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Unformatted text preview: Math 141, Problem Set #1 (due in class Fri., 9/9/11) Stewart, section 1.1, problems 4, 6, 14, 18, 24, 26, 28, 32, 36, and 46. (For problem 46, dont forget the instructions that govern problems 45-49 on page 10.) Also: A. Let x , y , and z respectively denote Alices score on the homework, midterm, and final exam for Math 141, so that her score S for the course as a whole is determined by the formula S = max(0 . 3 x + 0 . 3 y + 0 . 4 z, . 3 x + 0 . 4 y + 0 . 3 z, . 4 x + 0 . 3 y + 0 . 3 z ) . (Note: max( a, b, c ) is equal to whichever of the three numbers a, b, c is largest.) Suppose x is 70, y is 80, and z is unknown. Draw the graph for S as a function of z , where z ranges from 0 to 100, and give a piecewise definition of the function. B. Sketch the curve given by f ( x ) = x 2 . C. Sketch the curve given by f ( x ) = ( x ) 2 . D. Find a (single) algebraic expression that determines a function f ( x ) such that f ( x ) = 1 for all x between 1 and 1 inclusive and f ( x...
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