MAC2311_ExerciseSet_Answers-7

MAC2311_ExerciseSet_Answers-7 - Answers to the Exercise...

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Unformatted text preview: Answers to the Exercise Sets Exercise Set 1 1. (a) 5 (b) 2 x + 1 (c) 1 2 x (d) | 2 x | x = { x if x 3 x if x < 2. (a) x = a 2 (b) x = 1 (c) x = 1 / 3 (d) x = 3 2 3. (a) [ 1 , 0] [5 , ) (b) [ 1 , 3 2 ] (c) ( , 7 2 ) ( 1 2 , ) (d) ( , 2 3 ] (e) ( , 1) [ 1 3 , 1 ] (f) ( , 1 2 ] ( 1 5 , ) 4. 5 5. (1 , 3) and ( 5 , 3) 6. y = 2 3 x 7 3 7. y = 2 5 x 16 5 8.- 3 3 9 x y 9. (a) center (0 , 0), radius 7, x-intercepts 7, y-intercepts 7 (b) center (3 , 2), radius 5, x-intercepts 3 21, y-intercepts 6 and 2 10. (a) y = (2 . 2%) t + 5 . 4% (b) 9.8% 11. (b) 5 C 45 12. [2 , 3] (in seconds) 13. 11 . 98 x 12 . 02 (in inches); Area [143 . 5204 , 144 . 4804] (in square inches) Exercise Set 2 1. (a) 10 / 3 (b) 105 2. (a) 16 3 cm (b) 64 3 cm 2 3. (a)- 540 90 (b) 10 3 90 4. (a) sin ( 5 2 ) = 1, cos ( 5 2 ) = 0, tan ( 5 2 ) does not exist, csc ( 5 2 ) = 1, sec ( 5 2 ) does not exist, cot ( 5 2 ) = 0 (b) sin ( 11 6 ) = 1 2 , cos ( 11 6 ) = 3 2 , tan ( 11 6 ) = 1 3 , csc ( 11 6 ) = 2, sec ( 11 6 ) = 2 3 , cot ( 11 6 ) = 3 5. cos = 2 3 , sin = 5 3 , tan = 5 2 , csc = 3 5 , cot = 2 5 6. 9.8506 in 7. (a) true (b) false (c) true 8. (a) 7/25 (b) 6 5 13 10. / 3, 5 / 6 11. (a) 0, / 4, , 7 / 4 (b) / 6, 5 / 6, 3 / 2 (c) / 4, 5 / 4 (d) / 4, 3 / 4, 5 / 4, 7 / 4 12. (a) [ , 3 ] [ 2 3 , 2 ) (b) [ , 4 ) ( 5 4 , 2 ) 13. [ 2 , ) [ 3 2 , 2 ) 14. (b) = / 3, A = 27 3 in 2 Exercise Set 3 1. (a) 5 (b) x { 5 , 8 } (c) domain [0 , 10], range [ 2 , 5] (d) true 2. (a) no (b) yes (c) yes (d) no 3. (a) Temperature Time (hours) (b) Score Time (hours) (c) D Hand Position 4. Volume(gallons) Time (minutes) 5. (a) x 2 1 x 2 + 1 (b) 2 a 2 a + 2 (c) 2 h 9 + 3 h (d) 2 ( a + 1)( a + h + 1) 6. 3 s 2 + 3 s + 1 7. (a) [ 3 2 , ) (b) ( , 0) (0 , ) (c) ( , 1) ( 1 , ) (d) [0 , 1) (1 , ) (e) ( , 0) [1 , ) 8. (b) f ( x ) = { 2 if x > if x < 2 x y (c) f ( x ) = 1 x , x = 1 1 1 (- 1 , 2) x y 9. If A is the area of the pen in square feet, then A ( x ) = x (500 2 x ) with domain [0 , 250]. 10. If V is the volume of the can in cubic centimeters, then V ( r ) = 1 2 r (100 2 r 2 ) with domain ( , 50 / ] . 11. If S is the surface area of the can in square centimeters, then S ( r ) = 2 ( r 2 + 1000 r ) with domain (0 , )....
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This note was uploaded on 01/25/2012 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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MAC2311_ExerciseSet_Answers-7 - Answers to the Exercise...

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