Questions from General Calculus


Q: A 1600-lb elevator is suspended by a 200-ft

A 1600-lb elevator is suspended by a 200-ft cable that weighs 10 lb/ft. How much work is required to raise the elevator from the basement to the third floor, a distance of 30 ft?

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Q: Evaluate the integral. f-55 e dx

Evaluate the integral. f-55 e dx

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Q: Find the volumes of the solids obtained by rotating the region bounded

Find the volumes of the solids obtained by rotating the region bounded by the curves y = x and y = x2 about the following lines. (a). The x-axis (b). The y-axis (c). y = 2

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Q: Evaluate the limit. lim x→1+ (x

Evaluate the limit. lim x→1+ (x / 1 – x – 1/ ln x)

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Q: The left, right, Trapezoidal, and Midpoint Rule approximations were

The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f20 f (x) dx, where f is the function whose graph is shown. The estimates were 0.7811, 0.8675, 0.8632, and 0.9540,...

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Q: Evaluate the limit. lim x→(π/2)-

Evaluate the limit. lim x→(π/2)- (tan x) cos x

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Q: The angle of elevation of the sun is decreasing at a rate

The angle of elevation of the sun is decreasing at a rate of 0.25 rad/h. How fast is the shadow cast by a 400-ft-tall building increasing when the angle of elevation of the sun is π/6?

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Q: A paper cup has the shape of a cone with height 10

A paper cup has the shape of a cone with height 10 cm and radius 3 cm (at the top). If water is poured into the cup at a rate of 2 cm3/s, how fast is the water level rising when the water is 5 cm deep...

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Q: A balloon is rising at a constant speed of 5 ft/

A balloon is rising at a constant speed of 5 ft/s. A boy is cycling along a straight road at a speed of 15 ft/s. When he passes under the balloon, it is 45 ft above him. How fast is the distance betwe...

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Q: A water skier skis over the ramp shown in the figure at

A water skier skis over the ramp shown in the figure at a speed of 30 ft/s. How fast is she rising as she leaves the ramp?

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