1. Solve for x and y:

|x|+x+y=14

x+|y|-y=12

2.All the roots of the cubic polynomial f(x)=3x^3+bx^2+c+d are negative real numbers. If f(0)=81, find the smallest possible value of f(1). Prove that your answer is the minimum

3.Let f(x) be an even function, and let g(x) be an odd function, such that f(x)+g(x)=x^2+2^x for all real numbers x. Find f(2)

Guest May 26, 2021