Recent content by Titans86

It is still unclear to me where to go from here. What should I be differentiating with respects to? Regards, Adam

Of course! Thank you for the quick reply. Regards, Adam

Homework Statement F = [−y^3, x^3], C the circle x^2 + y^2 = 25 Book gives answer as Pi*1875*1/2, I get Pi*1875 The Attempt at a Solution \int\int(3x^2 + 3y^2)dxdy \int\int(75(cos^2\vartheta + sin^2\vartheta))rdrd\vartheta 75\int[1/2 r^2]^{5}_{0}d\vartheta...

Can I use this logic? Homework Statement I'm wondering if I can use this kind of logic to solve: \sum\frac{(n+1)^n}{n^{(n+1)}} Converges or diverges The Attempt at a Solution \frac{(n+1)^n}{n^{(n+1)}} \geq \frac{(n)^n}{n^{(n+1)}} And \frac{(n)^n}{n^{(n+1)}} = n ...

you mean there can be more then one particular solution?

Homework Statement \frac{dy}{dx} = \sqrt{xy^3} , y(0) = 4 The Attempt at a Solution So; \frac{dy}{dx} = x^{\frac{1}{2}}y^{\frac{3}{2}} \Rightarrow \int y^{-\frac{3}{2}}dy = \int x^{\frac{1}{2}}dx \Rightarrow -2y^{-\frac{1}{2}} = \frac{2}{3}x^{\frac{3}{2}} + C \Rightarrow...

not matrices but polynomials...

Can I make this general statement? A^{n}(B+C)^{n} = (AB+AC)^{n} ?

^ if they are both hitting a third body then yes, the net resultant will be greater (approx 30). But I'm not sure how the fluid dynamics would work with the two streams hitting each other, for some reason i doubt there will be an increase in the waters velocity...

Ah, I see what's going on... I was differentiating e^{cos^{2}x} which was giving me something else...

hmm... I'm sorry but I still don't see it... The book then substitutes pi/2 into the F'(x) that I wrote above and ends it there... the final answer is -1...

Homework Statement The question: F'(\pi/2) if F(X)= \int^{cosx}_{0} e^{t^{2}}The Attempt at a Solution I thought I thought F'(X) = f(t) = e^{t^{2}} replacing t with cos^{2}x But my book writes: F'(x) = (-sinx)e^{cos^{2}x}

I plotted it through my Ti and two different curves resulted... edit: ah yes, the absolute would resolve it... (my algebra is so poor...)

follow up question if I may... (I tried using this simplification to my demise) I have \sqrt{1+\frac{1}{x^{2}}} I tried he trick and got \left(\frac{1}{x}\right)\sqrt{x^{2}+1} Yet it doesn't match... where did I go wrong? Also, I need to be worrying about the +- when I do these...

Bah, So elementary. Thanks guys!