Remember use calculus here but you neednt calculate out un pleasant arithmetic

# Remember use calculus here but you neednt calculate

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the company’s (total) revenue per day.(Remember, use calculus here, but you needn’t calculate out un-pleasant arithmetic expressions.) 11
Problem 7) (8 Points)Supposef(x) andg(x) are differentiable functionsrelated by the equationf(x) =xg(x).(The right hand side here isxtimesthe functiong(x).)Find a formula forg(x) in terms ofx,f(x), andf(x). 12
Problem 8) (12 Points)Insulation workers who were exposed to asbestosand employed before 1960 experienced an increased likelihood of lung cancer.If a group of insulation workers has a cumulative total of 100,000 years ofwork experience with their first date of employmenttyears ago, then thenumber of lung cancer cases occurring within the group can be modeledusing the functionN(t) = 0.00437t32.8a)Find the rate of growth of the number of workers with lung cancer in agroup whose first date of employment was 5 years ago.(As in the descriptionabove of whatN(t)represents, your answer here will be implicitly thinkingabout a group with100,000years of work experience.) 13
8b)How long ago would the first date of employment have to be to multiplythe number of workers with lung cancer by a factor of 8 from the numberwith lung cancer 5 years ago?(Note this part is NOT asking you about therate of growth5years ago.) 14
More space - Be sure and indicate clearly on the original problem page if you are continuing some problem on this page. 15