x = 3. V49-16x2

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Q: Find the area of the region bounded by the lines ( y=x2 ) & (y=2+x) for xs 0.

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Q: Sketch the region bounded by the graphs of the equations f(y)=y / (√16 − y2) , g( y) = 0, y = 3 and…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the area bounded by the two curves f(x) = x² – 8x + 8 and g(x) = - 2² + 6x – 8, and the two…

A: To find Area between two curves:  f(x)=x2-8x+8 and g(x)=-x2+6x-8 and two vertical lines x=3 and x=4.…

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

A:

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 the region bounded by the parabola x=y^2+2 and the line y=x-8

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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 the area bounded by the curve x=16-v² and the curve x=y-5y+4 as shown in figure below. x = y² –…

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

A: Equation of the parabola: x2 + p2 -2p+7x - 5y + 59 + 14p = 0               (1)Equation of lines:x =…

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 centroid of the region bounded by the graphs of the inequalities

A: Given information: y≤14x2          ...(1)x-42+y2≤16              ...(2)y≥0                ...(3)

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: Find the area of the region cut from the plane x + 2y + 2z = 5 by the cylinder whose walls are x =…

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Q: The area of the region bounded by the curves 8x =y° and 8x = 2y+y2 -2y is

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Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

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Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A: Given, y2=4-xx=0

Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A: Given,    y = x,  y = 4  and  x = 0 So the region bounded by these curves is given by shaded region…

Q: Find the area of the region bounded by the graph of y = 2x2 − 3x + 2 the x-axis, and the vertical…

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Q: The region bounded by the curves y=1-x^3. ,y=e^x.  And the line y=3

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Q: Find the area of the region enclosed by the line y = 2x + 4 and the parabola y = 4 - x2 in the…

A: The diagrammatic representation of the area is,

Q: 3. Find the area of the plane region bounded above by y = 1 -|x-1| and below by the x-axis. y = 1…

A: Here we have to find the area bounded by the given regions.

Q: Find the value of k between –1 and 2 such that the area of the region bounded by the lines y = -x, y…

A: we know that the area of a triangle with vertices A(x1, y1), B(x2, y2) and C(x3, y3) is given by…

Q: Find the area A(R) of the region R bounded by y = 2x + 4, y = 2-3x and y=-x.

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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: 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 area of the plane region bounded by y=-x+2 and y=x²-2x

A: The given curves are y=-x+2 and y=x2-2x. The main objective is to find the area of the plane region…