Area
We need to learn to slice flat food first. After it's been de-boned, a fish such as salmon is relatively flat.If we're planning on making fish sticks (we totally are), we'll need to cut that salmon...
Integrating with Polar Coordinates
Slicing Cold PizzaFirst, let's forget about calculus and use our knowledge of fractions to answer the following question.Sample ProblemWhat is the area of the shaded region?Answer.Think of the shad...
Volumes of Solids with Known Cross-Sections
We already mentioned that slicing a solid with known cross-section is like slicing a loaf of cinnamon raisin bread. We could also think of it like we're slicing carrots for pot roast or potato slic...
Pyramids, Cones, and Spheres
Welcome to the jungle. We won't find any scrumptious sweets here, unless our jungle is in the middle of Oz. Our well-being depends on us being able to tackle finding volumes of more complicated obj...
Volume of Solids of Revolution
Solids of revolution aren't fruits thrown at tyrannical rulers in protest. A solid of revolution is a 3D object built by rotating an area around a predetermined center line called the axis of rotat...
Arc Length
We've prepared our fish by cutting it into flat rectangular portions and diced our vegetables into thin slices. We've even gone off on a tangent, playing with frisbees and toilet paper tubes. We're...