Verify that the indicated expression is an implicit solution of the given differential equation. (dy/dx)2 + 1 = 1/y2 ; (x − 7)2 + y2 = 1
Using implicit differentiation,
(x − 7)2 + y2 = 1
+ 2y dy dx = 0
(dy/dx)2 =
Since (x − 7)2 = 1 − y2, we have that (dy/dx)2 + 1 = 1/y2 .

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The probability that a college student belongs to a health club is 0.3. the probability that a college student lives off-campus is 0.4. the probability that a college student belongs to a health club and lives off-campus is 0.12. find the probability that a college student belongs to a health club or lives off-campus. tip: p(a or b) = p(a) + p(b) - p(a and b) 0.54 0.58 0.70 0.82