Bart the Bear

Here are a dozen linearization problems in circuit format. The first few are simple tangent-line finding problems. These are followed by finding and using linearizations to make various approximations. Finally, differentials are used to solve problems involving the amount by which functions change when their inputs change by a small amount.

Here are a dozen related rates problems in circuit format. The problems use pre-Calculus math concepts, including the Pythagorean theorem, similar triangles, and various area and volume formulas. An answer key is also supplied (the last 6 pages).

Here are a dozen optimization (a.k.a. Max/Min) problems in circuit format. The first few involve finding local maxes and mins. Next come problems finding maxes and mins on closed intervals. Finally come the story problems! These involve geometry and trigonometry, as well as some basic economics (but really basic). An answer key is included.