Find out if the following sets are bounded above and/or below, has a supremum and/or an infimum, and if it has a max and/or a min 1. [0,4]
2. (0,4)
3. natural numbers N
4. [0,√2] ∩ Q

Suppose that f(0) = −3 and f '(x) ≤ 8 for all values of x. how large can f(4) possibly be? solution we are given that f is differentiable (and therefore continuous) everywhere. in particular, we can apply the mean value theorem on the interval [0, 4] . there exists a number c such that

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

How can writing phrases as algebraic expressions you solve problems?