Possible errors in the ch 7 of PR's "Cracking..." (4 ed)
Posted: Tue Aug 31, 2010 10:49 pm
Hi,
I just finished working on the problems on the chapter 7 (Additional Topics) of The Princeton Review's "Cracking..." book (4th edition), and maybe it is possible that I am wrong, but I think I found a few typos in this set of problems. So I was wondering if anybody who owns this book could check if what I have are the honest-to-god typos.
(Please keep in mind that some of these might be my errors, and if that's the case, please let me know because that would be very helpful!)
#21: I don't think A or (B and C) is equivalent of saying (A and B) or (A and C) (which gives two right answers on this problem).
#22: I'm not fully convinced why Graph I and Graph II are not isomorphic. Can't we have vertices like A<-->E, B<-->G, C<-->F, and D<-->H, and place the edges similarly? (i.e. AB <--> EG, BC <-->GF, CD <--> FH)
#26: v(x, y) given in the problem doesn't look harmonic to me, and there is a different function on the solution (which looks harmonic).
#27: The third term of the fifth line of pg. 398 (the solution of this problem) should look lim_{z \to -i} [(z+1)/(z+3)(z-i)] instead of lim_{z \to -i} [(z+1)/(z+3)(z^2-i)]. I also didn't get the answer they had in the option.
#32: On the solution, I should get 64/4 + 8c instead of 64/4 + 6c. I also didn't get the answer they had in the option.
#38: Why does P(X \leq 2) = [(3^2-2)/3^2], and something similar for P(Y \leq 2)?
#44: No, you can't flip a fair coin 10 times and expect to get 40-50 heads. Change this to 100 (as in solution).
#46: Again, different answer in the solution than what is given in the option.
Thanks!
PP
I just finished working on the problems on the chapter 7 (Additional Topics) of The Princeton Review's "Cracking..." book (4th edition), and maybe it is possible that I am wrong, but I think I found a few typos in this set of problems. So I was wondering if anybody who owns this book could check if what I have are the honest-to-god typos.
(Please keep in mind that some of these might be my errors, and if that's the case, please let me know because that would be very helpful!)
#21: I don't think A or (B and C) is equivalent of saying (A and B) or (A and C) (which gives two right answers on this problem).
#22: I'm not fully convinced why Graph I and Graph II are not isomorphic. Can't we have vertices like A<-->E, B<-->G, C<-->F, and D<-->H, and place the edges similarly? (i.e. AB <--> EG, BC <-->GF, CD <--> FH)
#26: v(x, y) given in the problem doesn't look harmonic to me, and there is a different function on the solution (which looks harmonic).
#27: The third term of the fifth line of pg. 398 (the solution of this problem) should look lim_{z \to -i} [(z+1)/(z+3)(z-i)] instead of lim_{z \to -i} [(z+1)/(z+3)(z^2-i)]. I also didn't get the answer they had in the option.
#32: On the solution, I should get 64/4 + 8c instead of 64/4 + 6c. I also didn't get the answer they had in the option.
#38: Why does P(X \leq 2) = [(3^2-2)/3^2], and something similar for P(Y \leq 2)?
#44: No, you can't flip a fair coin 10 times and expect to get 40-50 heads. Change this to 100 (as in solution).
#46: Again, different answer in the solution than what is given in the option.
Thanks!
PP