9. Use a surface integral to show that the surface area of a right circular cone of radius R and height h is RVh²+R². (Hint: Use the parametrization x=rcos0, y=rsine, z = =r, for Osr≤R and 0≤0 ≤2.)

Q: Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the…

A: We can find the answer as below.

Q: Find the area of the portion of the sphere of radius 10 (centered at the origin) that is in the cone…

A:

Q: Compute the surface area of the surface segment parametrised by x(u, v) = u² cos v, y(u, v) = u² sin…

A: Given, xu,v=u2cosv,yu,v=u2sinv,zu,v=u2where 1≤u≤3 and 0≤v≤2π To find the surface area.

Q: 2. The surface area of the surface generated by revolving the curve y = x, -1 < x<1, about the…

A:

Q: Let S be the surface of the sphere of radius 6 centered at the origin, and let F(z, y, 2) =…

A: Let S be the surface of the sphere of radius 6 centred at the origin. Let F(x,y,z) = x3zi…

Q: 4x with 0 < x< 3 about the x-axis. 3 Find the area of the surface generated by revolving the curve…

A:

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 2t, y = 9t,…

A: x= 2t, y= 9t, 0&lt;= t &lt;= 3

Q: Q4\Find the surface area of the plane z = x2 + y² from z=4 to z=9? %3D

A:

Q: 4. Find the area of the surface obtained by rotating the curve x²/3 + y>/3 = 1, 0 <y<1 about y-axis.

A: If the curve defined by the parametric equations x=x(t), y=y(t)  with a≤t≤b , is rotated about the…

Q: Find the surface area of the planez= x +y?from z=4 to z=9?

A:

Q: a) Parameterize the curve of intersection of the surfaces z = y² and x² + y² = 9 so that the…

A: Given surfaces,direction is clockwise when viewed from the above.

Q: Find the area of the surface defined by x + y + z = 1, x2 + 2y2 ≤ 1.

A:

Q: Let S be the surface given by the first octant part of the paraboloid z=4-x^2-y^2. Find the area of…

A: We need to determine the surface area of the surface bounded by the paraboloid: z=4-x2-y2 in the…

Q: The arc length of the curve y = -In (797) 121 4624 + 0-11+ In (52) 68 11-In (79) 68 0-11+In(127) 68…

A:

Q: +³ 3 y=a+t, √a ≤ t ≤ √a X || +at,

A:

Q: Explain how to set up a surface integral given that you will project the surface onto the xz-plane.

A: Let the provided surface is S and the function is f whose integral over surface S is to be find.…

Q: Calculate the surface area of the paraboloid with top radius R> 0 defined by 2 a² + y? 0< x² + y? <…

A: