Recent content by mathkillsalot

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    Adding and subtracting vectors in component form

    Homework Statement A = 2i + 3j B = -5i + 6j Calculate (draw vector diagram) A + B A - B Homework Equations actually we're just confused as to whether we need to use the angles to answer this or just answer it directly, meaning that for A + B the answer would be -3i + 9j The...
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    Domination property of integrals

    hmm...I'm sorry, I don't really get how that could help, could you please elaborate?? :)) I'm not really good at this
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    Domination property of integrals

    I meant the second one :)) x+8 under the sqrt sign okaaay. Wait, I'll try to use the solution you suggested. Not quite sure if I can do it, thanks for the help :))
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    Domination property of integrals

    Homework Statement prove that 2√2 <= ∫(from 0 to 1) (√x+8) dx <= 3 Homework Equations The Attempt at a Solution well...my only idea on how to solve this would be to evaluate the middle term, but my prof says it's not allowed. Do I just assign functions to the left and right...
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    Discontinuous functions f and g where f+g or fg is continuous at c

    yes yes, but using the solution you just presented really never crossed my mind and I am sorry about that. Could've saved me some time... Lesson learned, next time I'll...experiment on everything :))) thank you dude!(if you are a dude) you are awesome XDDD
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    Discontinuous functions f and g where f+g or fg is continuous at c

    oh wow. good god that never crossed my mind... TT_TT awesome answer to the problem was so caught up with the form lim f(x) = f(a) x -> a thankyou :)))))
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    Discontinuous functions f and g where f+g or fg is continuous at c

    thank you :)) now I just pray that my prof will accept this answer
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    Undergrad Can an interval with all positive functions of x be proven?

    thankyou :)) and I just requested (chroot?) to change my username... hahaha
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    Discontinuous functions f and g where f+g or fg is continuous at c

    what I mean is, how can we evaluate the one-sided limits if it's x=0 or x=/=0?? i really can't make it continuous at f+g and fg at the same time, I am using f(x) = 1 ; x>=0 =-1 ; x<0 g(x) = |2| = 2 ; x>=0 = -2 ; x<0 I just made the conditions either x>=0 or x<0 so that I could...
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    Discontinuous functions f and g where f+g or fg is continuous at c

    i mean, the limit doesn't approach 0. it actually is(or isn't) 0
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    Discontinuous functions f and g where f+g or fg is continuous at c

    but wait, I'm sort of confused as to how I do this. How do I verify that the limit exists if it's x=0 or x(is unequal to)0 in: lim f(x) = f(0) x -> 0 and, how do I add and multiply? Do I choose f(0) or f(x)??
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    Help to prove that an interval will lead to positive functions?

    no no i don't. I think I did post this question twice though. Didn't see the forum for homework at first. though if you're talking about goodheavens, that person might be someone from the same school as me
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    Discontinuous functions f and g where f+g or fg is continuous at c

    i used the piecewise function: f(x) = x^2 + 2 ; x<0 x^1/2 + 1 ; x>=0 g(x) = -3+x ; x<0 x-2 ; x>=0 they should be continuous at f+g (if I didn't do anything wrong), but I'm still working on fg
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    Discontinuous functions f and g where f+g or fg is continuous at c

    okay, I've tried...am I right in using trial and error for this though??
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    Help to prove that an interval will lead to positive functions?

    here's the gist of it :)) i posted the wrong one a while ago, sorry http://www.cut-the-knot.org/fta/brodie.shtml