### Optional Supplementary Study Problems for exam 4

Old Final Exams:

- Spring 95: #9
- Fall 95: #1
- Fall 96: #3,9,10,15
- Spring 97:#5,19
- Fall 97: #7,
- Spring 98: #1,4,6,7
From the book:

- p.333 #9
- p.336 #40
Additional Problem:

- Find the absolute extrema of the function f(x)=ln(x+1) on the interval
[1,2].
- Find the x-coordinate of the point on the curve y=e^(2x) where the straight
line tangent to the curve at that point passes through the origin.
- Let f(x)=e^x. Find the slop of the straight line through the points (1,
f(1)) and (1+h,f(1+h)).
- An investment offers a 9.75 percent return compounded continuously. How
many years will it take for the investment to double its value?