It is the final exam period and you have only math and chemistry exams left. They are on the same day and you have 20 hours of study time remaining. You estimate that your mark on the chemistry exam as a function of hours spent studying is

it is the nal exam period and you have only math and chemistryr exams leit. They are on the same day and you have 20 hours of study time remaining. You Intimate that your mark on the chemistry exam as a function 01' I'IOLII'S spent studying is (21;)er ' . 4+3: You can't be qutle as certain about your man: in your math course but you know it has a similar term: \"( = 100 x k+xv where it > Di. Submit parts 1-4 as 01 on Crowdmark: 'i. For this part only. suppose that rt )r 41 {a} Interpret what this means about the comparative difculty otstudying math and chemistry. {b} Without doing any calculations. do you think you should spend more time studying for math orchemistry'? Gare an honest answer based on yourthoughis before doing the rest of this OSH - part (b) will not be manced 1'or correctness, it is intended to entourage you to build an expectation that you can compare laterto your rom'rai answer a valuable step i1 problem solving. 2 Write down a function foryour average mark A(x) on the two exams where x is the number of hours spent studying math. Assume the remaining time spent entirely on chemistnt Write your answer in terms 0'! the lunctlons C and M. 3 What is {a} the mathematical domain orthe model and (b) the model domain? That is, what is the set of): values that can be plugged into Alix) in both (a) a mathernatir: al sense and (b) a realistic sense given the meaning etx h the problem? wanalt) am\": zCIzw/E) JE+2 xii2 as possible with Mgr) written In terms of C and M before substituting I1 the algebraic expressions for these functions (or more accurate ry. the algebraic expressions for their derivatives). 4. Verityr by carculatlng them trom scratch that there are two critical points of ACx) elven by x. = . Hint; his easiest to proceed as far