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A trough is 7 meters long, 3 meters wide, and 1 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 3 meters). The trough is full of water (density ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
Q. solve using simplex method, Hence using the sensitivity analysis, find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15
Solve The heat equation du/dt = d^2u / dx^2 (note: partial derivatives), u(x, 0) = sin^2(x), u(0, t) = 0, u(Pi, t) = 0, 0
A farmer Wants to fence a rectangular yard using 260 ft of fencing. What dimensions should he use for the greatest area?
A tray of electronic components contains 20 components, 4 of which are defective. If 4 components are selected, what is the possibility of each of the following? (Round your answers to five decimal places.)
A rectangular building lot measures 295 ft. by 438 ft. Find the number of acres in the lot. Round to two places after the decimal. Show all steps taken to find the solution.
Find the derivative of y with respect to x. y = sec ^ -1 (x^2 + 1), x > 0
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.25 hour is desired. Past studies suggest that a population standard deviation of 1.7 hours is reasonable.
How many of each type of vessel should be used in order to keep the operating costs to a minimum?
The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds and 10 inches from the floor when the w..
A company uniformly receives 20 phone calls from 9am -7 pm What is the probability that the number of calls between 12 :00 and 1:00 will be:
Find an expression for the time he will take to get from A to B, in terms of theta.
Mr. Brown has 10 black gloves and 12 brown gloves in his closet. He blindly picks up some gloves from the closet. What is the minimum number of gloves Mr. Brown will have to pick to be certain to find a pair of gloves of the same color?
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