Recent content by Spiralshell

Thanks for the responses. @Matterwave I had no idea and that would explain why I can't find anything about it.

So, I was thinking about how we would simplify say 2/4 -> 1/2. But without any memorization and guessing and checking how do we know if a fraction can be simplified? I was looking all over the internet and I can't seem to find anything. I am especially curious when it comes to a large...

I know the derivative to the function. I also know chain rule and the limit definition as well quotient rule, etc. So the way my professor explained is that I have to verify I can differentiate over the interval given. In this case [0,9]. So I know f'(x)=1/(2√x)-(1/3) I just don't understand...

Homework Statement So I'm doing problems where I have to verify Rolle's hypotheses. I am only having trouble with the differentiability part. My professor wants me to prove this. So for example, f(x)=√(x)-(1/3)x [0,9] Homework Equations none The Attempt at a Solution 1.) I know the...

Homework Statement Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x^2+y^2=(2x^2+2y^2-x)^2 @ (0,(1/2)) Homework Equations The Attempt at a Solution So, I don't have a problem differentiating this. Which I get...

I am in precalculus right now and I am trying to better myself as a student. I take all the notes the professor gives (which are none because all he does is solve problems from the class textbook) and from the textbook. I was wondering if anyone would mind posting their notes as perhaps an...

Everyone has to learn the basics at some point so how should they be taught? Should it be hand based calculation or is that a waste of time considering technology that grows and changes daily. And if we started with hand based calculation when should someone be introduced to computer based...

If there is no systematic way and no way of putting it into steps then you can't solve the problem by hand to begin with. How do you derive a solution to something that is underivable? simple, you don't derive anything because you can't. In that respect it would also prove Wolfram's point that...

I tried searching to see if this had been discussed before, but instead I found a lot of people using Wolfram Alpha to help with homework etc. If this has been discussed before can someone link me to the thread? I am unable to find it...

So, I am trying to understand what tangent, cosine, and sine are in practical terms e.g. if something is tangent with something else we know it is touching that something. That seems like a practical definition of tangent to me. So, then what is a sine? what is cosine? I was thinking like...

Thank you so much for the replies and the links. I can't tell you how much you guys are helping me out. Thank you!

Thanks for your response. I go to LAVC and what does SI stand for? Also, I have spent a lot of time in the math tutoring center and I continue to spend time there.

I am sort of in an odd situation or at least I think it is odd. Right now I am currently dual enrolled in precalculus and trigonometry. Trig I don't feel is difficult but I am worried that is because my professor is too easy. In short, for trig I don't feel like I am being prepped in the way I...

Thanks for your hasty replies! I really appreciate your help. I am still having trouble with: √(X)-3√(X-1)=1 //I still don't understand how to get ALL the roots, that being X=0, X=1, and X=9. How do I figure these out? I took the advice of you both and here is what I came up with...

Homework Statement SOLVE: √(X)-3√(X-1)=1 //That is SQRT(X)-CBRT(X-1)=1; where SQRT = Square root, and CBRT = Cube root. Homework Equations None that I know of... The Attempt at a Solution (I would like to note I have no idea whether I am even approaching this problem the...