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A cylindrical can is to hold 20 m.3 The material for the top and bottom costs $10/m.2 and material for the side costs $8/m.2 Find the radius r and height h of the most economical can.
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A container in the shape of a right circular cylinder with no top has surface area 3 ft.2 What height h and base radius r will maximize the volume of the cylinder ?
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Complete the square to find the center and radius of the circle x^2+y^2+6x-8y+20=0
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During a heavy downpour, 3.6 cm of the rain fell on the whole of Singapore. If total area of Singapore is 660 Km^2, calculate the number of litres of water that fell on Singapore during the downpour
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7 years
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You are standing at the edge of a slow-moving river which is one mile wide and wish to return to your campground on the opposite side of the river. You can swim at 2 mph and walk at 3 mph. You must first swim across the river to any point on the opposite bank. From there walk to the campground, which is one mile from the point directly across the river from where you start your swim. What route will take the least amount of time ?
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anonymous
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A semi-elliptical arch is 40 feet wide and 10 feet high. Find its height 5 feet from the middle. Round to the nearest hundredth.
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