Find the points on surface z^2=xy+4 closest to origin.

Q: Find the surface area of the portion of the half ball with a radius a which cuts off by the cylinder…

A: To Find: The surface area of the portion of the half ball with a radius a which cuts off by the…

Q: Find the area of the surface generated by revolving the curve y = /2x – x2, from x = 0.25 to x =1.7

A:

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y =x,…

A:

Q: Classify all critical points for the surface flaiy)= 2x-y-2xy.

A: We have to classify all the critical points for the surface…

Q: Find the surface area cut from the cone 2x2 + 2y2 = 5z2, z > 0, by the cylinder x2 + y2 = 2y

A: To find the surface area cut from the cone 2x2 + 2y2 = 5z2, z > 0, by the cylinder x2 + y2 = 2y

Q: Find the area of the surface generated by revolving the curve about the y-axis. y=4-x², 0≤x≤2.

A: In this question we have to find the area of the surface generated by revolving the curve about the…

Q: Find the center of mass of a thin plateof density δ = 3 bounded by the lines x = 0, y = x, and the…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.   y = 5− x, 3 ≤…

A: To find the exact area of the surface obtained by rotating the curve about the x-axis.  y = 5− x, 3…

Q: Find the area of the surface generated by revolving the curve y = sqrt(x2 + 2), 0…

A: find dy/dx and solve for ds.

Q: Find the centroid of the region cut from the first quadrant by the curve y = 1/sqrt(x + 1) and the…

A:

Q: A container with a height of 3/2 is made by rotating the curve y = 3/2x^2, Osx<1, about the axis x =…

A:

Q: Find the area of the surface obtained by rotating the curve y = 4x + 4, 0 < x< 8, about %3D the…

A: To find- Find the area of the surface obtained by rotating the curve y2 = 4x + 4, 0 ≤ x ≤ 8, about…

Q: Find the surface area for the solid of revolutic -1< x<1 about the x-axis.

A:

Q: Determine the surface area generated by revolving the curve y=-x'over the interval 3 [0, 2], about…

A: The surface area of revolution of y=fx over a,b revolved about x-axis is A=2π∫abfxdfdx2+1dx Now, we…

Q: Determine the maximum highest point (x, y,=) the surface on z = 1+ 4x + 4y- x* - y*

A:

Q: The area of the surface obtained by rotating the curve y = V9-x2, -1sxs1 about the x-axis is mit…

A: Use formula of surface area about x axis

Q: Find a unit normal to the surface x'y + 2xz = 4 at the point (2,-2,3).

A:

Q: .Find the area of the surface generated from revolving the curve y = x3 ++4 from x = 1 to x = 2…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the area of the surface generated by revolving the curve y /2x-x, 0.25 sxs1.5, about the…

A: Use surface area formula about x asis

Q: The area bounded by the parabola y = 4x2, y-axis and the lines y = 1, y = 4 is

A:

Q: Express the surface area of revolution for: x = (y4/4) + 1/(8y2), 1 ≤ y ≤ 2; x@axis

A:

Q: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square…

A:

Q: Find the Area of a Surface of Revolution. y= (x3/6)+(1/2x), 1≤x≤2

A: Given y=f(x)=x36+12x,   1≤x≤2

Q: Find the area of the surface generated by revolving the curve y = 2x -x² , 0.25 sxs0.75, about the…

A:

Q: Find the area of the surface generated by revolving the curve y = √(x2 + 2), 0 ≤x ≤ √2, about the…

A:

Q: Determine the area of the surface generated by revolving y=x³ on (0,1), about the x-axis.

A: The given curve is y=x3  on 0, 1 about x-axis. This implies that,…

Q: 9. Determine the position of the centroid of a sheet of metal formed by the curve y = 4x - x² which…

A:

Q: Find

A:

Q: The area of the surface obtained by rotating the curve y = v64-x2, -2 <x < 2 about the x-axis is

A:

Q: Find the area of the surface obtained by rotating the curve x = 3 (y + 2)3/2, 1 <y< 2, about the…

A:

Q: Find the points on the surface y2 = 4 + xz that are closest to the origin. (Enter your answers from…

A: Consider the given surface equation y2=4+xz.  The distance d between the origin 0,0,0 and any point…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 + 2x 1 < x< 1…

A:

Q: find the areas of the surfaces generated by revolvingthe curves about the given axes. x = √4y - y2,…

A:

Q: Find the area of the surface generated by revolving the curve y = - V6 sxs0, about the x-axis. 24'

A:

Q: find the area between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2         ...(1)x = y4            ...(2)

Q: Find the exact area of surface obtained by rotating the curve about the x-axis. y=sqrt5-x   3< x <…

A: consider the equation

Q: Find the area of the surface generated by revolving the curve Y = 8/x, 2 < x < 7 around the -axis.

A: The given surface is generated by y=8x,  2≤x≤7 around the x axis. The area of the surface generated…

Q: Find the Area of a Surface of Revolution. y=1/3(x3), [0,3]

A: Given, y=13x3   interval :0,3

Q: Find the area of the surface generated by revolving the curve y =2x-x, 0.5sxs1, about the x-axis.

A: To calculate the area of the surface we use the formula A=2π∫abf(x)1+((f'(x))2 dx

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2,…

A: We use the formula S=2π integration of y √(1+x'2)dy from 1 to 2

Q: Find the area of the surface generated by revolving the curve y = 2√x, 1≤x≤2, about the x-axis.

A:

Q: Find the area of the surface generated by revolving the curve: y = V4 -x, -1sxs1 about x-axis.

A: The given curve is: y=4-x2,-1≤x≤1 about x-axis. The formula of surface area=∫ydx

Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 9

A:

Q: x = 1+ 2y2, 1< x < 2 about the x-axis.

A:

Q: The area of the surface obtained by rotating the curve y = 36-x2, -6<xS6 about the x-axis is

A:

Q: Find the surface area obtained by rotating y = V9 – x2 ,-2sxs-1 9– x² -2sxs-1

A: Given,             y=9-x2 , -2≤x≤-1

Q: Find the area of the surface generated by revolving the curve y=2/x 18xs2, about the x-axis.

A:

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: Find the area of the surface generated by revolving the curve y = 3/x, 1 < x <4 about the x axis.

A: