Q19&Q29 neededNeeded to be solved correctly in 30 minutes and get the thumbs up please show neat and clean work for itBy hand solution needed for all three questions meter ReadingsTimesTrip Meter43.243.744.244.645.045.445.846.346.847.4is moving in a straighton at timer (in seconds) ist of a reference point, forobject when the time isthe reference point whenn the object is 6 feet fromGraph A car is travelingartway between the twoew York during the nexthe corresponding graphy speed.0-t1vad tol(c)1.8 The Derivative as a Rate of Change 12119. Estimating the Values of a Function If f(100)- 5000 and10, estimate each of the following.T(100)(a) (101)(b) f(100.5)(d) (98)(e) f(99)(e) f(99.75)20. Estimating the Values of a Function If f(25)-10 andf'(25)-2, estimate each of the following.(a) f(27)(b) f(26)(d)/(24)(c) f(25.25)(e) (23.5)21. Temperature of a Cup of Coffee Let f(t) be the temperatureof a cup of coffee t minutes after it has been poured. Inter-pret f(4) 120 and f'(4)=-5. Estimate the temperatureof the coffee after 4 minutes and 6 seconds, that is, after4.1 minutes.22. Rate of Elimination of a Drug Suppose that 5 mg of a drug isinjected into the bloodstream. Let f(t) be the amount pres-ent in the bloodstream after r hours. Interpret f(3) = 2 andf(3) =-.5. Estimate the number of milligrams of the drugin the bloodstream after 3 hours.23. Price Affects Sales Let f(p) be the number of cars soldwhen the price is p dollars per car. Interpret the statements(10,000) = 200,000 and f(10,000) = -3.24. Advertising Affects Sales Let f(x) be the number of toys soldwhen x dollars are spent on advertising. Interpret the state-ments f(100,000) = 3,000,000 and (100,000) = 30.25. Rate of Sales Let f(x) be the number (in thousands) of com-puters sold when the price is x hundred dollars per computer.Interpret the statements f(12) = 60 and f'(12) = -2. Then,estimate the number of computers sold if the price is set at$1250 per computer.26. Marginal Cost Let C(x) be the cost (in dollars) of manufac-turing x items. Interpret the statements C(2000) = 50,000and C(2000) 10. Estimate the cost of manufacturing 1998items.27. Marginal Profit Let P(x) be the profit (in dollars) from manu-facturing and selling x cars. Interpret P(100) = 90,000 andP'(100) 1200. Estimate the profit from manufacturing andselling 99 cars.28. Price of a Company's Stock Let f(x) be the value in dollarsof one share of a company x days since the company wentpublic.(a) Interpret the statements f(100) = 16 and f'(100) = .25.(b) Estimate the value of one share on the 101st day since thecompany went public.29. Marginal Cost Analysis Consider the cost functionC(x) = 6x² + 14x + 18 (thousand dollars).(a) What is the marginal cost at production level .x = 5?(b) Estimate the cost of raising the production level fromx = 5 to x = 5.25.(c) Let R(x)=x² + 37x + 38 denote the revenue in thou-sands of dollars generated from the production of x units.What is the breakeven point? (Recall that the breakevenpoint is when revenue is equal to cost.)(d) Compute and compare the marginal revenue and mar-ginal cost at the breakeven point. Should the company

Question

Accepted Answer

As per guidelines, I can do only three subparts of first question ( Question 19, parts (a), (b),…