Recent content by donald1403

i think i can use "limit comparison test" but i m not sure what i should use for bn. if i use either 1/n or 1/ln(n) for bn, the limit goes to zero and since bn diverge, i can't decide on an(original term). one more questions abt absolute convergence test. assuming the series is given, not...

Homework Statement \sum_{n = 2}^{\infty} \frac{1}{n*ln(n)} I have to find whether the series absolute converge, conditionally converge or diverge?2. The attempt at a solution I used the ratio test. so, lim(n to infinity) [n*ln(n)]/[(n+1)*ln(n+1)] since ln (n+1) will be...

thanks again, Dick. I just need to make sure they use computer or calculator to calculate the sum. I sure can calculate by hand for few terms but jz wondering if there is any way to calculate. I guess I just have to depend on calculator. anyway, thanks again!

the absolute value of the 41st term would be 3.54 x 10^(-7) . but it would only mean that the sum of the series will be within 3.54 x 10^(-7). but how can i calculate the sum of the series. this is not for exam or assignment. this is just an example in the textbook. the answer is S = S40 =...

Homework Statement Approximate the sum of the alternating series \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^4} by the 40th partial sum and estimate the error in this approximation. I know how to calculute the sum of the alternating series by 4th or 5th partial sum. I don't think this problem...

arrr.. sorry to confuse you.. i got it... i guess i m jz going crazy with the test tomorrow.. anyway thanks again for your help...

so how do i write the point of intersection. can i write that in (x,y) form like (1,2) or (2,1) or I just write down that the two curves intersect when t =1 and s =2?

sorry. one more question.. i did this problem based on what you said above.. when i use the dot product, i use the derivative r1 and r2. why can't i use just r1 and r2? what would be the different? if i just plug t=1 and s=2 into r1(t) and r2(t), the angle of intersection would be different...

thanks:smile:

r1'(t) = < 1, -1, 2t> r2'(s) = <-1, 1, 2s> solving for t and s, I got t = 1 and s =2. I assume I have to put t and s into r1'(t) and r2'(t)? so, r1'(t) = < 1, -1, 1> and r2'(s) = < -1, 1, 4>. I used the dot product to find the angle between two vectors. cos∅=(<1,-1,1> ∙...

I also got s = 2 and t = 1. <<< so what is the point of intersection (1,2)?? Where do i go from here to get the angle of intersection?

yeah i mean P^6. anyway i guess that helps. so u mean if the dimension are same, they can call it isomorphic? do i have to count for one-to-one and onto? when could be the chance that Transformation is onto but not one-to-one?

Which vector spaces are isomorphic to R6? a) M 2,3 b) P6 c) C[0,6] d) M 6,1 e) P5 f) {(x1,x2,x3,0,x5,x6,x7)} I know that without showing my work, helper won't answer my question. Since i don't even where to start, all i need is an example. I don't need the complete solution for it. I...

thanks andrevdh... i got full extra credit points for that.. really appreciate it.. donald1403:smile:

http://img98.imageshack.us/my.php?image=tricyclejz7.jpg A. If you pull to the left on the rope above, which way does the tricycle initially move? B. Why? Explain your answer above. (4 key concepts) p.s for Q A, i believe the tricycle will go backward (to the right) since the rope is...