Let $f(x) = \lfloor x \lfloor x \rfloor \rfloor$ for $x \ge 0.$ (a) Find all $x \ge 0$ such that $f(x) = 1.$

(b) Find all $x \ge 0$ such that $f(x) = 3.$

(c) Find all $x \ge 0$ such that $f(x) = 5.$

(d) Find the number of possible values of $f(x)$ for

The line y = x + passes through (−3, 7) and is parallel to y = 4x − 1.

Arecipe calls for 32 fluid ounces of heavy cream. how many 1 pint containers of heavy cream are needed to make the recipe?

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min