9. Find the area of the lateral surface of the cone of radius 4, height 9, obtained by reloving the curve 4 y ==x, 0≤x≤ 9 around the z-axis.

Q: Find the surface generated when the curve y=((1/4)x^2)-((1/2)lnx), 1< X < 2 is rotated about the…

A: The given curve equation is, y=14x2-12lnx in interval 1&lt;x&lt;2 about the y-axis. Surface about…

Q: Use the integral table and a calculator to find to two decimal places the area of the surface…

A: Consider the given equation of the curve y = x2,  -1 ≤ x ≤ 1.The surface area of the surface…

Q: Find the area of the surface obtained by rotating the curve y= 1+3 x^2 from x=0 to x = 9 about the…

A: We know that if x=f(y) , a≤y≤b, then the surface area of the solid of revolution about y axis is -…

Q: Find the aoea of surtace genesated by se volving the icu8ve どラスラ! about y-auis.

A: Given data: The curve is given by, The given limits is,

Q: What is the total length of the curve of intersection of the surfaces x2 + y2 + z2 = 4 and y2 + 2z2…

A:

Q: Find the average distance from the origin of a point between the two spheres x ^ 2 + y ^ 2 + z ^ 2 =…

A: We have to find average distance from origin of a point between the two given spheres.

Q: 3. Find the length of the curve y = x – In x, 1<x < 4. 1. Find the area of the surface obtained by…

A: The solution is given as follows

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line (y…

A:

Q: What is the shortest distance from the surface xy+3x+z^2=12 to the origin?

A: Let (x ,y, z) any point on surface. We have to minimize function f(x,y,z) = x2 + y2 + z2 under…