Consider the following function. f(x) = √x, a = 4, n = 2, 4 <= x <= 4.3

a. Approximate f by a Taylor polynomial with degree n at the number a.

T2(x) =

b. Use Taylor's Inequality to estimate the accuracy of the approximation f ≈ Tn(x) when x lies in the given interval. (Round the answer to six decimal places.)

|R2(x)| ≤

Michael opens a store selling specialty artisan breads. before he can begin baking and selling bread, he purchases a bread oven. each week he sells the same number of loaves and earns the same amount of money. write an equation to show how much money he has earned at any week. x y week profit in dollars 1 –250 2 –170 3 –90 4 –10 5 70 a. y = 80x + 70 b. y = 80x – 330 c. y = 80x – 250 d. y = 80x