True/false. indicate whether the statement is true or false. (no explanation required)
(a) let x be a positive real number. if 3\leq √ < 3 +\leq +\varepsilon for all \varepsilon > 0, then x = 9.
(b) let s be a nonempty subset of the real numbers. if x is a boundary point of s, then x is an upper bound or a lower bound of the set s.
(c) the set of all rational numbers between √3 and √7 is a countable set.
(d) given any subset s of the real numbers, if its interior, int s, is nonempty, then s is an uncountable set.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.

Write the slope intercept equation for line ab.