P2 - Math 141, Problem Set #2 (due in class Fri., 9/16/11)...

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Unformatted text preview: Math 141, Problem Set #2 (due in class Fri., 9/16/11) Stewart, section 1.2, problems 16, 18, 24, 32, 38, 50, 52, 64. For problem 24, write x 2 4 x + 3 as ( x 2) 2 1 (completing the square). Stewart, section 1.3, problems 4, 8, 10, 22. Note that in this class, all trig functions are in radians. Make sure your calculator is in radians mode when you try 1.3.22! Also: A. Let f ( x ) = 1 / (1 x ). Graph the functions f , f f , and f f f (be careful about graphing the last of these!). B. Stewart writes (see page 13) that the graph of the curve y = ax 2 + bx + c is obtained by shifting the graph of the curve y = ax 2 . Be explicit about how the graph is to be shifted (left? right? up? down? how much?). Hint: Use the method of completing the square to rewrite ax 2 + bx + c in the form a ( x r ) 2 + s for suitable constants r and s . C. Show that there exists a polynomial p () of degree 3 such that p (3) = 0, p (5) = 0, p (7) = 0, and p (11) = 1. You do(11) = 1....
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