Calc 3 15.1 Notes: Double Integrals Over Rectangles

Objectives:
1. Define the double integral of a function of two variables.
2. Find the volume of certain solids using an iterated integral in rectangular coordinates.
Please use this link to see an interactive visual of the figure in example #5: www.math3d.org/cM71KXpZH
Ch 15 playlist: • Calculus 3 Chapter 15:...
PDF copy of the notesheets: drive.google.com/file/d/1-CKV...

[@i9r]

I love you

[@KaleabZegale-hr3km]

your voice sound is so lovely Miss

[@libusengmakoa7857]

Helo mam how do you see that the radius is 4 at 11:31

[@alexandraniedden5337]

The radius is actually 1 and the height of the cylinder is 4. As you look at the figure, the "circular" part of the cylinder goes from x = -1 to x = 1, thus giving a diameter of 2 (radius of 1). The cylinder extends along the y-axis from y = -2 to y = 2, hence a height of 4. Hope this helps!