Suppose f(x)=√x is to be approximated near x=8. Find the linear approximation to f at x = 8. Then, complete the following table, showing the errors in the various approximations. Use a calculator to obtain the exact values. The percent error is calculated using the formula below. Comment on the behavior of the errors as x approaches 8. 100 approximation-exact exact Complete the linear approximation column of the table. (Round to seven decimal places as needed.) X Linear approx 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 L X 8.1 8.01 8.001 8.0001 7.9999 7.999 7.99 7.9 Linear Exact Perc approx. value err

The amount of growth of plants in an ungrazed pasture is a function of the amount of plant biomass already present and the amount of rainfall.t For a pasture in the arid zone of Australia, the following formula gives an approximation of the growth. Y = -55.12 - 0.01535N - 0.00056N? + 3.946R Here Ris the amount of rainfall, in millimeters, over a 3-month period, Nis the plant biomass, in kilograms per hectare, at the beginning of that period, and Y is the growth, in kilograms per hectare, of the biomass over that period. (For comparison, 100 millimeters is about 3.9 inches, and 100 kilograms per hectare is about 89 pounds per acre.) Now we consider the amount of growth Y as a function of the amount of plant biomass N already present. (a) First we assume that the rainfall is 80 millimeters, so R = 80. (1) Find a formula for the growth Y as a function of the amount N of plant biomass already present. kg/ha (ii) Make a graph of Y versus N. Include biomass levels N from 0 to 800 kilograms…

Suppose the number of bacteria in a culture is modeled by the function P(t) = 1750e0.1t, where t is measured in hours. Determine the time it will take for the number of bacteria to reach 2914. Round answer to 1 dec. place. t = hours

Find the 2- and y-intercepts for the function. Enter your answers as points, (a, b). The x-intercept is (-5.0) The y-intercept is (0.1/5) 20 X AH ΩΣ ΤΟ Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail that is expected in your explanations. GOCA FE f(x) = D BA x+5 x²+25 學版 A- A- I Styles E BIUS X, x² Font Submit Assignment Size Quit & Save ES Back 8 Question Menu . May 6 4:17 US Ne