14. Determine whether x 3 is O(g(x))for each of these func-tions g(x). a) g(x) = x 2 b) g(x) = x 3 c) g(x) = x 2 + x 3 d) g(x) = x 2 + x 4 e) g(x) = 3 x f) g(x) = x 3 /2

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 15.

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4? y-1=4(x-3) or y+3=4(x+1)

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?