Math 1105 Winter 2012/2013 Assignment 5Due Feb 14 at 2:30 pmIn this lab we will use derivatives to approximate small changes in differentiablefunctions. You have learned that, for small changes...

Math 1105 Winter 2012/2013 Assignment 5 Due Feb 14 at 2:30 pm In this lab we will use derivatives to approximate small changes in dierentiable functions. You have learned that, for small changes in x, 0
yf (x)
x (1) x Let f(x) =xe : We will use this to approximate f(1:01): 0 0 1. Calculate f (x). Calculate f (1): 0 2. We know f (1). What will the value for
x be? Now use the formula above to approximate
y and use this to approximate f(1:01): 3. The value of x increasing from 1 to 1:01 is an percentage increase of 1%: What is the approximate percentage increase of f(x) increasing fromf(1) to f(1:01)? 4. Use your calculator to calculate f(1:01) exactly. How large is our error (the dierence between our approximate and exact solution)? 5. Using the method above, approximate the percentage increase of area of a regular hexagon if the length of each side is increased by 2%. You will have to look up the formula for the area of a regular hexagon. Homework Problems Section 3.1 (p169) # 10 Section 3.3 (p181{182) # 30, 40, 66 Section 3.5 (p197{198) # 16, 28, 32 Section 4.3 (p232) # 8, 18, 24, 30 1