7. Using the circular disk method, find the volume generated by revolving about the x-axis the area in the first quadrant bounded by the curves y = e*-2 and x = 4.

Q: 2. Find the volume generated by revolving about the y-axis, the area bounded by x² + y² = a² and x+y…

A: The bounded region: Green colored    To find: The volume of revolution around y-axis of the bounded…

Q: 3. Find the volume generated by revolving about the y - axis the area bounded by the curve y = sin x…

A:

Q: 3. Find the volume of the solid generated by revolving about the line x 3 the region in y = 2x - 2…

A: To find : volume from the revolution.

Q: (1) Find the volume of the solid obtained by revolving about the y-axis the region bounded by y =…

A:

Q: 2. (a) Based on the diagram 1, find the intersection points between curves y=r' and Hence, find the…

A: The point of intersection of two curves is the place where the two curves meet.y=f(x) To find the…

Q: 2. Find the volume of the solid formed by revolving the region bounded by the graphs of x = -y² +…

A: Here we have given a solid region bounded byx=-y2+4y,y=1and x=0. So bounded solid region will be…

Q: 3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A: Given

Q: The area bounded by the parabola x^2-2x+y=3, in the second quadrant about the line y=4. Find the…

A: Consider the given curve: y=-x2+2x+3 Here, the objective is to find the volume of solid formed by…

Q: 5.) Find the volume generated by revolving the area bounded by the curve y2=4x, x = 0 about the line…

A: Given area is bounded by: y2=4x and x=0. The area is revolving around the line y=4. From y2=4x we…

Q: 5. Find the volume generated by revolving the region bounded by y = 9- x2 and y = 0 about the…

A: Given: The region bounded by y=9-x2 and y=0 is revolved around x axis. Let the bounded region be R.…

Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…

A:

Q: 5. Evaluate using the circular disk method. Find the volume of the solid formed by revolving the…

A:

Q: 7. Find the volume of the solid generated by revolving about the x-axis the region in the first…

A:

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x? = 8y,…

A:

Q: 12. Find the volume of the solid that results when the region bound by x 1-y and the y-axis is…

A:

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A:

Q: 1. Find the volume generated by revolving the area bounded by the curve y = (1 – x²)² and the x–…

A:

Q: Find the volume generated by revolving about the line y – 1 = 0 the area bounded by the curve x2 =…

A:

Q: Find the volume generated by revolving the area enclosed by the curve x^2+y^2=16 about the y-axis.

A: here volume is ∫πy2dx here the limit is if we put y=0 in equation so x range from -4 to 4 so   V=…

Q: The region bounded by the curve y =x and the x-axis between x=0 and x = 1 is revolved around the…

A: It is given that, the curve y=x2 and the axis between x-0, x=1 is revolved aroud the line y=1We have…

Q: 5. Find the volume of the solid generated by revolving about y axis, the area bounded the y=(x²-4)²…

A:

Q: A solid of revolution is formed by revolving about the x - axis the region bounded by the curve y =…

A: Topic = Volume

Q: To find the volume of the solid generated by revolving the area bounded by the given curve about the…

A: The volume of the solid generated by revolving the area bounded by the curves f(x) and g(x) over the…

Q: 13. Find the volume of the solid that results when the region bound by x = V5 y2 and the y-axis from…

A:

Q: 4- Find the volume of the solid generated by revolving the region about y-axis,the region in the…

A: Draw the graphs of y=x2, x=2 and identify the region bounded by the curves. The required region is…

Q: 1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the…

A:

Q: Find the volume of the solid of revolution generated by revolving the region in the first quadrant…

A:

Q: The region bounded by y = 2x – x2, and y = 1 is revolved about: 1- The line x = 1 2- The y-axis Find…

A:

Q: Find the volume formed by revolving about the x-axis the area bounded by the curve (x + 1)^2 = 4(x -…

A: Given data:- Equation of curve, x+12=4x-1 Line, y=4

Q: Find the volume of the solid of revolution generated by revolving about the​ x-axis the region under…

A: Given: y=10x from x=10 to x=19 To find: The volume of the solid of revolution generated by revolving…

Q: 2- Find the volume of the solid generated by revolving the region bounded by parabola y = x² , below…

A:

Q: 3. Find the volume of the solid generated by revolving about the line x = 3 the region in y = 2x2 –…

A:

Q: 3. Compute the volume of the solid obtained by revolving the area between the graphs of y = x² and y…

A:

Q: 4) Find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

A: We find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

Q: A region in the first quadrant is bounded above by the curve y = cosh x, below by the curve y = sinh…

A: A region in the first quadrant is bounded above by the curve y = cosh x, below by the curve y = sinh…

Q: 1. Find the volume generated by revolving about x=1, the area bounded by y = (x²-₁)² and the x-axis.…

A: We have to find the volume generated by the given function.

Q: A solid of revolution is formed by revolving about the x- axis the region bounded by the curve y √2x…

A:

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x2 = 8y,…

A:

Q: ind the volume generated by revolving the area enclosed by the curve x²+y²=25 about the line y-8=0.

A:

Q: Find the volume generated by revolving about the y-axis the area bounded by the curve x2 = 4(x-y),…

A:

Q: 23. The region bounded by the curve 4y = x, the line x = 4 and the line y = 1, is rotated through…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³…

A: To find out the volume of revolution.

Q: b)y=x²parabola, find the volume of the object formed by rotating the tangent line drawn from point…

A:

Q: Find the volume of the solid of revolution generated by revolving about the x-axis the region under…

A:

Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

A:

Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

A:

Q: 2. Find the volume of the solid generated by revolving the area bounded by the given curve x + y =…

A: Given: x+y=6, y=3, x=0 for finding the volume, first we draw region bounded by given curve as below

Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = sec y =…

A: Here, the region bounded by the curve y=sec x, y=0  from x=-π4 to x=π4 about x-axis is:

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = |cos(÷)y, -2…

A:

Q: 2. Find the volume of the solid form by the region bounded by the curves y = 16 – x, y = 3x + 12,…

A: Volume of solid is 686.96

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.