In Exercises 9–12 the function gives the cost to manufacture x items. Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production level of x, where x is as indicated and
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- Round off to one decimal place where applicable The table time (xi) 1 2 3 4 5 6infections (yi = f(xi)) 32 37 34 48 53 69 depicts the number of newly infected individuals with a contagious, airborne disease atintervals of 1 day over a period of 6 days. Here i = 0, 1, 2, . . . , 5 and the quantities x0 = 1and y0 = 32, respectively, represent the end of the first day of testing for the disease, andnumber of positive tests conducted by the end of that day.(Note: xi represents the end of a testing day, where the values of xi are as tabulated, whileyi represents the number of positive tests conducted by the end of day xi.) (b) (i) Use the table presented in (a), along with Newton’s forward difference formula, toapproximate f(7) with a polynomial of degree 3, P3(x). Start with x0 = 1. (ii) Estimate the error in the approximation in (b)(i).arrow_forwardUse the following table to answer the question: x -25 -13 -3 0 9 11 h(x) 6 0 -5 -7 -14 -30 What is the average rate of change of h(x) over the interval -13 < x < 11?arrow_forwardEstimate the derivative from the table of average rates of change. HINT [See discussion at the beginning of the section.] h 1 0.1 0.01 0.001 0.0001 Avg. Rate ofChange of f over[7, 7 + h] 8 4.3 4.03 4.003 4.0003 h −1 −0.1 −0.01 −0.001 −0.0001 Avg. Rate ofChange of f over[7 + h, 7] 2 3.7 3.97 3.997 3.9997 Estimate f '(7). f '(7) =arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning