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At constant temperature PV = Constant, where P is the pressure and V is the
Volume. Find the rate at which the volume is changing with respect to pressure when volume is 6 units and pressure is 8 units?
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A man 6 feet tall moves away from a source of light 25 feet above the ground level. The man walks at a speed of 5 mph. At what rate is the length of his shadow changing?
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A cone has a depth of 16 feet. Its radius at the top is 12 feet. Water is poured into it at the rate of 2 cubic feet per second. Find the rate at which water level rises in the cone, when the depth of water level is 8 feet?
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| A metal cube is being heated. Its edge is expanding at the rate of 0.03 ft / min. Find the rate at which its volume is increasing, when the edge is 12 ft long? |
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The perimeter of a rectangle is 200 ft. What is its length and width in ft. so that the area is maximum?
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The sum of the lengths of the hypotenuse and another side of a right angled triangle is given. At what angle, between the hypotenuse and the side, is the area of the triangle maximum?
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