The following polynomial is defined on the interval [-2, 2]:

f(x)= x + 7x² - 4x -10.

The function is then extended to the entire x-axis so that the extended function is periodic.
a. Find the Fourier series for this function.
b. To what values does the Fourier series converge to at the end points, x= - 2 and x = 2?
c. Keep only 2, 5, 10 terms in the Fourier series and plot them in the same plot (no need to turn in your code); also include a plot of the original function. Compare them.

1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?