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A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs \$5 per square foot and the metal for the sides costs \$2 per square foot. Find...

An open box is to be made out of a 6-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box...

Hi, I'm trying to find mass of a cylinder using triple integrals. The data I have: - height = h - base is a circle and its radius = a - the density in a point P is directly...

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing \$30/ft and on the other three sides by a metal fence costing \$10/ft. If the area of the garden is 22...

In a survey of 300 individual investors regarding subscriptions to the New York Times (NYT), Wall Street Journal (WSJ), and USA Today (UST), the following data were obtained. 120 subscribe to...

A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 3 as in 2, is not in state 4, and is in state 1 with probability 0.2. Find the state vector...

The manager of a large apartment complex knows from experience that 110 units will be occupied if the rent is 420 dollars per month. A market survey suggests that, on the average, one additional unit...

Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling increases. A raindrop has an initial downward velocity of 10 m/s and its downward...

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