Recent content by KevinMWHM

The problem: I need to come up with a formula based on Al-Khwarizmi's 6th algebraic equation; bx+c=x^2. I'm just having a definition problem that's holding me up from moving forward. The first line of his solution is to "halve the number of roots". What is meant by "number of roots"? Number of...

So, this first example, i have, w=(3x^2y^2+8xy^3)dx + (2x^3y+12x^2y^2+4y)dy I'm asked to find da such that da=w Which reminds me of a differential equation but I'm not sure what to do with it. What does the dx and dy represent?

Homework Statement data[/B] Solving differential k forms. Homework Equations I don't want to give any exact problems from my problem set. The Attempt at a Solution solution.[/B] The text I'm using, CH Edwards, is very abstract in this section and the explanation over a sped up, last class...

Part 1. If I want to solve the system; u-v = (h-a)e^-s w-u = (k-b)e^-t ae^s = be^t for a, b, u, in terms of the remaining variables using the implicit function theorem... If I want to know when I can solve, can I just say f(a, b, u) can not = 0? And if I set a, b, u, = 0 Than I get k and h...

I have an opportunity to present an extra credit project for my advanced calc class. Basically it's calc 4 with a focus on generalizing everything calc 1-3 to R^n. I've never been presented with this kind of opportunity so I'm clueless as to possibilities. I'm not looking to stun or dazzle the...

({a_n})_1^ \infty

(a_n)_1^infty

Doing some self prep for Diff EQ starting next week. Determine the decay rate of C14 which has a 1/2 life of 5230. Using e^kt as a function, I solve using k5230=ln.5 which gives the obvious answer of negative what I want. How do I know to use the reciprocal (ln2) other than to "just know" I...

lol - "miles" per hour... I know, I know... it's a decades old battle, but I think science kinda prefers metric now??just my 2 cents

I have chance to go to a less expensive school (Westfield State) 40 minutes away or a more expensive school (UMass Amherst) an hour away. I am older and can not relocate due to family/job. Westfield only offers an Economics/Math BA (which I had not thought much about). UMass has an actuary...

Homework Statement “Fun Homework Problem” assigned for extra credit... ∫ 0 to ∞ [(e^-x)-(e^-3x)]/x dx 2. Homework Equations (supplied hints) I can get an abstract answer from wolfram but it’s not how the professor wants us to do it. He gave us a couple “hints”; try to introduce...

I wrote my foil wrong foiling leaves me 1-cos^2(x)-cos(x)sin(x)+cos(x)sin(x) - sin^2(x)

prove 1-(cos(x)+sin(x))(cos(x)-sin(x))=2sin^2(x) foil out the center I get 1-cos^2(x)-cos(x)sin(x)+cos(x)sin(x)+sin^2(x) the -cos(x)sin(x)+cos(x)sin(x) cancels to 0 leaving 1-cos^2(x)-sin^2(x) then I'm lost... I know I can switch 1-cos^2(x) to sin^2(x) but that doesn't help...

Launched a model rocket with my 5 & 3 year old, have a photo of the rocket straight overhead at the approx peak. Can I figure out the distance? I know the length, and the magnification. What would the formula be?

1. x - (-6) = 12 To simplify, I want to get rid of the (-6). So wouldn't I say 2. x - (-6) +6 = 12 + 6 x = 18? The book I'm using says to add (-6) to both sides but doesn't a neg + neg still equal a neg? I've been flawless to this point, what's confusing me? The books answer 2. x...