Questions from General Calculus


Q: High blood pressure results from constriction of the arteries. To maintain

High blood pressure results from constriction of the arteries. To maintain a normal flow rate (flux), the heart has to pump harder, thus increasing the blood pressure. Use Poiseuille’...

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Q: The dye dilution method is used to measure cardiac output with 6

The dye dilution method is used to measure cardiac output with 6 mg of dye. The dye concentrations, in mg/L, are modeled by / where t is measured in seconds. Find the cardiac output.

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Q: After a 5.5-mg injection of dye, the

After a 5.5-mg injection of dye, the readings of dye concentration, in mg/L, at two-second intervals are as shown in the table. Use Simpson’s Rule to estimate the cardiac output.

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Q: The graph of the concentration function c(t) is shown

The graph of the concentration function c(t) is shown after a 7-mg injection of dye into a heart. Use Simpson’s Rule to estimate the cardiac output.

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Q: An aquarium 5 ft long, 2 ft wide, and 3

An aquarium 5 ft long, 2 ft wide, and 3 ft deep is full of water. Find (a) the hydrostatic pressure on the bottom of the aquarium, (b) the hydrostatic force on the bottom, and (c) the hydrostatic forc...

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Q: A tank is 8 m long, 4 m wide, 2

A tank is 8 m long, 4 m wide, 2 m high, and contains kerosene with density 820 kg/m3 to a depth of 1.5 m. Find (a) the hydrostatic pressure on the bottom of the tank, (b) the hydrostatic force on the...

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Q: A vertical plate is submerged (or partially submerged) in water

A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...

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Q: A vertical plate is submerged (or partially submerged) in water

A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...

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Q: A vertical plate is submerged (or partially submerged) in water

A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...

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Q: A vertical plate is submerged (or partially submerged) in water

A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...

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