4) Consider the equation f(x) = cos x-2x = 0. Show that f(x) has a root in the interval [0, 1] and use Newton's [5 marks
Posted: Wed Jul 06, 2022 12:32 pm
4) Consider the equation f(x) = cos x-2x = 0. Show that f(x) has a root in the interval [0, 1] and use Newton's [5 marks] method to approximate the 3rd root. [Hint: assume the first root x = 0 and find 3d root x₂] 5) An item that is to be sold at a small specialty store in Vancouver has $150 in fixed costs and $2 per item in variable costs. The owners assume they can sell 14 items if they charge $38 each, and 7 items at a price of $73 each. (You may and should assume that demand is a linear function for this problem.) For how many units sold/produced is the marginal (5 marks] profit 36 dollars per item?