quiz 9A sol - Solutions to Quiz 9A...

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Unformatted text preview: Solutions to Quiz 9A www.math.ufl.edu/˜harringt October 20, 2007 1. Find the center and radius of the circle 3x2 + 3y 2 − 6x + 12y − 12 = 0. 3x2 + 3y 2 − 6x + 12y − 12 x2 + y 2 − 2x + 4y − 4 x2 − 2x + y 2 + 4y 22 42 x2 − 2x + + y 2 + 4y + 2 2 (x − 1)2 + (y + 2)2 =0 =0 =4 = 4+ 2 2 2 + 4 2 2 = 9 = 32 So the center is: (1, −2) and the radius is 3. 2. Write the domain of f (x) = x+1 √ x We have two things to consider: (a) First note that x = 0 since we can not divide by zero. √ (b) Now consider x. We can not take the square root of negative numbers. So x ≥ 0. Together from part (a) and (b) we have that the domain is: (0, ∞). 1 ...
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This note was uploaded on 07/12/2011 for the course MAC 1140 taught by Professor Williamson during the Fall '08 term at University of Florida.

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