7. Find the volume of the solid under the surface 1 = 3x+ 2y? above 1 < x < 3, 0 < y < 6 using a double integral.

Q: The area bounded by y=3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Consider

Q: Find the volume of the solid generated by revolving about the line y =-1 the region above the X-axis…

A: Here, for x = -1 to x = 0,  Area is bounded by  the curves 2y = x + 3  and  y2 = - x

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: use a double integral to find the volume of the indicated solid.

A:

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

A: First of all for calculating the volume of the solid revolving around any particular axis, graph…

Q: what is the volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0 is…

A:

Q: In what option is the definite integral that calculates the volume of the rotating body formed by…

A: Given, y=e4x, y=4 , y-axis is region  it is rotating around the x=(ln2)/2 parallel to y-axis. so…

Q: 8 Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

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: The volume of the solid obtained by rotating the region enclosed by 5x y = e° + 5, y = 0, x = 0, x =…

A:

Q: The area bounded by y =3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Solve the following

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: II. SET UP an iterated double integral that will give the volume of the solid bounded by 3x + 2y +…

A:

Q: 8. Use a triple integral to find the volume of the solid shown z=1-y y=Vx-

A:

Q: 7) Suppose that y, =sinx and y, = cos x on [0,4] %3D Find the volume if the region between y, and y,…

A: First we sketch the region using a graphing calculator The shaded region is rotating about the x…

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

A:

Q: Use double integrals to determine the volume of the given solid limited by the following surfaces:…

A:

Q: The area bounded by y=3Vx and 2y= 3x is revolved about the x-axis. Using cylindrical shell method,…

A: Using cylindrical shell method.

Q: give the integral of volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0…

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: 5. Find the volume of the solid form by the region bounded by the curves y = 12 – 4x, y = 8x 12, is…

A:

Q: 3. Determine the volume of the solid obtained by rotating the region bounded by y = 2vx – 1 and y =…

A: Note: according to our guidelines we can answer only third question because student asked that…

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and…

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line…

Q: 3-Find the volume of the solid obtained by rotating the region bounded by y=2x+1, x=4 and y=3 about…

A: .

Q: The area bounded by y=3Vx and 2y =3x is revolved about the y-axis. Using circular ring method, set…

A: This question can be solved using the concept of circular ring method.

Q: The volume of the solid obtained by rotating the region enclosed by 1 x² y = with limits of…

A: We have to find the volume of the solid.

Q: please set up the integral and find the volume. thankyou

A: The equation of cone with x axis as the axis of cone, is x2=y2+z2, |x|≤1 It is bounded by the planes…

Q: 2°) Write the volume integral of the solid bounded by 2 = √ x² + y²² and Z= √2-x²_y2¹, in a)…

A:

Q: Find the volume of the solid formed by y = 4 sin(x) bounded by x = 0 revolved about the x axis on…

A: We have to find the volume of the solid formed by y=4sinx bounded by x=0 revolved about the x axis…

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

A:

Q: 4. Use double integral to find the volume of the solid enclosed by the following curves y = x and by…

A: Given that the solid is enclosed by curves y=x2 and by planes y+z=4 and z=0. It is required to find…

Q: Compute the volume of the solid of revolution obtained by rotating the region bounded by y| = 5x, x…

A:

Q: Set up the integral that gives the volume of the solid enclosed between the curves y=1/2x, x =2, x=4…

A:

Q: 2. Give and evaluate a triple integral describing the volume in the first octant below the cone z =…

A: Given: Given the region in the first octant below the cone z=x2+y2 and above the paraboloid z=x2+y2…

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z =…

A: To determine :                The volume of the solid bounded by the graphs of:   z= 2xy,…

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

A:

Q: 8. Show that the volume of a cone with height h and radius a equalsa²h using 3 h iterated integrals…

A: Relation between cylindrical and cartesian coordinates system . x=rcosθ , y=rsinθ , z = z, r =x2 +…

Q: Use a double integral to find the volume of the indicated solid. z = 6 – x2 – y2 -1 < x < 1 -1 < ys…

A: The function is z=6-x2-y2 over -1≤x≤1 and -1≤y≤1.   Set up the integral.…

Q: 1. Set up the integral (but do not evaluate) to find the volume of the solid obtained by rotating…

A:

Q: Use a double integral to find the volume of the indicated solid. z = 8-2y 2 y=2

A: The expression for the volume as double integral is: V=∬zdydx From the given equation: z=8-2y

Q: 2) 2. Use a double integral to find the volume of the indicated solid. 4. z = 4 – X – y 31 y=2 X=6

A:

Q: How would I establish the volume of the given solid? Under the paraboloid z=3x2 +y2 and above the…

A:

Q: 2. Set up the integral(s) for finding the volume of the solid of revolution obtained by rotating…

A: We will find out the required volume of solid of revolution.

Q: The region bounded by the curves y = x² – 2x and y = 4x is revolved about the line y = -1. Which…

A: The given curve is y=x2-2x and y=4x. Now, find the intersection point of these two curves.…

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: 4. Find the volume of the solid generated by revolving the region bounded by the curves y = 2-x² and…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

Q: The solid obtained by rotating the region bounded by the curves y = 2x and y = 3x between x =D0 and…

A:

Q: 4. Set up the integral for finding the volume of the solid obtained by rotating the shaded region…

A: Given:    x = y2 - 4y     x = 2y - y2     Rotated over y = -2

Q: The area bounded by y=3x and 2y=x is revolved about the x-axis. Using cylindrical shell method, set…

A:

Q: The area bounded by y=3Vx and 2y=3x is revolved about the y-axis. Using circular ring method, set up…

A:

Q: Use a triple integral to find the volume of the solid shown in the figure. z = 16 – x2 - y2 130 10…

A: