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Ch1-2Rev - Name Date Math 604 BC Calculus Chapters 1 2...

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1 Name: _________________________ Date: _____________ Math 604 – BC Calculus Chapters 1 & 2 Practice 1. If a ! 0 , then lim x ! a x 2 " a 2 x 4 " a 4 = (1998 #83) a) 1 a 2 b) 1 2 a 2 c) 1 6 a 2 d) 0 e) nonexistent 2. The graph of the function f is shown in the figure above. Which of the following statements about f is true? (1997 #15) a) lim x ! a f ( x ) = lim x ! b f ( x ) b) lim x ! a f ( x ) = 2 c) lim x ! b f ( x ) = 2 d) lim x ! b f ( x ) = 1 e) lim x ! a f ( x ) does not exist. 3. The graph of y = f ( x ) is shown in the figure above. Which of the following could be the graph of y = f ( x ) ? (1993 #40)

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2 4. Determine algebraically the two limits given below. a. lim x ! 0 1 5 " x " 1 5 x b. lim t ! 3 t " 3 t 3 " 27 5. For the function y = x 16-x 2 a) find the domain b) find the range c) determine whether the function is odd, even or neither. d) Graph the function 4 2 - 2 - 4 - 5 5
3 6. Graph the parametrized curve described by x = (t - 3) 2 , y = t, t ! 0 . Write a Cartesian equation for the parametrized curve. Indicate the direction in which the curve is traced. 7. Find a parametrization for the left half of the ellipse x 2 16 + y 2 25 = 1 . - - -

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4 8. Let y = -10 cos 4x - ! 2 " # \$ % & - 25 . Determine the period, domain and range of the

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Ch1-2Rev - Name Date Math 604 BC Calculus Chapters 1 2...

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