Students will complete a paper which expects them to apply the material covered in class (especially Bonilla-Silva’s 4 frames of colorblind racism) to their everyday social world. This could be in

Math 241 3 Written Assignment 3 Name_________________________________________ Present all of your work in your own handwriting in the space provided for each problem. Problems asking you to write out answers to questions require full sentences. The word problems also require a full sentence response. Grammar, capitalization, and p unctuation all count, along with the answer being correct. 1. The 800 -room Mega Motel is filled to capacity when the charge is $ 50 per night. For each $10 increase in room charge 40 fewer rooms are filled each night. What charge per room will result in the maximum revenue per night. ( Use C alculus to sol ve the problem) 2. Suppose y ‘ = 2− − 6 is the first derivative of the function y = f(x) . a) At what poin ts, if any , doe s the graph of f have a lo cal maximu m, minimum , or inflection points ? b) Find the intervals where the function is inc reasing , decreasing, concave up, or concave down and sketch a general shape of the graph. Math 241 3 Written Assignment 3 Name_________________________________________ 3. Show that the function ()= + 1 is in creasing at every open interval of i ts domain. 4. U se L ’Ho pital Rule to find the limit lim→4 sin 2( ) −4+3− 5. Find the integral ∫(5 2+ 2 2+1+ sin )