HPC  Summer Assignment Hints

 

Questions and Answers

7/7/08
QUESTION: 
On number 11, the question is what number of miles is the total cost of a one-day rental the same for both rent-a-car companies? Does that include 1st 100 free miles or just the miles they charge?

ANSWER:  Yes, the total number of miles will include the 100 free miles on that case, too.

 

8/13/07
QUESTION:  On Number 26  we have an answer and the calculator supports us, but we don't know how to support it by hand.

ANSWER:  To divide complex numbers by hand, you must multiply the top and bottom of the fraction by the conjugate of the denominator.  Then FOIL on top and apply the difference of squares on the bottom. 

QUESTION:  On Number 36, does the log change to ln when you add it?

ANSWER:  No, log does not automatically change to ln when you add it.  There is a "Change of Base" property that you must use to convert from one log base to another. 

7/13/07
QUESTION: 
We were wondering how to do question 10.  We cannot remember what "Gory Land" was nor can we find it in our notes! 

ANSWER:  Absolute value inequalities were covered in section 2.8 of our notes last year, so it was fairly early in the year.  Absolute value statements are always rewritten into two cases without using the absolute value bars--a positive case and a negative case.  And when you are doing the two cases with an inequality, you have to remember to flip the inequality sign for the negative case.  GORY LAND was a mnemonic device to remember which case gets the OR (greater than G & OR) and which gets the AND (less than L & AND).  Hope that helps you locate the examples in your notes and recall the rules for them.