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Mathematics, 19.09.2019 16:10 jaxonbrice
Consider the equation x^2+(y-2)^2 =1 and the relation "(x, y) r (0, 2)", where r is read as "has distance 1 of". for example, "(0, 3) r (0, 2)", that is, "(0, 3) has distance 1 of (0, 2)". this relation can also be read as "the point (x, y) is on the circle of radius 1 with center (0, 2)". in other words: "(x, y) satisfies the equation x^2+(y-2)^2 = 1, if and only if, (x, y) r (0, 2)". answer the following in your discussion. does this equation determine a relation between x and y? can the variable x be expressed as a function of y, like x=g(y)? can the variable y be expressed as a function of x, like y= h(x)? if these are possible, then what will be the domains for these two functions? what are the graphs of these two functions? are there points on the x-axis and on y-axis that are relate to (0, 2) by means of r? your discussion should be a minimum of 250 words in length and not more than 750 words.
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Consider the equation x^2+(y-2)^2 =1 and the relation "(x, y) r (0, 2)", where r is read as "has dis...
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