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a gate in an irrigation canal is constructed in the form of a trapezoid 3 ft wide at the bottom, 5 ft wide at the top, and 2 ft high. it is placed vertically in the canal so water just covers the gate. find the hydrostatic force on one side of the gate.
Given a cancellation rate of 10%, how many seats should the airline sell in order to minimize their expected losses?
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
Assume that d=sa+tb is a linear combination of integers a and b. Find infinitely many pairs of integers ( s sub k, t sub k ) with d=s sub k a + t sub k b
The length of a rectangle is 8 cm greater than its width. Find the dimensions of the rectangle if its area is 105 cm2.
Natasha and Allison are playing a tennis match where the winner must win 2 sets in order to win the match.
A rectangular box without a lid is to be made from( 12 m^2 ) of cardboard. Compute the maximum volume of such a box using a method of Lagrange Multipliers.
The area (A) of a double tennis court is 312 square yards. Its length is 2 yards longer than twice its width. Find the length (L) and the width (W) of the tennis court.
A computer programming team has 12 members. How many ways can a group of 7 (out of the 12 members) be chosen to work on a special project? Explain.
Elena bicycles 5km/h faster than Dennis. In the same time it takes Dennis to bicycle 36km, Elena can bicycle 51km. How fast does each bicyclist travel?
You are the process improvement manager and have developed a new machine to cut insoles for the company's top-of-the-line running shoes.
Angie's puppy weighed 3kg when she first got it. Two years later it weighed 9kg. How many grams of weight did the puppy gain.
Let R be the shaded region in the first quadrant enclosed by the graphs of y=e^(-x^2), y= 1-cos x, y-axis.
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