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Solve: ∫[(x4 – 2x3 + x2 – 2x)/(x-2)] dx
A and B together can complete a task in 12 days. B alone can complete it in 20 days. How long will it take A to complete the task if he works alone?
Vessel A contains a mixture of Apple and Orange juice in the ratio of 7:5, while Vessel B contains a mixture of Orange and Grapes juice in the ratio of ...
A square prism has a base side of 10 cm and a height of 15 cm. If a cone with the same base and height is removed from the prism, what is the volume of ...
If sin⁶ x + cos⁶ x = 7/8, find sin⁴ x + cos⁴ x:
A car travels 60 km at a speed of 40 km/h and another 90 km at a speed of 60 km/h. What is the average speed of the car for the entire journey?
A rectangular water reservoir contains 42,000 liters of water. Find the depth of water in the reservoir, if the base measures 6m by 3.5m
The average weight of 12 children rises by 2.15 kg after one of the children, who weighs 56 kg, is replaced by a new child. What is the weight of the ne...
A rectangular prism has dimensions 10 cm × 6 cm × 4 cm. If a cube of side 2 cm is removed from one of the corners, what is the volume of the remaining...
A boat can travel 36 km upstream in 6 hours. The same boat can travel 63 km downstream in 3 hours. What is the speed of the boat in still water?