Use MatLab to solve these questions

1. Use fzero to solve cos(x) = 3x + sin(x). 2. Find the maximum value of z exp(-x/4) sin(10x) on the real numbers. 3. Use the command roots to find the most positive (rightmost) real root of 2 + 2x 10x+4x+x+1. 4. Use fzero to find the most positive (rightmost) zero of f(x) = r-4+sin(10x) 5. Which root does Newton's method find in the previous problem if we start at x = 0? 6. How many zeros does g(x) = cos(20 exp(2x) sin(20r)) have in the interval [0, 1]? Use the first three boxes. Which zero is closest to 1/2? Use the seven boxes.