Consider the polynomial (x) = −0.1x 4 − 0.15x 3 − 0.5x 2 − 0.25x + 1.2 The true value of its derivative at x=0.5 is ′ (0.5) = −0.9125. Use backward, forward, and centered first finite differences to estimate the derivative numerically for the step size ∆x = 0.25, and determine the percent error between the true value and each of the estimated values (percent error is given by = − mconverted to a percentage.) What value of ∆x would you have to use for the backward and forward finite differences to get the same percent error as the centered finite difference (hint: it should be less than 0.25.)?

(least common multiples) the answer that i had in the 1st step was lcm of airline tickets sold=72. idk if that even matters but just in case. ! three co-workers are busy selling airline tickets over the phone. in an 8-hour day, charles can sell 8 airline tickets, ann can sell 9 airline tickets, and michelle can sell 6 airline tickets. step 2 of 2: what is the smallest number of 8-hour days needed for each of them to achieve the same number of sales? it takes charles . it takes . it takes .

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.

Over the course of a month, a person's weight decreases. what type of relationship is this? a. positive relationship