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BAED-BUSC2112 Basic Calculus

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Evaluate the radical function below from x = 2 up to x = 3.

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Find the area underneath the curve. Express your answer into 2 decimal places. 

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Evaluate:

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Evaluate the function below from x = 1 up to x = 3.

All associated angles are in radians.

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What is the definite integral of:

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Which of the following is the general solution of:

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Evaluate:

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Which of the following is the general solution of:

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Boyle's law for the expansion of gas is PV = C, where P is the number of pounds per square unit of pressure, V is the number of cubic units of volume of the gas, and C is a constant. At a certain instant the pressure is 3000 pounds per square feet, the volume is 5 cubic feet, and the volume is increasing at the rate of 3 cubic feet per minute. Find the rate of change of the pressure at this instant.

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A spherical snowball is being made so that its volume is increasing at the rate of 8 cubic feet per minute. Find the rate at which the radius is increasing when the snowball is 4 feet in diameter?

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