Rotate the region bounded by y=x - 6x+9, and y =-x +6x-1 about the line x= 4.

Q: Find the volume of the solid that results when the region enclosed by the curves y = -x and x = 2y“…

A: The two functions are as follows:                    y1=14x2y2=x2 The points of intersection are the…

Q: Sketch the region bounded by the graphs of y = x² +1 and y = x +1. Then use the method of shell to…

A: We sketch the region using a graphing calculator  The shaded region is rotating about the x=2 line…

Q: Find the volume of the solid that results when the region enclosed by the curves x =1- y? and x = 7+…

A:

Q: Find the volume of the solid that results when the region enclosed by the curves y=x², x=y² is…

A: Given:      Curves y=x2                  x=y2 Volume of solid V=∫abπfy2-gy2dy    Here fy=y…

Q: Find the volume of the solid of revolution when the region below y = x +1 and between x = 0 and x =…

A: Explained below

Q: The volume of the solid generated by revolving the region between the parabola x =y²+1 and the line…

A:

Q: Find the volume of the solid that results when the region enclosed by the curves y = x², x = y² is…

A:

Q: Find the volume of the solid that results when the region enclosed by x = - y² + 7, and x = y + 4 is…

A: We first find the y values of the intersecting points by setting the equations…

Q: Find the volume of the solid generated when the region bounded by x = - sqrt(4y) . y = 4 and x= 0 is…

A:

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

A:

Q: Find the volume of the solid of revolution formed when the area of the region bounded by y3Dx2,…

A:

Q: Find the volume of the solid generated when the region enclosed by y = sqrt(x), y = 0, and x = 49 is…

A:

Q: Find the volume of the solid generated when the region bounded by the curve (x - 5)² = 4 - y and the…

A: Given:-the region bounded byx-52=4-y  and the x-axisrevolving about the line x=2using cylindrical…

Q: Find the volume of the solid generated when the region enclosed by y = Vx + 1, y = V5x, and y 0 is…

A:

Q: Find the volume of the solid that results when the region enclosed by x = y² and x y is revolved…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Draw the region bounded by the curves f(x) = 2x2 – x³ & g(x) = 0. Then use the cylindrical shell…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by x = -3 + y? and x = -2y…

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Given curves are  4x-y=0⇒y=4xy=x2

Q: Find the volume of the solid generated when the region enclosed by y=x^3, x=1, and y=0 is revolved…

A:

Q: Use the method of rings (washers) to find the volume of the solid generated when the region bounded…

A:

Q: Find the volume of the solid that results when the region enclosed by x = y? and x = y is revolved…

A: Since there is more than one question asked , I will solve the first one.

Q: Find the volume of the solid obtained by rotating the region bounded by the curve and the x-axis on…

A: Given

Q: Find the volume of the solid generated when the region bounded by y= 9x and y 27x is revolved about…

A: Given curves are y=9x   ....1 and y=27x  ...2

Q: Use either the shell method or the disk/washer method to find the volume of the solid of revolution…

A:

Q: Use either the shell method or the disk/washer method to find the volume of the solid of revolution…

A: Let R be the region bounded above by the graph of fx, below by the x-axis, on the left by the line…

Q: Find the volume of the solid of revolution generated by rotating about x= -1, the region bounded by…

A:

Q: Use the Washer Method to find the volume of a solid generated when the region bounded by y=2-1 and…

A: I have provided solution in step 2.

Q: Find the volume of the solid obtained when the region under the curve y = x/4 – x2 from x = 0 to x =…

A: Given data:     The given expression is: y=x(4-x2)1⁄2. The given limits of x is: (a,b)=(0,2). The…

Q: find the volume of the solid generated when the region bounded by the curve (x-5)2=4-y and the…

A:

Q: Find the volume of the solid that is generated by rotating, about the x-axis, the region bounded by…

A: Please refer the attached image for complete solution.

Q: Findthe volume of the solid obtained by rotating the region bounded by the given curves. y=radicalx…

A: Given Equation y=√x ,x=4 and y=0

Q: Use the cylindrical shell method to calculate the approximate volume of the solid formed by rotating…

A: Solution: By using the cylindrical shell method we have to find the volume of solid revolution of…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: The area enclosed by y = 4x - x^2 and 2y = 2x + x^2 is revolved about the line x = -1. Using a…

A:

Q: .Find the volume of the solid generated by revolving the shaded region about the given axis. x+ 2y 2…

A:

Q: Find the volume of the solid that results when the region enclosed by x = y² and x = y is revolved…

A:

Q: . Find the volume of the solid generated by revolving the region bounded by the y = -a2 + 6x – 8 and…

A:

Q: Find the volume of the solid generated when the region bounded by x2=8y and x=2y-8 is revolved about…

A: The graph for this is as follows :

Q: 2. Find the volume of the solid generated when the region enclosed by the curve y = x² + 1, y = 4x −…

A: To find the volume of the solid generated when the region enclosed by the curves  y=x2+1 , y=4x-x2+1…

Q: Find the volume of the solid formed by revolving the region enclosed by the closed curve 4x2 +9y² =…

A:

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

A:

Q: Find the volume of the solid generated when the region bounded by y = x2and y2 = x is revolved about…

A:

Q: Find the volume of the solid obtained when the region bounded by the curves y =−x^2 + 2x + 3, y = 0…

A: Given: The curve is: y=-x2+2x+3 and y=0 Now, the point on x, when y=0 are:…

Q: Graph the region bounded by the curves y=x+2, y=x+7, x=0, and x=6  uses the washers method to find…

A: The equation of the curves are: C1: y = x+2C2: y = x+7C3: x = 0C4: x = 6 Axis of rotation: x-axis To…

Q: Find the volume of the solid generated when the region enclosed by y = sqrt(x+1), y = sqrt(5x), and…

A: The volume of the region bounded by the curves y1(x) and y2(x) is given by the formula…

Q: find the volume of the solid that results when the region enclosed by the curves x=y2 and x=y+2 are…

A: Given curves are x=y2 and x=y+2          (1) f(y)=y2 and g(y)=y+2 From (1)…

Q: Find the volume of the solid obtained when the region enclosed by the curve x=2-y² and find the x=y…

A: Draw the sketch of the given curve and lines.

Q: Find the volume of the solid generated when the region between the graphs of the equation y-1=x and…

A: Volume of the solid generated by the curves  f(x)=y=x+1 and g(x)=y=x , 0≤x≤1 is given by the formula…

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x2 + 2 and y…

A: