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******Calculus HYPERBOLA 85 EXERCISE 1.5 A. For the following items, find the coordinates of the (a) center, (b) vertices, and (c) foci, (d) length of

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******Calculus

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HYPERBOLA 85 EXERCISE 1.5 A. For the following items, find the coordinates of the (a) center, (b) vertices, and (c) foci, (d) length of the latus rectum, and (e) the equations of directrices and (f) asymptotes of the hyperbola. Then sketch each graph. 1. =1 16 4 2 49\fHYPERBOLA 87 5. ( x -1) ( 1 +5 ) 20 16 B. Given the following items, determine the center of the hyperbola and write the equation in general form: 1. 9 25 Answer: orientation: equation: 2. 36 9 Answer: orientation: equation: 3. (x-2) (1+2) 1 64 49 Answer: orientation: equation:

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