Questions from General Calculus


Q: A cube with 20-cm-long sides is sitting on

A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. Find the hydrostatic force on (a) the top of the cube and (b) one of the sides of the cube....

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Q: A dam is inclined at an angle of 30° from the

A dam is inclined at an angle of 30° from the vertical and has the shape of an isosceles trapezoid 100 ft wide at the top and 50 ft wide at the bottom and with a slant height of 70 ft. Find the hydros...

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Q: A swimming pool is 20 ft wide and 40 ft long and

A swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft and the deep end, 9 ft. If the pool is full of water, find the hydro static for...

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Q: A metal plate was found submerged vertically in seawater, which has

A metal plate was found submerged vertically in seawater, which has density 64 lb/ft3. Measurements of the width of the plate were taken at the indicated depths. Use Simpson’s Rule t...

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Q: The function A defined by / is called an Airy

The function A defined by is called an Airy function after the English mathematician and astronomer Sir George Airy (1801–1892). (a) Find the domain of the Airy function. (b) Graph t...

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Q: The masses mi are located at the points Pi. Find the

The masses mi are located at the points Pi. Find the moments Mx and My and the center of mass of the system.

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Q: The masses mi are located at the points Pi. Find the

The masses mi are located at the points Pi. Find the moments Mx and My and the center of mass of the system.

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Q: Sketch the region bounded by the curves, and visually estimate the

Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid.

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Q: Sketch the region bounded by the curves, and visually estimate the

Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid.

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Q: Sketch the region bounded by the curves, and visually estimate the

Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid.

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