A manufacturer of compressed gasses is looking at new legislation that would require it to reduce the amount of pollution it produces. The cost C, in dollars, of removing p percent of the particulate pollution from the exhaust is Let C(p) Then C''(p) 9700p 100-p =

Q: y aln(a) – y = 0; y(2) = In(4)

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Q: 11. A private plane's altitude (in feet) at x minutes after take-off (from sea level) is given by…

A: The rate of change of a function f(x) with respect to x is f'(x)

Q: 20. A model that can be used for predicting the height H (in cm) of a child based on his or her age…

A: The height of a x year old child is given by the function: H(x)=70.228+5.204x+9.222 ln x

Q: 2. The decay of a certain substance is modelled by the function N(t) = 100 (2.7) ¹/320, where the…

A: We have Decay function: N(t)=100(2.7)-t/3-20  Where N represents number of particles in a time  t…

Q: 5. If the population P of bacteria (in units of 1000) is declining because of a toxin, its rate of…

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Q: A tank contains 150 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

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Q: 3. When polluted water begins to flow into an unpolluted pond, the concentration of pollutant, C, in…

A: Given that The concentration of pollutant C in the pond at t hours is modelled by

Q: The sales in thousands of new type of product are given by the formula S(t) = 170 – 80e-0.9t where t…

A:

Q: 3. Consider an investment B that grows at the rate of B'(t) = 4879.016418(1.05) dollars/year a. Find…

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Q: Suppose P(t) represents the population of a certain mosquito colony, wheret is measured in days. The…

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Q: 7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per…

A: Introduction: When a function is given, we determine the average value by integrating the function.…

Q: 004 14) The total health expenditure per capita is modeled by H(1) 67e where is the number of years.…

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Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

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