20. [-/5 Points] DETAILS LARPCALCLIM4 2.2.095. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The revenue R (in millions of dollars) for a company from 2003 through 2016 can be modeled by R = 6.213t3 - 152.81t2 + 990.9t - 418, 3 sts 16 where t represents the year, with t = 3 corresponding to 2003. (a) Use a graphing utility to approximate any relative extrema of the model over its domain. (Round each value to two decimal places.) relative maximum (t, R ) = relative minimum (t, R ) = (b) Use the graphing utility to approximate the intervals on which the revenue for the company is increasing and decreasing over its domain. (Enter your answers using interval notation. Round each value to two decimal places.) increasing decreasing (c) Use the results of parts (a) and (b) to describe the company's revenue during this time period. This answer has not been graded yet. Need Help? Read It20. [-/2 Points] DETAILS LARPCALCLIM4 2.3.050. Write the function in the form f(x) = (x - k)q(x) + (x) for the given value of k. f(x) = -3x3 + 14x2 + 6x - 24, k = 3+\\3 f( x ) : Demonstrate that f(k) = r. F ( 3 + V 3 Need Help? Read It Watch It22. [on Points] PREVIOUS ANSWERS LARPCALCLIM4 2.3.059. ASK YOUR TEACHER PRACTICE ANOTHER Use synthetic division to show that x IS a solution of the thiroedegree polynomial equation, and use the result to fatter the polynomial completely. List all real solutions of the equation. (Enter your answers as a commaeseparated list.) x3+4x273x712=0, x=\\/3 x:l] X Need Help? 23. [11 Points] LARPCALCLIM4 2.3.061. MY NOTES l | ASK YOUR TEACHER I I PRACTICE ANOTHER Use synthetic division to show that x IS a solution of the thirdedegree polynomial equation, and use the result to factor the polynomial compIeter. List all real squtions of the equation. (Enter your answers as a commaeseparated list.) x375x1+18:0, x:1+ Need Help? 24. [f 3 Points] DETAILS LARPCALCLIM4 2.3.073. MY NOTES E Consider the following function. h(t)=t372r277t+2 (a) Use the zero or root feature of a graphing utility to approximate the zeros of the function accurate to three decimal places. (Enter your answers as a commaeseparated list.) t: (b) Determine the exact value of one of the zeros. t= (c) Use synthetic division to verify your result from part (b), and then factor the polynomial completely. Mt) = Need Help? 11. [0/1 Points] DETAILS PREVIOUS ANSWERS LARPCALCLIM4 2.5.023. Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) h (t ) = +3 + 4+2 + 5t+ 2 t = DNE X Need Help? Read ItConsider the following. x) =4x3 12x2 x+ 15 {a} List the possible rational zeros of 1'. [Enter your answers as a comma-separated list.) x = 1,1,1.5, 1.52.5, 2.5 X (b) Sketch the graph of I'so that some of the possible zeros in part (a) can be disregarded f(x) f(X) (c) Determine all real zeros of 1'. (Enter your answers as a commaeseparated list.) x: Need Help