O R is the region bounded by y = 2 – x² and y = x² – 6. - %3D

Q: find the region bounded by x= Y-y3 ,X=1 = 1 Y=L, revolved about o X- axis

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: D Evaluate xy dady where D is Hie region bounded x=0, y=0, and x+y= ! by

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Q: Evaluate y'dx+ xydy where C is the boundary of the region bounded by y = Vx.y 0, and x 9.

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Q: Evaluate dA where R is the region given by 0sxs 1, 0s y s 1.

A: The question is taken from the calculus in which we have to find the double integral value  so We…

Q: Sketch the bounded region enclosed by y=e^5x, y=e^6x and x=1. Decide whether to integrate with…

A: Sketch the bounded region enclosed by y=e^5x, y=e^6x and x=1. Decide whether to integrate with…

Q: Evaluate (2r+y) dV _ where V is closed region bounded by the z= 4>x and the planes x = 0, y = 0 and…

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Q: Find the area of the region bounded by graphs of the two curves

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Q: 2/ Find the area of the region enclosed by the curves y=lx) and 0on the interven-4] A3 B. D, IS

A: Given: Area enclosed by y=|x| and y=0 on the interval [-1,4]

Q: Sketch the region enclosed by 2y = 5/ã, y = 4, and 2y + 2x = 7. Decide whether to integrate with…

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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: Evaluate the moment M, and M, of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

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Q: Evaluate || 5x cos y'dxdy where S is the region bounded by y = 2 and 1 x and the y-axis. 4 y =

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Q: Q2) Find the area of the region bounded by the (y=V4+x ), (y;=2-x) & ( y;=1).

A: Double integral is used to integrate the function of two variable over two-dimensional region.…

Q: Sketch the region enclosed by y=e^3x ,y=e^8x, and x=1. Decide whether to integrate with respect to x…

A: The given two curves and horizontal line

Q: Evaluate the moment M, and M,y of the region bounded by y = 2x+ 1, x + y = 7 and x = 8.

A: fx = y = 2x+1gx= y = 7-x      Mx=12∫LLULfx2-gx2dx               Moment about x-axisMy=∫LLULxfx-gxdx…

Q: The region between the graphs of y=x^2  and  y=3x is rotated around the line x=3 The volume of the…

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Q: Sketch the region enclosed by the given curves. y = Vx, y =x, 0 SxS9 2 8

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

Q: R is the region bounded by y = 4 – x2 and the x-axis and it is revolved about y = 4.

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Q: Se Si (x² + y² ) dxdy where the bounds is defined by the region shown below: y = 3 de dr y = /9 – x2…

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Q: Evaluate the moment M, and My of the region bounded by x = 2y – y² and the y=axis.

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

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Q: SI xyz dW, B is region bounded by two cylinders, wwwm w В x^2 + y^2 = 16, x^2 + z^2 = 16, and the…

A: Consider the given volume of the two intersecting cylinders given by  x2+y2=16 andx2+z2=16  as shown…

Q: Calculate (2x + y) dxdy, Where R is a region bounded x=y"-1,x-3, y= -1 and y= 2 R

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Q: 3. Find f 6y(x + 6) dà where D is the region bounded by x = - -y? and x = y - 6.

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Q: Calculate (2x + y) dxdy, Where R is a region bounded x=y-1,x=3,y=-1 and y=2 R

A: The double integral is of the form ∫ab∫g(x)h(x)f(x,y) dxdy  or ∫cd∫g(y)h(y)f(x,y) dydx To solve the…

Q: 2- Find D xyz dV where D is the region with -1 ≤x≤1, x ≤ y ≤ 1, above z = x, and below z = y + 2.

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Q: Sketch the bounded region enclosed by y=e^4x,y=e^9x and x=1. Decide whether to integrate with…

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Q: ]]] xyz dV if S is the region bounded above by x² + y² +2²= 16 and below the S cone 2 = √² + y² with…

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Q: Find the area of the region bounded by x²y = 1, y = x and y = 4.

A: To find the area of the region bounded by x2y=1, y=x and x=4.

Q: Evaluate the moment M, and M, of the region bounded by x = 2y - y2 and the y=axis.

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Q: ) Evaluate Sxy dx dy R is the region bounded by x =0, x =2, y = x

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Q: Evaluate |// e-V where E is the region between two cylinders z + = 4 and r +=9 with 1< y55 and : <0…

A: We will find out the required value.

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: Find the area of the region bounded by the parabola x = 4y – y? and the line x = 2y – 3. %3D

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Q: nd the volume of the solid generated when the region bounded by y = x² - x d y = x – x² is revolved…

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Q: Evaluate the moment My and My of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

A: evaluate the moment Mx and My of the region bounded by y=2x+1 , x+y=7 , x=8

Q: Integrate f(x, y) = x over the region D bounded by y = x2 and y = 6x + 7 x dA 1152

A: According to the given information, it is required to integrate the function f(x,y) over region D.

Q: 4. Evaluate f, 2ry dA, where R is the region bounded by y i and

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Q: Sketch the region enclosed by 2y = 5Vx, y = 4, and 2y + 2x = 7. %3D Decide whether to integrate with…

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Q: Q/ Evaluate (1Ox²y³-6 dA of D where D is the region bounded by : x = -2y? and x = y3.

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Q: Find the area of the region bounded by y = Vx- 5 and x – 3y = 3. O 1 9. O 1

A: We have to find solution

Q: Evaluate where D is the region bounded by the semicircle x = /4– y² and the y-axis.

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Q: SR(xy)dA where R is the region bounded by x=0, y=2x+1 and y=-2x+9.

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Q: y=Va+ 2 -1 21 y = 0

A: This question is based on application of integration.

Q: 3. Sketch the region R defined by 0 <y < 8, ty <¤ < y!/3, then integrate dædy R

A: The region R is defined by 0≤y≤8, y4≤x≤y13the figure of R is

Q: Sketch the region enclosed by y=e^4x, y=e^9x , and x=1x=1. Decide whether to integrate with respect…

A: Given:   y=e^4x, y=e^9x   x = 1

Q: Find the area of the region R bounded by y2=a2−ax, y=a+x.

A: Consider the given curves Let sides of the equations are the same. Equate right sides, The limit…

Q: Find the area of the region bounded by y=x2, y=1, and x=0 revolved around x=2 using both the shell…

A: Shell method: Let a cylindrical shell which is at distance x from the y-axis, having thickness dx,…

Q: Calculate S (2x + y) dxdy, Where R is a region bounded x=y"-1,x=3,y=-1 and y=2 R.

A: It is Given that, x varies from y2-1 to 3 and y varies from -1 to 3. To evaluate the integral,…

Q: Find the area of the region bounded by the given curves. y = 1/x, y = x2, y = 0, x = e

A: Given curves, y=1x, y=x2, y=0 x=e