Suppose you are estimating √5 using the first Taylor polynomial of the function √x about x=4. Use Taylor's theorem to bound the error. Round your answer to four decimal places.

given that the instantaneous rate of change of a polynomial is never zero on the entire domain of the function, what can you state about the function’s behaviour?

Few companies take the time to estimate the value of a good customer (and often spend little effort to keep one). Suppose that a customer at a restaurant spends, on average, R per visit and comes F times each year (for example, if a customer purchases once every two years, then 1 F-=-0.5. The restaurant realizes a gross profit margin of M (expressed as a fraction) on the average bil for food and drinks. In addition, the fraction of customers defecting (not returning) each year is D. Complete parts a and b. T a. Develop a mathematical model to compute V, the gross profit during a customer's Metime in doing business with the restaurant (this is often called the economic value of a customer). (Simplify your answer.) b. If the average purchase per visit is $50, the gross profit margin is 0.4 (that is, 40%), customers visit an average of six times each year and 30% of customers defect each year, what is the economic value of the customer? The economic value of the customer is $ (Round to…

a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. f(x) = 8x³/2, a = 1; approximate 8(1.73/2) a. p₁(x) = b. p₂(x) = c. Using the linear approximating polynomial to estimate, 8 (1.73/2) is approximately (Simplify your answer.) Using the quadratic approximating polynomial to estimate, 8(1.73/2) is approximately. (Simplify your answer.)