Calculus 3 : Surface Area

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #1 : Surface Area

Find the surface area of the part of the plane  in the first octant.

Possible Answers:

Correct answer:


Lets recall the equation of surface area.

Now we need to find all the neccessary equations to be able to evaluate the integral.

We will plug in , into the plane equation in order to get a line that intersects with the z axis.

Now we are going to set , in the previous equation and solve for .

We now have all the bounds for our double integral




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