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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)

 May 26, 2021
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2. The minimum value is 144.

 

3. f(2) = 7/3.

 May 26, 2021

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