Find the area of the surface of the half cylinder {(r,0,z): r=6, 0s0Sx, 0szs5} using a parametric description of the surface. ... Set up the integral for the surface area using the parameterization u=0 and v=z. JO du dv 0 0 (Type an exact answers, using x as needed.) The surface area is (Type an exact answer, using x as needed.)

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=…

A: y= 21+ sqrt(441−x2) between the points ​(21​,21​) and sqrt(1763)/2,43/2​; about the​ y-axis

Q: Find plane area inside polar function r 2 and outside polar function r= -2sint in thisd quurter.

A:

Q: Write an integral that will give the surface generated by the curve revolving y-axis. Evaluate the…

A:

Q: Find the relative maximum /minimum values of thefunction S(x) = -2 r+2 State where the function is…

A: Solution is given below:

Q: Find the area of the surface obtained by rotating the curve y 4V7,0 < I < 5, along the r-axis.

A:

Q: CV4-x2 Va² + yj? dydx 10. Evaluate the integral coordinates. Explain your work. by converting it to…

A:

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

A:

Q: The area of the surface obtained by rotating the curve y = 17 x +1, 0SXS 34 about the x-axis is

A: The solution are next step...

Q: Find the area of the surface. The surface with parametric equations x = u², y = uv, z = -v², 0 sus…

A: Area of parametric surface given by r(u,v) , a&lt;u&lt;b and c&lt;v&lt;d Area=∫ab∫cdru×rvdv du

Q: 18. z = 4 – x2 – y², 0<z< 3; f (x, y, z) = x² / (4 – 2) - -

A: Use polar coordinates to solve the integral

Q: Find the area of the plane z 2y + 5z = 13 cut out by the cylinder x² + y² = 9. area=

A:

Q: * = -. y = 4 y = 4, 0 < t < 1 0 <t < 1

A: Given curve is x=4t−43t3 and y=4t2, 0≤t≤1. We have to find the area of the surface obtained by…