Questions from General Calculus


Q: Suppose that for the tank in Exercise 23 the pump breaks down

Suppose that for the tank in Exercise 23 the pump breaks down after 4.7 × 105 J of work has been done. What is the depth of the water remaining in the tank? Data from Exercise 23: A tan...

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Q: Find the area of the shaded region. /

Find the area of the shaded region.

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Q: Sketch the region enclosed by the given curves and find its area

Sketch the region enclosed by the given curves and find its area.

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Q: Solve Exercise 24 if the tank is half full of oil that

Solve Exercise 24 if the tank is half full of oil that has a density of 900 kg/m3.

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Q: When gas expands in a cylinder with radius r, the pressure

When gas expands in a cylinder with radius r, the pressure at any given time is a function of the volume: P − P(V). The force exerted by the gas on the piston (see the figure) is the product of the pr...

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Q: In a steam engine the pressure P and volume V of steam

In a steam engine the pressure P and volume V of steam satisfy the equation PV1.4 = k, where k is a constant. (This is true for adiabatic expansion, that is, expansion in which there is no heat transf...

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Q: The kinetic energy KE of an object of mass m moving with

The kinetic energy KE of an object of mass m moving with velocity v is defined as / 2 mv2. If a force f(x) acts on the object, moving it along the x-axis from x1 to x2, the Work-Energy Theorem states...

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Q: Suppose that when launching an 800-kg roller coaster car an

Suppose that when launching an 800-kg roller coaster car an electromagnetic propulsion system exerts a force of 5.7x2 + 1.5x newtons on the car at a distance x meters along the track. Use Exercise 31(...

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Q: (a) Newton’s Law of Gravitation states that two bodies with

(a) Newton’s Law of Gravitation states that two bodies with masses m1 and m2 attract each other with a force where r is the distance between the bodies and G is the gravitational con...

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Q: The Great Pyramid of King Khufu was built of limestone in Egypt

The Great Pyramid of King Khufu was built of limestone in Egypt over a 20-year time period from 2580 bc to 2560 bc. Its base is a square with side length 756 ft and its height when built was 481 ft. (...

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