Recent content by tink

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    Parallel Tangent Line to y=(x-1)/(x+1)

    Find the equations of the tangent line to the curve y= (x-1)/(x+1) that are parallel to the line x-2y=2 help!
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    2 Differentiation Rule Questions HELP

    Ok here are the questions... 1)Find the Parabola with equation y=ax^2 +bx +c that has slope 4 at x=1, slope -8 at x=-1 and passes through the point (2,15) 2)A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabris that is sold is a function of the selling...
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    Can NHTSA Estimate Tire Failure Rates Within Budget?

    Destructive SAmpling, in which the test to determine whether an item is defective destroys the item, is generally exensive, and the high costs involved often prohibit large sample sizes. For exampl, suppose the National Highway TRaffic SAfety Administrator wishes to detrmine the proportion of...
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    Calculating Mu for Unacceptable Dye Discharge in Paint

    OK, here is the question... its probably simple but i can't figure it out. A machine used to regualte the amount of dye dispensed for mixing shades of paint can be set so that it discharges an average of mu milliliteres(mL) of dye per can of paint. The amount of dye discharged is known to...
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    Prove Cauchy Sequence: {sn} from {tn}

    Thank you SOOO much!
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    Prove Cauchy Sequence: {sn} from {tn}

    Let {an}(n goes from 1 to infinity) be a sequence. For each n define: sn=Summation(j=1 to n) of aj tn=Summation(j=1 to n) of the absolute value of aj. Prove that if {tn}(n goes from 1 to infinity) is a Cauchy sequence, then so is {sn}(n goes from 1 to infinity). I started this...
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    Calculating Arc Length in Multivariate Calculus

    that seems to be what i get too. r'(t) = 5, so when you integrate this from 0 to 1 it gives you 5 again.
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    Express g(x) as g(x) = -2x2+ 0x + 1

    the function we are originally dealing with is not the square root function, it's g(x)=1 - 2x^2. Therefore, you have to include both + and - values of g(0). If you plot the graph, it is a parabola, so will have one, two, or no roots. In this case, it has two, one positive and one negative...
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    Is AvB Equivalent to Av~~B in Logical Proofs?

    NM! I got it all on my own! Wow, I am sooo super proud right now!
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    Is AvB Equivalent to Av~~B in Logical Proofs?

    I am trying to prove that AvB (which reads "A or B") is equivalent to Av~~B (which reads "A or not not B"). My steps are wrong... I checked them out on Fitch (the program we use in class to check validity of proofs). I can't write them out in here... I don't have the right symbols ... so maybe...
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    Are (0,1) and [0,1] equivalent intervals?

    Thank you guys sooo much! I really appreciate the help... and sorry about posting this twice! I figured if I posted in two places that I'd be more likely to get a response! This forum is awesome, my new home away from home!
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    This shows that the intervals (0,1) and [0,1] are equivalent.

    Show that the intervals (0,1) and [0,1] are equivalent. (Hint: consider rationals and irrationals separately). I'm able to find a function that shows a bijection between (0,1) an [0,1] under the irrationals, but i can't figure out the rationals. Also... the next step (i believe) would be to...
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    Are (0,1) and [0,1] equivalent intervals?

    Show that the intervals (0,1) and [0,1] are equivalent. (Hint: consider rationals and irrationals separately). I'm able to find a function that shows a bijection between (0,1) an [0,1] under the irrationals, but i can't figure out the rationals. Also... the next step (i believe) would be to...
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