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A cylindrical tank, shown to the right, has height 6 m and radius 1 m. If the tank is full of water, how much work is required to pump the water to the level of the top of the tank and out of the tank? Use 1000 kg / m3 for the density of water and 9.8 m / s2 for the acceleration due to gravity. Is it true that it takes half as much work to pump the water out of the tank when it is half full as when it is full? Explain. The work required is approximately J. (Round to two decimal places as needed.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Yes. It takes exactly half as much work to pump the water out of the tank when it is half full. No. The amount of work required to pump the water out of the tank when it is half full is approximately J. (Round to two decimal places as needed.) Evaluate the following derivative. d / dx(sin(In 3x)) d / dx(sin(In 3x)) = Evaluate the following integral. dx / 3x In x In 3(In x) Choose the correct answer below. 1 / 3 In 2(In 4) - 1 / 3 In 2(In 5) 1 / 6 In 2(In 4) - 1 / 6 In 2(In 5) ? 1 / 3 In 3(In 4) + 1 / 3 In 3(In 5) 1 / 3 In 3(In 4) + 1 / 3 In 3(In 5) 1 / 6 In 3(In 4) - 1 / 6 In 3(In 5) 1 / 3 In 2(In 4) + 1 / 3 In 2(In 5) ? 1 / 6 In 2(In 4) + 1 / 6 In 2(In 5) Devise an exponential decay function that fits the given data, then answer the accompanying questions. Be sure to identify the reference point (t = 0) and units of t. The pressure of a certain planet's atmosphere at sea level is approximately 1000 millibars and decreases exponentially with elevation. At an elevation of 25,000 ft, the pressure is one-third of the sea-level pressure. At what elevation is the pressure half of the sea-level pressure? At what elevation is it 3% of the sea-level pressure? What is the reference point (t = 0)? the elevation at sea level, 0 ft he pressure at sea level, 1000 millibars the elevation, 25,000 ft 3% of the sea-level pressure What are the units of t? pressure levels millibars feet At what elevation is the pressure half of the sea-level pressure? feet (Do not round until the final answer. Then round to the nearest whole number as needed.) At what elevation is the pressure 3% of the sea-level pressure? feet (Do not round until the final answer. Then round to the nearest whole number as needed.)
Explanation / Answer
2)(cos9ln3x))*(1/3x)*(1/3)= (x/9)(cos(ln3x))
