Recent content by matrixone

I have seen many answers to this questions on Quora, But all these talks about the process behind creating the "usable" water. In my hometown I remember people boiling rain water to get drinking water, And using rain water (stored in well) for other purposes. In that scenario ? Isn't it...

I guess i got it now. Suppose i am taking the direction of the curve y = 2x2, Then the limit is 2/5 And if i take y = 3x2, the limit is 3/10 So the limit does not exist. Am i right ?

Homework Statement There are 100 employees in an organization across five departments. The following table gives the department-wise distribution of average age, average basic pay and allowances. The gross pay of an employee is the sum of his/her basic pay and allowances. There are limited...

In the last line of the question, "Which of these is TRUE FOR ALL CONVEX SETS S & T? " And, even if for only one choice of vertices, S & T both are convex, other options can be eliminated. Right ?

Homework Statement Homework EquationsThe Attempt at a Solution Consider S = {(1,1)} and T = {(0,0)} Clearly, S and T is convex S + T = S and S - T = S So both of them are convex. So answer is (E) But i feel that the answer is too simple...and seems that i wrongly interpreted the question...

Sorry I made a typing mistake there. What I meant is as x approaches a required value(say a), (from right or left) if the function approaches a specific value (y) (or ±infinity) independent of direction in which x approaches a, then the limit of the function as x goes to a is y. If y is...

Thanks for the reference Sir. I will first learn from it and then attempt this problem.

Ya. Because the Big O notation considers the worst case scenario. Right ? Awesome! . Now i got it. Thanks. :) border of the region which is a line is boundless and that prevents A and B to be in the same region. Right ? Thanks a lot Sir :) I think i got it now :)

INDIAN STATISTICAL INSTITUTE ADMISSION TEST Why do you think limit doesn't exist?

Homework Statement Homework Equations this is the entire syllabus of the test from which i got this question. Kindly mention if this question is out of syllabus[/B] The Attempt at a Solution I don't have the idea to approach this question. In normal limits, i know that graphically it is...

Since the lines need not be of finite length, above figure is possible. there are 7 lines and 2 regions here. But the inner region is not convex as per the red points. So this proves there can be non convex regionsOr is it that "line" means infinite length and "line segment" means finite ? In...

Is there a need for that Sir ? circle equation came from 3 points and there will be values of p,q,r that satisfies it. I used the confirmed 3 roots (from which the circle equation was formed ) and from that equation itself found out the 4th root. if there were no (p,q,r) that satisfy the 4th...

I find 4 regions. Sir, but it is mentioned that the regions are formed after removing the lines. This is what confuses me. and the region have "connected components" what is there to connect if the lines are gone ?

##x^2 \geq x## and the equality is only when x=1 So in no case the sum of ##x_{n}## can exceed ##x_{n}^{2}## So B cannot be true . Am i correct Sir ? I never noticed that SIr ! thanks for pointing out ... if both the sequence contains only zeroes this is true ... So C is also eliminated...

that was optimistic choice of vertices. I solved it that way (by comparing coefficients) and yes, not too cumbersome. thanks :) I can't see any mistake in the first one sir.. : ( ...and by changing PC = A'C - x , from last two equations i am able to get an expression for x (a big one) and then...