In this problem, y = 1/(x2 + c)
is a one-parameter family of solutions of the first-order DE
y' + 2xy2 = 0.
Find a solution of the first-order IVP consisting of this differential equation and the given initial condition.
y(4) =
1
7
y =

Give the largest interval I over which the solution is defined.
(??, ?)
(3, ?)
(?3, ?)
(0, 3)
(0, ?)

Use the normal approximation to the binomial distribution to answer this question. fifteen percent of all students at a large university are absent on mondays. if a random sample of 12 names is called on a monday, what is the probability that four students are absent?

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

Television sizes are based on the length of the diagonal of the television's rectangular screen. so, for example, a 70-inch television is a television having a diagonal screen length of 70 inches. if a 70 inch television's diagonal forms a 29°angle with the base of the screen, what is the vertical height (1) of the screen to the nearest inch? 70 inhin