MATH 1350 Midterm: Math135Exam3Math135Spring2008
Document Summary
To get full credit, you must show all work! The exam has 7 problems on 4 pages! Suppose we have a 100-mg sample. (a) find the mass that remains after t years. (b) how much of the sample remains after 100 years? (c) after how long will only 1 mg remain: problem 2. Use l"h opital"s rule to compute the following limits. (a) lim x x ex = (b) lim x 0+ x2 ln x = (c) lim x 0. Find the local and absolute extreme values of the function on the interval speci ed. f (x) = ln x x2 , x [1, e: problem 4. Find the maximum value of the function f (x) = x(1 x), x [0, 1: problem 5. Find all the in ection points (if any) for the function f (x) = x(x + 1)3: problem 6. Sketch the graph of the function f (x) = x.
