15.5: Surface Area

Objective:
7. Use a double integral to find surface area.

[daniloenriquealvaradoherna]

Hello, can you explain, why did you put down x when you are in dy, the exercise number 1 of the video.

[danishdar]

Vector normal to the surface z=1-x^2-y^2,
Z>=0 will be

[joshuageorge]

For the definite integral with U-Sub, wouldn't you have to change the bounds for the integral?

[ruwaqatmash]

for example two of surface area why is the boud of the polar intergral not from -3 to 3 instead of 0 to 3 at 8:54

[muzzammilyousuf]

Which book do you use to find the questions or from where? it'll be a great help to practice more

[hidayatsiddiqui]

You...did in very shortcut madam..., Where all those steps gone

[minguyen]

your examples are excellent. i have a question to ask though. i don't know how to present a point in the three coordinate planes. so when you draw the figure for z=9 i get confused. i know i need to know how to draw the objects to find the interval of r as well as theta angle - yet i have no clue to draw when it relates to z-plane. can you please give me some sources (youtuve video, pdf files, ...) that teach how to do that? i have searched in the internet ever since last year but still don't get the answer. since you draw it so smoothly i would like to ask you for a favour. thank you

[ahmedmagdyelmedany]

Can we find the surface area for ellipsoid X2/a2+Y2/b2+Z2/c2=1

[johnsears]

Is it possible to analytically solve the surface area of a elliptic paraboloid? An example would be z=x^2+4y^2, or does a have to equal b in the formula for the shape to be solved by hand.

[عطاالدهامشة-عح]

Find the surface area due to the rotation of the area between f(x)=x^3 and g(x)=x

[Swish-Stories]

I dont understand how you got 4pi/3 in the end. After integrating 2 dtheta from 0 to 1, I got 2. Then integrating that I ended up with 8. What am I doing wrong?

[bruceallenbieren]

is your formula applicable to all surface area for parabolloid?

[kshitijmehta]

Regards mam, i really love your videos and explanation. Can you please also make a video for 15.8

[gouthamyadav]

hi at last two steps explain ones
video time is 6:00