Sketch the region enclosed by the given curves and find its area. (a) 4x + y2 = 12, y = x (b) y = 3x − x2, y = x, x = 3

Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9Vã,x = - and x = 1 %3D…

A: since you have posted multiple question in this question so i have solved first question as per our…

Q: Sketch the region enclosed by the curves and find its area. 1 y : V1 – x²' y = 2 NOTE: Enter the…

A: Intersection points:y=22=11-x21-x2=14x2=34x=±32(±32, 2)

Q: Sketch the region enclosed by the curves and find its area. T y = cos 4.x, y = 0, x 8' - 4 NOTE:…

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Q: Sketch the region bounded by the graphs of the equations y = −x2 + 3x + 1, y = −x + 1 and find the…

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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: Find the area of the region bounded by the curves y = e* y² = 4x - 4 between y = 1 and y = 2. and

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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: The area of the region bounded by the curves y = I' and y = 2x is %3D 1/3

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Q: Sketch the region enclosed by the curves and find its area. y = 4x² ,y = 4Vx,x = - 1 - and x = 1…

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Q: Sketch the region enclosed by the curves and find its area. 1 V1- 9x2 y = 2 NOTE: Enter the exact…

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Q: y2 = 4 – x and y² + y = x + 2

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Q: Sketch the region enclosed by the curves and find its area. 1 x = 0, y = 1, y = e3 x = -, NOTE:…

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Q: Q1) Sketch the region enclosed by the curves and finds its area y=sin2x y=0, x=, x 4

A: The objective is to find the area of the region enclosed by the curves y=sin2x, y=0, x=π4, x=π2 The…

Q: Sketch the region enclosed by the curves à - 5 = 4y and x − 21 = (y — 4)², and compute its area.

A: x-5=4y⇒x=4y+5     x-21=(y-4)2 ⇒x=(y-4)2+21 Area between the curves…

Q: Sketch the region enclosed by the curves and find its area. 1 y = 4x2 ,y = 4 x, x = -andx = 1 Enter…

A: So, the area will be                    Area=∫1414x-4x2dx       =∫1414xdx-∫1414x2dx       =73-2116…

Q: Sketch the region enclosed by the given curves andfind its area.   x = 2y2    ,x = 4 + y 2

A: Given curves are x=2y2 and x=4+y2 Will find the intersection points of the given curves. We will…

Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9 Vx,x = - and x = 1…

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Q: Sketch the region bounded by the given curves, then find its area. y = 2x - x^2, y = 2x^2 - 4x

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Q: Sketch the region bounded by the graphs of the equations y = x2 − 1, y = −x + 2, x = 0, x = 1 and…

A: Sketch the region bounded by the graphs of the equations y=x2-1,y=-x+2,x=0,x=1 as shown below.

Q: Sketch the region enclosed by the given curves. y=5cospix, y-12x^2-3 Find its area.

A: Plot the curves. From curve, upper curve=5cosπxLower curve=12x2−3LL=−0.5 and UL=0.5

Q: Sketch the region enclosed by the curves y = x² and y = 4x – x² and find its area.

A: Plot the 2 curves and find the area A to be calculated. The shaded region between the curves is the…

Q: Sketch the region bounded by the curves x = 3y2 and x = 12y - y2 - 5 aand find its area.

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Q: Sketch the region enclosed by the curves and find its area. y = cos8x, y = 0, x = π/16, x = π/8

A: Given: y = cos8x, y = 0, x = π/16, x = π/8

Q: Sketch the region enclosed by y = 4x and y 2x²!. Decide whether to integrate with respect to xlor y,…

A: In this question we have to find area of the region.

Q: Sketch the region enclosed by the curves and find its area. y = 3r° ,y = 3ñx =and x = 1 = 3x² ,y = 3…

A: Topic = Application of integration  Area = 49 / 64

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. x = y2 −…

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Q: 2. Find the area of the region enclosed by the curve =x- 4 and y = x - 2.

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Q: Sketch the region enclosed by the curves and find its area. y = x, y = 3x, y = -x + 4

A: Given; y=x, y=3x, y=-x+4   Now find the point of intersection between the line y=-x+4 & y=3x.…

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: The area of the region bounded by the two curves y = x² and y =4 is

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Q: The area of the region bounded by the curve y= x3−3x2−x+3 and y=0 is

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Q: Sketch the region enclosed by the curves and find its area. 1 x = 0, y = 1, y = e4 * = - NOTE: Enter…

A: The solution of the problem is given in the next step.

Q: 4. у%3D 2х—х2, y = 2x² – 4x

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1 - 81x2' NOTE: Enter the exact…

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Q: Find the area of the region between the curves y = x + 1, y = 9 – x², x = -1, and x :2. %3D Area…

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Q: Sketch the region enclosed by the curves and find its area. y = cos 10x, y = 0, x = 20' 10

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Q: Sketch the region enclosed by the given curves and find its area. у — y = 1/x, у — х, у—x, х>0

A: The given curve is: y=1xy=xy=14xx>0  Sketch the region enclosed by the given curves and find its…

Q: ( ) The region between the graphs of y = x2 and y = 2x is rotated around the line x = = 2. The…

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Q: Sketch the region and find its area. 36 and y 1 9+x2 The region bounded by y= -

A: Given     y=369+x2,  y=1

Q: Sketch the region enclosed by the curves and find its area. 1 y = 3x2 .y = 3Va,x =and x = 1 4

A: The area between curves can be obtained using definite integration. The limits of the integration…

Q: Sketch the region enclosed by the curves and find its area. y = e*, y = e³x, x = ln 2, x = In 3 AREA…

A: Consider the curves  y=ex,y=e3xx=ln2 , x=ln 3

Q: Find the area of the region bounded by the curves x + y = 0 and x = y² + 3y.

A: NOTE: Refresh your page if you can't see any equations. . given equations are so the first…

Q: sketch the region enclosed by the curves and find its area y=1/x, y=2x-1,y=9

A: Consider the following graph:

Q: The area of the region enclosed by curves is    curves x=2y^2              x=0 , y=3

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Q: Find the area of the region bounded by the curves y² - 4x = 5 and 4x + 3y = −1

A: We can find the area of the region between the two curves using the double integration method. We…

Q: Sketch the region bounded by the graphs of the equations f(y) = y2,           g(y) = y + 2  and find…

A: Consider the provided equations,  fy=y2   and   gy=y+2 Sketch the region bounded by the graphs of…

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: Sketch the region bounded by the graphs of the equations and find the area of the region . y = ex, y…

A: The diagrammatic representation of the area is,

Q: Sketch the region enclosed by the curves and find its area. 3 x = 0, y = 1, y = e3 x = -, NOTE:…

A: Let's find.