Recent content by Sai-

I didn't even think about about absolute convergence, since ratio and root test failed. I think I can take it from here, I just got to show that it is absolutely convergent using the comparison test and then that will be it. Much Thanks!

I have the sum, $$\sum_{n=1}^{\infty} \frac{1}{n^{3}}\sin(n \pi x) \text{, where }0 \leq x \leq 1$$ I have to show that the series converges, so I'm going to use the Comparison Test. $$ \text{If }0 \leq a_n \leq b_n \text{ then}$$$$\text{If }\sum b_n \text{ converges then }\sum a_n \text{ must...

Thank you for the feed back! I dotted my original basis's with the vector that forms the plane and got 0 for both the vectors in the basis.

Thank you, I will remember those hints and tips for next time! And thanks for looking at my work, I think it is correct too; I just can't afford to miss any points on any problem, its dead week and I need all the points I can get.

Homework Statement Use Stokes' Theorem to evaluate \int\int curl \vec{F}\bullet d\vec{S} where \vec{F}(x,y,z) = <e^{z^{2}},4z-y,8xsin(y)> and S is the portion of the paraboloid z = 4-x^{2}-y^{2} above the xy plane. Homework Equations Stokes Thm:\int\int curl \vec{F}\bullet d\vec{S} =...

I set x1 = 0, so then -x2 + 2x3 = 0, so x2 = 2, x3 = -1 ... <0, 2, -1> = u I set x2 = 0, so then 3x1 + 2x3 = 0, so x1 = 2, x3 = -3 ... <2, 0, -3> = v <0, 2, -1> DOT <3, -1, 2> = 0 <2, 0, -3> DOT <3, -1, 2> = 0 So then my basis for the plane is <0, 2, -1>, <2, 0, -3>. If this is the...

Don't I just get the plane then, because <3,-1,2> DOT <x1,x2,x3> = 3x1-x2+2x3 which then is equal to 0.

Homework Statement Consider the plane 3x1-x2+2x3 = 0 in R3. Find a basis for this plane. Hint: It's not hard to find vectors in this plane. Homework Equations Plane: 3x1-x2+2x3 = 0 in R3. The Attempt at a Solution Let, A = \left[3,\right.\left.-1,\right.\left.2\right] \rightarrow...