11. The solid whose base is the region bounded by the semicircle y = V1 - x² and the x-axis, and whose cross sections through the solid perpendicular to the x-axis are squares y = /1 - x?

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 – 3y², and the…

A:

Q: 4. A metal plate, with constant density 2 gm/cm² is bounded by the curve y = x², the x – axis, and x…

A: Given: A metal plate, with constant density 2 gm/cm2  is bounded by the curve  y = x2  and x = 1…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9- x² and y = 2x +6 is…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7. Use the cylindrical system to setup the integral for the volume of the region bounded above by…

A: our solid is bounded below by the paraboloid  z=4x2+4y2 an thedbounded above by the paraboloid…

Q: 28 The region in the first quadrant bounded by y rotate about the line x = 4x2 , 3x + y = 7, and the…

A: It is given that, the first quadrant bounded by y=4x2,3x+y=7 and the y-axis is rotate about x=-4.…

Q: 2. Find the volume of the solid of revolution formed by revolving the region bounded by the graphs…

A: Given- y=x3-2x2-3x+10 , y=0, x=0, x=2 To find the volume of the solid of revolution formed by…

Q: 15 - Which of the following is the volume of the object that occurs when the region bound by the y =…

A: We first sketch the region using a graphing calculator  The shaded region is rotating about the y…

Q: 5.) Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate…

A: Above question is solved.

Q: (1 point) The volume of the solid obtained by rotating the region enclosed by y = a², y = 2x, about…

A: y=x2y=2x about line x=2 for point of intersection x2=2xx2-2x=0x(x-2)=0x=0,2

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 - 3y2, and the…

A: We have to find volume.

Q: Let R be the region bounded by the curve y = volume of the solid with base R and cross-sections…

A: given curves y=x2+1 and y=-x+3 claim- to find the volume of solid  solution graph of the curve

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: 3) Calculate the volume of a solid obtained by rotating the region bounded by: (Any method) y = x-x²…

A: To calculate the volume of the solid obtained by rotating the region bounded by below equations…

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: 5. Find the volume of the solid in the first octant bounded by the two cylinders x²+y²=4 and…

A: I am attaching image so that you understand each and every step.

Q: 2. Suppose you revolved the triangular region bound by the axes and the line 4x + 3y = 12 completely…

A:

Q: What is the volume of the solid whose 1 30 cross-sections are squares perpendicular to the x-axis…

A: Given: The region bounded by the curves are: y=x and y=x The cross-sections are squares…

Q: 22 Find the Volume of the Solid of revolution bound al by the circuit x*+y=16, aud the lineSX=0 and…

A: Equation of the circle is given as x2 +y2 = 16 x2 +y2 = 42 Where radius of the circle r is 4 unit…

Q: 2.5 Find the volume of the solid of revolution formed by rotating the area under y = 9 – x? over [0,…

A:

Q: 3. Find the volume of the solid generated by revolving the area bounded by the curve y = x' and the…

A: Topic:- application of integration

Q: 4. Obtain the volume of the solid that occur when the small side of the circle x +y =2 and the…

A: Graph of the given curves looks like this,

Q: Find the volume of the region bounded above by the paraboloid z = 9 - x2 - y2, below by the…

A:

Q: Find the volume of the region bounded above by the paraboloid z = 5 - x2 - y2 and below by the…

A:

Q: The base of a solid is the region bounded by the graphs of y = 3x,y = 6, and x = 0. The…

A: Given, The base of a solid is the region bounded by the graphs of y = 3x,y = 6, and x = 0. The…

Q: 1) Compute the volume of the solid obtained by revolving around the r-axis by 27 (ie. a full…

A: Note: Since, you have asked multiple question, we will solve the first question for you. If you want…

Q: The triangular region Ω has vertices (1, 1), (2, 0), and (2, 3).

A: My=∫12∫-x+22x-1kx2dydx

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: 12 - Which of the following is the volume of the object that occurs when the region bound by the…

A: We sketch the region using a graphing calculator  The shaded region is rotating about the y axis

Q: If the region under the graph of +++/-/1 -- y = x² + from x = 1 to x = 5 is rotated about the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: 15. Find the area of the region enclosed by the curve x = y³ – y' and the line x = 2y. (Hint: Need…

A: We are asked to find the area of the region

Q: 12 - Which of the following is the volume of the object that occurs when the region bound by the xy…

A: We sketch the region using a graphing calculator  The shaded region rotates around the y axis

Q: 4. Determine the volume of the solid obtained by rotating the region bounded by y = x² - 4x + 5, x…

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the volume of the solid whose base is the region bounded between the curve y = x³ and the…

A: As per the company policy i can answer only first question for you, More than one answer lead me…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9 – x² and y = 2x + 6 is…

A:

Q: 1. Find the volume of a solid if the area boun ded by the curve y = In x, the x-axis and the line x…

A:

Q: 6 Find the center of mass of a thin plate of constant density & covering the region in the first and…

A: Calculate center of mass for x coordinate: x=∫x=01∫y=-61+x261+x2xdydx∫x=01∫y=-61+x261+x2dydx…

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

A:

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

A:

Q: What is the volume of the solid formed when rotating the region bounded by f (x) =-x² + 7x – 12 and…

A:

Q: 10- Find the volume of the solid generated by revolving the region bounded from the left by the…

A: Solution is given below:

Q: What is the volume of the solid whose base is the interior of the parabola y2 = x from x=0 to x=4…

A: Volume of the solid obtained by revolving y=f(x) between x=x1 and x=x2 about x-axis  is,…

Q: 1/6 Find the volume of the solid obtained by rotating the region bounded by and リー2) about the line…

A: Now , we will find the  volume of the solid  obtained by rotating the region bounded by the given…

Q: 8. Find the volume of the solid that results when the area of the region enclosed by y = 2x2, x = 2,…

A:

Q: 4. Find the volume of the solid whose base is the region enclosed between the curve x = 1-y² and the…

A:

Q: Find the volume of the resulting solid of revolution of: 1. Bounded by: y = 2x, x = 0, x = 1, and…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 12.Find the volume of the solid that is bounded above by the cylinder (z=x) and below by the region…

A: Given equation of cylinder, z=x2 and the equation of parabola, y=2-x2 and the line y=x To find the…

Q: 2. Find the volume OF solid obtained by revoluing region bounded the about x- axis x2 and the the by…

A: Given that, the curve is y=x2 and the lines are x=0 and x=2. Note that, the formula for the volume…

Q: 2) Find the volume of the solid that is bounded above by the cylinder z = x and below by the region…

A:

Q: results when the region in the first quadrant bounded by the curve x2 + y2 = 82 from x = 3.4 to x =…

A: To find surface area.