Pre-Calc Homework Solutions 7

Pre-Calc Homework Solutions 7 - 2 x $ 0 the domain is 2‘...

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Section 1.2 Exercises 1. Since A 5 p r 2 5 p 1 } d 2 } 2 2 , the formula is A 5 } p 4 d 2 } , where A represents area and d represents diameter. 2. Let h represent height and let s represent side length. h 2 1 1 } 2 s } 2 2 5 s 2 h 2 5 s 2 2 } 1 4 } s 2 h 2 5 } 3 4 } s 2 h 5 6 } ˇ 2 3 w } s Since side length and height must be positive, the formula is h 5 } ˇ 2 3 w } s . 3. S 5 6 e 2 , where S represents surface area and e represents edge length. 4. V 5 } 4 3 } p r 3 , where V represents volume and r represents radius. 5. (a) ( 2‘ , ) or all real numbers (b) ( 2‘ , 4] (c) [ 2 5, 5] by [ 2 10, 10] (d) Symmetric about y -axis (even) 6. (a) ( 2‘ , ) or all real numbers (b) [ 2 9, ) (c) [ 2 5, 5] by [ 2 10, 10] (d) Symmetric about the y -axis (even) 7. (a) Since we require x 2 1 $ 0, the domain is [1, ). (b) [2, ) (c) [ 2 3, 10] by [ 2 3, 10] (d) None 8. (a) Since we require 2 x $ 0, the domain is ( 2‘ , 0]. (b) ( 2‘ , 0] (c) [ 2 10, 3] by [ 2 4, 2] (d) None 9. (a) Since we require 3
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Unformatted text preview: 2 x $ 0, the domain is ( 2‘ , 3]. (b) [0, ‘ ) (c) [ 2 4.7, 4.7] by [ 2 6, 6] (d) None 10. (a) Since we require x 2 2 ± 0, the domain is ( 2‘ , 2) < (2, ‘ ). (b) Since } x 2 1 2 } can assume any value except 0, the range is ( 2‘ , 0) < (0, ‘ ). (c) [ 2 4.7, 4.7] by [ 2 6, 6] (d) None 11. (a) ( 2‘ , ‘ ) or all real numbers (b) ( 2‘ , ‘ ) or all real numbers (c) [ 2 6, 6] by [ 2 3, 3] (d) None 12. (a) ( 2‘ , ‘ ) or all real numbers (b) The maximum function value is attained at the point (0, 1), so the range is ( 2‘ , 1]. (c) [ 2 6, 6] by [ 2 3, 3] (d) Symmetric about the y-axis (even) s s s 2 s h s 2 Section 1.2 7...
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