In Exercises 47–56, find the quadratic function that has the given vertex and goes through the given point. 47. vertex: (-1, 4) point: (0, 2) 48. vertex: (2, –3) point: (0, 1) 49. vertex: (2, 5) point: point: (-2, 0) 51. vertex: (-1, –3) point: (-4, 2) 54. vertex: (5, 4) 50. vertex: (1, 3) 52. vertex: (0, –2) point: 55. vertex: (5, -) point= 53. vertex: (-2, -4) point: (-1, 6) 56. vertex: (-) point: (2, –5) point: (0, 0)

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In Exercises 47-56, find the quadratic function that has the given vertex and goes through the given point.
49. vertex: (2, 5)
52. vertex: (0, -2)
point: (3, 0)
point: (3, 10)
point: (. 0)
47. vertex: (-1,4)
point: (0, 2)
48. vertex: (2, –3)
point: (0, 1)
point: (-2, 0) 51. vertex: (-1, –3) point: (-4, 2)
54. vertex: (5, 4)
50. vertex: (1, 3)
53. vertex: (-2, -4) point: (-1, 6)
point: (2, –5)
55. vertex: (5, -)
56. vertex: (-)
point: (0, 0)
Transcribed Image Text:In Exercises 47-56, find the quadratic function that has the given vertex and goes through the given point. 49. vertex: (2, 5) 52. vertex: (0, -2) point: (3, 0) point: (3, 10) point: (. 0) 47. vertex: (-1,4) point: (0, 2) 48. vertex: (2, –3) point: (0, 1) point: (-2, 0) 51. vertex: (-1, –3) point: (-4, 2) 54. vertex: (5, 4) 50. vertex: (1, 3) 53. vertex: (-2, -4) point: (-1, 6) point: (2, –5) 55. vertex: (5, -) 56. vertex: (-) point: (0, 0)
For Exercises 59 and 60, refer to the following:
An adult male's weight, in kilograms, can be modeled by the
function
w6) = - *
13
433
W(t)
1sts 18
%3D
5
where t measures months (t = 1 is January 2010, t = 2 is
February 2010, etc.) and W is the male's weight.
%3D
59. Health/Medicine. During which months was the male losing
weight and during which gaining weight?
60. Health/Medicine. Find the maximum weight to the nearest
kilogram of the adult male during the 18 months.
Transcribed Image Text:For Exercises 59 and 60, refer to the following: An adult male's weight, in kilograms, can be modeled by the function w6) = - * 13 433 W(t) 1sts 18 %3D 5 where t measures months (t = 1 is January 2010, t = 2 is February 2010, etc.) and W is the male's weight. %3D 59. Health/Medicine. During which months was the male losing weight and during which gaining weight? 60. Health/Medicine. Find the maximum weight to the nearest kilogram of the adult male during the 18 months.
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