9- The graph of the function y = x^3 What is the area of the region bounded by the lines y = 0, y = 1 and the y-axis, br^2? A) B) OC) 27 O D) 14 33 O E) 4

Q: Sketch the region bounded by the graphs of y = Vx and y = (3-x) on the interval [0,3], then find its…

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Q: Let R be the region bounded by the curve y = r and the line y = 2x. Use inequal- ities to describe R…

A: In this question we have to describe the area of region by using vertical cross section

Q: 10 Find the area of the surface generated by revolving the region bounded by. ISKSS about the…

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Q: 26 Find the area of the region bounded by, c. The curve y= In x, the lines x 4 and the x-axis. d.…

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Q: 6. Sketch the region in the zry-plane that is bounded between the graphs of y= In+4 and y = +2x.…

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Q: Sketch the planar region bounded by y = x³, x +y = -2 and y = 0. Find its area.

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Q: Sketch the region enclosed by the following curve and find its area. x = y^4, y =√2 − x, y = 0

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Q: By using double inpegrals, Find Ihe area the enclosed by of region b) cur ve x:- yo, Line e) curve…

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Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2 - x)

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Q: 1. Sketch and find the area of the region bounded by y = In x, y =1- x and y = 2.

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Q: Compute the area of the region enclosed by the curves y = x² + 3 and y = 5. %3D 8/2/3 O 1/3 None of…

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Q: y = 0, y = 2, y = 2 – (x + 2)´, y = 2 – x - -

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Q: Consider a triangle of area 2 bounded by the graphs of y = x, y = 0, and x = 2.   Sketch the region?

A: First draw the x and y axes . Label x for x-axis and y for y-axis . Line y=0 passes from the point…

Q: Sketch the region bounded by the graphs of y =e* and y=e¯X on the interval [0,1], then find its…

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Q: 1. y = a2, y = Va, = x2, y = Vr. on the interval 0.25, 1]

A: The objective is to find the area enclosed between two curves.

Q: 7. Find the radius of gyration of a plate covering the region bounded by y3,x 2, and the x-axis with…

A: Formula used:Radius of gyration, moment of inertia and area under curve with reference to y axis is…

Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, 1. y = -X, 3 x >0 y y 8- 6. 6. 4 4…

A: Given curves: y=3x, y=12x, y=x3 Andx>0

Q: Sketch the region enclosed by the given curves andfind its area. y = x2 ,y = 4x - x2

A: Let us find the point of intersection by equating the two curves  x2=4x-x2 x2+x2-4x=0 2x2-4x=0…

Q: 5- Determine the area of the region enclosed by the curve y-3- V, and the lines y-5- z, x-axis and…

A: We have to determine the area of the region bounded by the curve y=3-x and the line y=5-x, x-axis…

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: Draw the region bounded by the curves r=√(3cosθ) and r=3sinθ and find its area.

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Q: 8. Detemine the area of the region enclosed by the curve y = x +4 and y = x+4. %3D

A: The given curves y=x2+4 and y=x+4

Q: 3. Sketch the region enclosed by the curves/lines x = y, y =÷, x = 3 and find its area.

A: Given equations: x=y……1y=1x……2x=3……3

Q: 5 Compute the Surface area f obtained by revoluing the line y=x around the y-aris. a cone whichü

A: To find the surface area of cone which is obtained by revolving y=x revolved around y-axis.

Q: 17) Find the total areas of the regions bounded 17.1) y = e", y = e(2 – x), y axis |

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Q: The area of the region bounded by y=x2+2, y=−x, x=0 and x=1 is using horizontal strip xright-xleft

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Q: Sketch the region enclosed by the curves/lines x = y, y =1/x, x = 3 and find its area.

A: given,         x=yy=1/xx=3

Q: s Show that the area of the plane region bounded by the curves, r-y = 7, r= 2y-y+3 is 9 sq. units.

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Q: 7. Sketch the region enclosed by the curves x = region. y4 and y = V2 – x for y > 0 and find the…

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Q: Determine the area of the region bounded by the graph of the curve y- 2 = 2xy and the lines x = 3, y…

A: y2-2=2xyy2-1y=xCurves ⇒ x =y2-1y & x=3   Bounded between : y=1 , y=5 Area be given by A A =…

Q: Sketch the region enclosed by the given curves andfind its area.       y +x = 3     , y = 2  x 2  ,…

A: The given curves are x+y=3 , y=2x2 and y=14x2 , x≥0. To sketch the curve and find the area. The…

Q: Sketch the region enclosed by the given curves. y = 4/x, у %3D 16х, y = -х, 16 y y 10- 10- 8 8 6. 6.…

A: Given:

Q: Sketch the region enclosed by the given curves andfind its area.   x=y 4 ,y = √(2 - x)   ,y = 0

A: x=y4,  y=2-x,  y=0. The graph is,

Q: Find the area enclosed by the closed curve obtained by joiningthe ends of the spiralr=5θ, 0 ≤ θ ≤…

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Q: Sketch the region enclosed by the given curves andfind its area.   y= 1/4 x2 , y = 2x2 , x + y = 3…

A: Given:                              y=14x2,y=2x2x+y=3;x≥0   Sketching the region and the curves:…

Q: B- Find the area of the region bounded by y -x, y? x, and circle r = 2 By used Double integral.

A: Given: y=-x and y2=x from the above the we get x2=xx2-x=0⇒x(x-1)=0⇒x=0  and x=1

Q: 23) Find the area of plate bounded by y = x- 1, y = 3-x and y = 0.

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

A: Definition used -    The area between curves -                        A=∫ab(f(x)-g(x))dx

Q: Let R be the region bounded by the curves y=x^2 + 1 and y= 9 - x^2. What is the area of R?

A: Follow the steps.

Q: Find the area.of.. the region. R bounded by the graphs of gien equations 2. 4.= X +2 draw.and.…

A: As we know the area bounded by curves can be calculated using the definite integral, as we will…

Q: 3 = 2y and a – 15 = (y – 6)², and compute its area. Sketch the region enclosed by the curves – A =

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Q: 8 Set up surface aenerated by revolving the given. Curve about the indicated axis, an integral for…

A: y=x3, 0≤x≤2, about x-axis

Q: Sketch the region enclosed by the given curves andfind its area.       y =4 x 2  -1    , y =   cos…

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Q: Find the area bounded by the given curve and lines. y = x3,y = 8, and x = 0 %3D

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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: 9:(a): Find the area boundedby the curve y =-x, the line y = x, and the line y = 2.

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Q: 4. Sketch the region enclosed by the curves y |x| and y = x2-2. Compute the area bounded by the…

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Q: Sketch the region enclosed by the given curves andfind its area.   y =cos x , y= 2- cos x  , 0 ≤ x ≤…

A: Given: The region enclosed by the curves  : y=cos(x)y=2-cos(x)           0≤x≤2π We have to sketch…