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The safe load that a rectangular beam can support varies jointly as the width aand square of the depth of the beam and inversely as iths length. A beam 4 inches wide, 6 inches deep, and 25 feet long can support a safe load of 576 pounds. Find the safe load for a beam that is of the same material but is 6 inches wide, 10 inches deep, and 20 feet long.
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
Now, suppose that the company currently has 180 units in stock, and it will not be receiving any further shipments from its supplier for at least 3 weeks. What is the probability that the company will run out of units?
Let V be the set of functions having the set of real numbers as domain whose graphs pass through the point:
Let F be a field, let R be a ring with more than one element, and let phi:F->R be a surjective homomorphism.
The yearly production of a 5 foot orange tree is 36 pounds of oranges. A 14 foot tree produces 72 pounds. What is the predicted production of an 18 foot tree?
To check whether the representation of input elements does not affect the running time of an algorithm
How can you compute the union and intersectio of two sets, using some of the methods that the set interfce provides? hint: your code should not be bigger than four lines
A 1024 × 768 image is displayed, noninterlaced, at a rate of thirty frames per second.
Suppose that 5000 sales invoices are separated into four strata. Stratum 1 contains 50 invoices, stratum2 contains 500 invoices, stratum 3 contains 1000 invoices and stratum 4 contains 3450 invoices. A sample of 500 sales invoices is needed. What ..
A trapezoid with bases 4 m and 6 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate..
The probability that both defective lights will be found, A box contains two defective Christmas tree lights that have been inadvertently mixed with eight non-defective lights. If the lights are selected one at a time without replacement
A plane is heading due south with an airspeed of 282 mph. A wind from a direction of 57 degrees is blowing at 15 mph. What is the ture course and gournd speed of the airplane?
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