my apologizes for resurecting this old thread, but this concept has confused me for much of my high school and undergraduate years!
i've browsed dozens of pf threads and this one has the best answer!
I am having trouble conceptualizing a calculus optimization problem.
I can find the answer to the problem by using the procedure but i am quite uncertain of how the equations match up with what's actually going on in the situation!
Problem: What is the max length of widthless rigid pole that...
yeah the exponent rules that we learn in elementary rules (but those were for numbers, not functions), so i was wondering when you can use them and if they ever cause any restrictions.
what are the restrictions (if any) on y=1/x^(-2)?
is it equal to just x^2 so no restrictions or what
it is have hole at x=0?
or do you change too all positive exponents before looking at restrictions?
what exactly are the exponents rules that govern this stuff
so confused
is a point only considered an inflection point if a tangent (whether vertical or not) exists or just whether just that f(c) is continuous suffices.
For instance, is a cusp/corner point eligible for being inflection?
It seems that my textbooks (stewart vs thomas) have conflicting info (as...
srry if this post is in the wrong section but i was wondering if there are actually precise and universally agreeable definitions of the following terms of calculus. Different textbooks even give contrary definitions. Any help is appreciated thanks.
increasing/decreasing = strictly...
I think i finally understand my horrible textbook! i think ...
The textbook always mixes up work by a single force (e.g. applied) and net without any warning whatsoever.
In the example of work done to an object by raising it vertically a constant speed, it implies individual work (effort of...
3) you are correct, i forgot about centripetal motion.
2) in example two, i meant total work on object (not applied work by person). because the object has no acceleration and thus no net force, there is also no net work.
Individual work however i think is nonzero (such as the work needed by...
so on this note (and to clear up things once and for all):
1) if the object has zero displacement, all work (net and individual) are all zero
2) if displacement is nonzero and velocity is constant: net work is zero because net force is zero (but individual work can be non zero e.g...
k that clears it up alot! thanks!
our crappy textbook never actually defines individual work done on object by a force and net work. this always made the lifting objects vertically questions so confusing!
I never seemed to wrapped my head around the concept of zero work when carrying an object horizontally.
I understand that work is a transfer of energy to an object when it is displaced by a force.
Why is the work zero when you say carry a sandbag horizontally? Yes, your lifting force...