
Recent Posts
Archives
Blogroll
Programmer Stuff
Biology
Physics
Categories
Meta
Advertisements
1. Remember for a curve , we have maxima and minima occur whenever (1) What’s the multivariable analog to this notion? Advertisements
1. Some critics may sneer calculus is useless. Oh yeah? Well, we can solve this problem: Question: The velociraptor spots you away and attacks, accelerating at from a stand start, up to its top speed of . When it spots … Continue reading
Definition. Let be a function. Then a “Local Minima” is a point such that for any in some open interval containing . Likewise a “local maxima” is a point which has for every in some open interval containing . First … Continue reading
We have a string of length . It does not stretch. But we want to form a rectangle using this string as its boundary. Moreover we want this rectangle’s area is maximized. What to do? (Spoiler alert: solution below!)
Briefly, we consider the problem when a tangent line to a curve has zero slope. That is, the derivative of the curve is zero at some point. Such a point is called a “critical point” and tells us about extreme … Continue reading