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Math in the real world
- Watch the blog posts for links and additional information about mathematics in the real world as shown on the program.
11 comments:
Hi, I am in Math 50 and we are supposed to factor by grouping. I dont understand what we are supposed to group. This is one I am supposed to do. 6 x^2 + x - 35. Thank you.
4x^3 - 8x^2 + 5x - 1 divided by 2x - 1. I need to do it using both long division and synthetic division. Please help!
We did the division problem today on the program. If you missed it you can watch it once the program is archived onto our website: www.collegemathline.com
Hello, I'm in math 115 and we're supposed to prove that:
arctan(x) + arctan(1/x) = pi/2
for x > 0
thanks!
-Chris
Chris, we did this problem on the program today, although my first attempt at it wasn't a good route to go. Later in the program we used a better method to do it.
I have to solve the equation 3 x squared = 6x + 1 by completing the square, can u help?
I'm trying to prove the derivative of an inverse hyperbolic function. My textbook just gives what it should be, but doesn't really give justification. I want to show that the derivative of arcsinh x= 1/sqrt(x^2 +1) . Another piece of information the text gives is that arcsinh x = ln(x + sqrt(x^2+1)). I also don't see how that is derived. If I could prove that, it's almost trivial, I just don't see how that is done. Thanks.
We did derive the inverse sinh function on the program today, if you missed it you can view it online once the episode is uploaded to www.collegemathline.com. The derivative does follow once you get the correct inverse function, although it does require some algebraic simplification. That was a good question, thanks for that one.
Use Stokes' Theorem to compute "double integral sign" curlF DS, where F(x,y,z)= {yz^2, xz,y^2e^xz} with the portion of the paraboloid z=x^2+y^2 that lies inside the cylinder x^2+y^2=4. Use the upward orientation for S.
D'oh! We did the problem on the air today but I made an error. For some unknown reason I wrote "z=4" but then in the parametric equations for C I used "z=2." That 2 should be a 4, and that changes the integral a little. The answer should be -48pi rather than -8pi. Sorry about that!
Nice screen name, ha.
Is Dan Single?
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