05E-38) Consider a cube that can stretched in one direction while the square cross section decreases in such a way as to keep the volume constant. What is the length to side ratio if the final area divided by the original area of the cube equals the natural logarithm of pi? Answer: 3.33
05F-59) Geometry: solid of revolution: two lines y=bx and y=x, b > 1 . The area is shaded between the two lines and between x=1 and x=5. Volume = 120, b = ? Answer: 1.46 Can't think of a good way to do this on the calculator
Is there a short way to do the sequence number crunchers on the last page? examples:
.2 - (.2^2)/2 + (.2^3)/3 - (.2^4)/4
or
1/.34 + 1/[3(.34)^3] + 1/[5(.34)^5] + 1/[7(.34)^7]
or
1/.34 - 1/[3(.34)^3] + 1/[5(.34)^5] - 1/[7(.34^7]
I hate going over these tests and finding skipped problems that I can do even w/o a calculator (05F-57)
thanks