(This is an adapted question from a previous AMC 12 problem) Suppose a, b, c are real numbers such that a + b + c = 7 and a² + b² + c² = 33.
Let f(a) = sin(a - 2) - 202020/202021, where a is bounded by the parameters found above. Given that ⌊a³⌋ has only 1 possible value when f(a) ≥ 0, find ⌊a³⌋.
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[10 points, algebra 2]according to my answer key the restrictions are -1 and 4. but why not positive 1?

Acylinder with a base diameter of x units has a volume of jxcubic units which statements about the cylinder are true? check all that apply. the radius of the cylinder is 2 x units. the radius of the cylinder is 2x units. the area of the cylinder's base is 200 square units. the area of the cylinder's base is a square units. the height of the cylinder is 2x units. the height of the cylinder is 4x units. mark this and return save and exit next submit