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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.
 Fall '08
 WILLIAMSON
 Math, Calculus, Algebra

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