Solve the following boundary value problem using method of separation of variables: 1 ə ди r dr 70% (107) + 1 д²и = 0, 12802 -π
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- Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x + 356.467x + 5332.618, where x is the number of years after 1980. During what years does this model indicate that sales would be at least 6 billion? The sales are at least 6 billion for the years through (Round up to the nearest year as needed.)mEC = 12. If mCI = (7x-15) and mEF = (12x-8)", find mCl. %3D %3D Sign out DELL m altIf a radioactive element has a half-life of 4 hours, then x grams of the element dwindles to x/2 grams after 4 hours. If a nuclear reactor has 800 grams of that radioactive element, find the amount of radioactive material after 16 hours.
- The purchased cost of a shell - and - tube heat exchanger (floating head and carbon - steel tube ) with 100 ft? of heating surface was $ 3,500 in 2000. What will be purchased cost of a similar heat exchanger with 280 N of heating surface in 2009 if the purchased - cost- capacity exponent is 0.60 for surface area ranging from 100 to 400 ft? . If the purchased- cost-capacity exponent for this type of exchanger is 0.81 for surface area ranging from 400 to 2000 ft?, what will be the purchased cost of a heat exchanger with 800 N of heating surface in 2000 ? Marshall and swift equipment- cost index(all industry)( 2000 560) ( 2009 790)A 30-second commercial during Super Bowl XXXVII in 2003 cost advertisers 2.2 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2003 Super Bowl. cost= dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost = dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2003 than in 1967? times more expensive (round to nearest whole number)In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 9292 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000150,000 miles of driving) of the vehicle. NOX ++ NMOG emissions over the useful life for one car model vary Normally with mean 8888 mg/mi and standard deviation 44 mg/mi. (a) What is the probability that a single car of this model emits more than 9292 mg/mi of NOX ++ NMOG? (Enter your answer rounded to four decimal places.)
- Solve for z. (2-i)z+8z^2=0A tank initially has 100 gallons of brine containing 5 Ibs of salt. The mixture is kept well-mixed. A solution with 3 Ibs salt/gal is allowed to flow into the tank at a rate of 2 gal/min, and the mixture flows out of the tank at a rate of 2 gal/min. Sketch a picture and define your variables. Set up the DE that fits this situation, and simplify your DE. Be sure to use proper notation. You do NOT have to solve the DE. What type of DE is this? (Integrate, separable, linear, linear inside, homogeneous, Bernoulli, or exact?) What is the initial condition that would help you find the IVP solution?A person has 3 liters of extracellular water in blood (vascular volume). Assuming 70% of the body weight is from water. Calculate the weight of this person.