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1. Calc question

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!!!
2. 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...

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...
4. Stats Problem

OK, here is the question... its probably simple but i cant 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 have...
5. Cauchy sequences

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...
6. Formal proof I think I'm stuck!

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...
7. Real Analysis Question

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...
8. Real Analysis question

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...