Recent content by cheezeitz

Homework Statement Two sides of a triangle have lengths a and b, and the angle between them is theta. What value of theta will maximize the triangle's area? (Hint: A=1/2absin(theta) The Attempt at a Solution I have a triangle drawn, with the base being a, and the height being b...

Homework Statement y' = csc2(\vartheta / 2 ) Find y" The Attempt at a Solution So far, i have 2 csc (\vartheta/2) *csc(\vartheta/2)cot(\vartheta/2) * 1/2 but I'm wondering, how do you take the derivative of a half angle identity? or does it just simplify down to csc2(\vartheta...

Homework Statement Let f be a function defined on an interval [a,b]. min f' <= f(b) - f(a) / b -a <= max f' where min f' and max f' refer to the mininmum and maximum values of f' on [a,b] Then the question is Using that inequality; estimate f(.1) if f'(x) = 1 / (1 + x^4 cos x) for 0 <=...

This is honestly quite perturbing, because I realized we skipped the section with the formal limit definition in it. So I never even learned the formal definition of a limit. Could someone help me work through the definition? I'm reading over the book, but I'm still having a difficult time...

I realize that, but I'm used to internet message boards where people get offended rather quickly and I'm just trying to avoid that, especially since I'm a new user. My teacher, from what I understand, is that, Limx->cf(x) = c, but when there are discontinuities within the function at x = c...

Yeah, ignore the limit. I realized that would be null for the fact of the zero in the denominator. It seems like everything in my calculus class (high school level) has taught us that it gets infinitely close to 1, aka .9 repeating. What you're saying though, is that .9r and 1 are...

Okay, I'll admit I was wrong, and that mathematically I can see where it equals one, but I'm still unsure where you would use this in real life situations. Would you be able to interchange .9~ with 1 at any given time?

Without trying to make myself sound like an idiot, I'm going to describe what my friends and I have been talking about, and I hope to gain some insight on this. I've come up with the thought, that; lim x→1+ (x+1) / (x - 1) = -∞ while lim x→1- (x+1) / (x - 1) = ∞ Now what this is telling me...