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140Bquiz1c - 1 MATH 140B QUIZ#1 Date Sept 1 2007 The last 3...

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1 MATH 140B QUIZ#1 Date: Sept 1, 2007 The last 3 questions involve applications to biology, exactly like those done in lecture. If you missed classes this week, then you should get notes from someone. [ 2 ] 1. Consider the linear function y = αx - 3 where α is a positive constant. Which of the following 3 statements are true? i) The end behavior of the graph of this function goes upward to the right. ii) The x -intercept is 3 . iii) x and y are directly proportional. A) i) only; B) ii) only; C) i) and ii) only; D) i) and iii) only; E) all [ 2 ] 2. Suppose p is a polynomial with odd degree and negative leading coefficient . Which of the following 3 statements are true? i) The end behavior of the graph of p goes up to the right . ii) The end behavior of the graph of p goes up to the left . iii) p has at least one root ( x -intercept). A) i) only; B) ii) only; C) iii) only; D) i) and iii) only; E) none
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2 [ 2 ] 3. As discussed in lecture, in the case of laminar flow of blood through a cylindrical vessel of radius R , the velocity (in cm/s) of a red blood cell that is r cm from the centerline of the cylinder is given by: v ( r ) = k ( R 2 - r 2 ) where k is a positive constant. Suppose
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