Recent content by RidiculousName

Hello everyone, I want to find better math note taking software because I am a slow writer and my handwriting is very poor. It is difficult for me to keep up with professors when they are quickly jotting down equations in class. I will take Calculus 2 next semester and I am worried about how I...

Thank you, I apologize for the mix-up about how f(7) isn't defined. I mentioned I have already discovered $f(x)\ =\ \frac{x^2-11x+28}{x-7}\ =\ \frac{(x-7)(x-4)}{x-7}\ =\ x-4$. I was asking if there was a way I could've known that my prior process of doing $\frac{x^2-11x+28}{x-7}$ wouldn't work...

I recently had to find what $$f(7)$$ equals if $$f(x) = \frac{x^2-11x+28}{x-7}$$. I first tried $$\frac{x^2-11x+28}{x-7} \cdot \frac{x+7}{x+7}$$, and it seemed like a perfect fit since I eventually got to $$\frac{x^2(x-4)-49(x+4)}{x^2-49}=(x-4)(x+4)$$, but that gave me $$f(7)=33$$, instead of...

I've heard that Fortune's Algorithm is the fastest algorithm yet found to generate a voronoi diagram. I am far from being able to understand it, but I got interested in it because I want to learn about procedural generation. My question is, what sort of mathematics would I have to be familiar...

Well, I know the definition of $\tan^{-1}$ is, $\tan\theta = y$, and $\frac{-\pi}{2} < \theta < \frac{\pi}{2}$. I forget exactly what the definition of inverse sine and cosine were, but I think the second half of sine was $\frac{-\pi}{2} \leq \theta \leq \frac{\pi}{2}$, and for cosine it was...

I have the statement $$\sin[\sin^{-1}(x)] = x \hspace{7pt} if -1 \leq x \leq 1$$. How can I tell if plugging in x will return x for $$\cos[\cos^{-1}(x)] $$ and $$\tan[\tan^{-1}(x)] $$? What if the positions of the regular and inverse functions were reversed? For example, $$\cos^{-1}[\cos(x)]$$...

Thank you, but I don't understand how that answers my question.

I am trying to figure out how to solve this equation. I have a car with tires of diameter 28", and they rotate 10,000 times. How far did I travel? According to my textbook it's 13.9 miles. I can figure it out by finding the circumference of the tire (87.96"), multiplying that by 10,000...

I was wondering if anyone could point me to a set of rules for finding the base of an exponential function? I can figure out that the base of $$f(x)=7^x$$ is 7 and the base of $$f(x)=3^{2x}$$ is 9 but even though I know $$f(x)=8^{\frac{4}{3}x}$$ has a base of 16, I don't know how that answer was...

So, since the coefficient of the squared root is positive, I can tell it's $$(\infty,0)\cup(5,\infty)$$?

$$ x^2-5x>0 $$ becomes $$x(x-5)>0$$ or $$x^2>5x$$ depending on what I do. I'm just not sure where to take it after that.

I just asked a similar question, but I got help for that one, and now I am stumped again. I need to find the domain for $$f(x) = ln(x^2-5x)$$ What's confusing me is how to deal with the exponent. I can't think of a way to get around it.

It looks like I'll need to get help from my professor with this one. Thank you anyway. I'm just really having a hard time understanding what you're saying. Also, it seems like you're going over a method that relies on the factors of the roots being raised to odd exponents, which, I think, isn't...

Whoops! Thank you, I had gotten the answer from my professor beforehand. There should be a way to figure out the problem without using an inequality though. That is what I am trying to understand how to use. I know it involves a number-line and, it seems like, you guess at possible values for x...

8 - 2x > 0 -2x > 8 x > 8/-2 x > -4 so the domain is (-$$\infty$$, 4) I'm trying to figure out how to do it via the number-line method though. I need to do it that way because otherwise I can't find the domain of stuff like, $$y = ln\frac{x - 1}{(x - 3)(x + 5)}[/math]