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Use Table 1 to evaluate all
90. Pollution. The concentration of particulate matter (in parts per million) during a 24-hour period is given approximately by
where t is time in hours. Find the average concentration during the period from t = 0 to t = 24.
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- In Problems 85–90, use the Intermediate Value Theorem to show that each function has a zero in the given interval. Approximate the zerocorrect to two decimal places.arrow_forwardFind the total income produced by the continuous income stream with rate of flow f(t)-2000x in the first 5 years, wheret is time in years. This is a numerical answer problem, so just type in the numeric answer. The result is a whole number and do not round your answer.arrow_forwardPlease Help ASAP!!!arrow_forward
- 4. The growth rate of a colony of ants is given by the formula 10t 2 (1+t²)² where t is measured in hours. If 100 ants are initially present then how many are present after 2 hours? The number of ants present after 2 hours isarrow_forward.Suppose that for a certain disease the cumulative number of deaths is given by 7.8 C(t) = , 1+0.001(s – 30)² ds (people) 0 corresponds to the first day of the outbreak. Find the death rate, as a function of days t where t R(t).arrow_forward3. Students in a mathematics class were given an exam and then retested monthly with equivalent exams. The average score S (on a 100-point scale) for the class can be modeled by S = 80 – 14ln(t + 1), 0arrow_forwardThe population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 400,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 50,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time. (Note that the variable t represents days.)arrow_forwardEmissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain". The acidity of liquids is measured by pH on a scale of 00 to 14.14. Distilled water has pH 7.0,7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so "acid rain" is sometimes defined as rainfall with a pH below 5.0.5.0. The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.43 and standard deviations 0.54. What proportion of rainy days have rainfall with pH below 5.0?5.0?arrow_forwardPlease Help ASAP!!!arrow_forwardConsider the function y = 3x - C(In x) where C represents a constant. If this function has a local maximum at x = 5, then what value must the constant C have? %3Darrow_forwardThe number of citizens of a certain modern city is known to increase at a rate proportional to the number of people currently living in the city. After three years the population has doubled, and after five years the population is 18,000. a. Find the expression for the number of people living in the city at any time t. b. Compute population after 10 years.arrow_forwardEmissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain". The acidity of liquids is measured by pH on a scale of 00 to 14.14. Distilled water has pH 7.0,7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0.5.0. The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.435.43 and standard deviation 0.54.deviation 0.54. What proportion of rainy days have rainfall with pH below 5.0?5.0?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage