Pre-Calc Homework Solutions 415

# Pre-Calc Homework Solutions 415 - Section 10.4 Quick Review...

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Quick Review 10.4 1. k 50 cos 25 8 , 50 sin 25 8 l < k 45.315, 21.131 l 2. k 80 cos 120 8 , 80 sin 120 8 l 5 k 2 40, 40 ˇ 3 w l 3. To find the x -intercepts, solve 2 x 2 1 11 x 2 40 5 0 using the quadratic formula: x 5 5 } 5 2 } or 2 8. The x -intercepts are 1 } 5 2 } , 0 2 and ( 2 8, 0). For the y -intercept, find f (0) 5 2(0) 2 1 11(0) 2 40 5 2 40. The y -intercept is (0, 2 40). 4. At the vertex, f 9 ( x ) 5 4 x 1 11 5 0 and x 5 2 } 1 4 1 } . Then the vertex is 1 2 } 1 4 1 } , 2 1 2 } 1 4 1 } 2 2 1 11 1 2 } 1 4 1 } 2 2 40 2 5 1 2 } 1 4 1 } , 2 } 44 8 1 } 2 . 5. To find the x -intercepts, solve 20 x 2 x 2 5 0: x 5 0 or 20. The x -intercepts are (0, 0) and (20, 0). For the y -intercept, find y (0): it is already known to be 0. So the y -intercept is (0, 0). 6. At the vertex, g 9 ( x ) 5 20 2 2 x 5 0 and x 5 10. Then the vertex is (10, 20(10) 2 10 2 ) 5 (10, 100). 7. y 5 2 cos x 1 C . y 1 } p 2 } 2 5 2 cos 1 } p 2 } 2 1 C 5 C 5 2, so y 5 2 cos x 1 2. 8. y 9 5 t 2 1 C 1 and y 5 } 1 3 } t 3 1 C 1 t 1 C 2 y 9 ( 2 1) 5 ( 2 1) 2 1 C 1 5 1 1 C 1 5 4, so C 1 5 3. y ( 2 1) 5 } 1 3 } ( 2 1) 3 1 3( 2 1) 1 C 2 5 2 } 1 3 0 } 1 C 2 5 5, so C 2 5 } 2 3 5 } y 5 } t 3 3 } 1 3 t 1 } 2 3 5 } 9.
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