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The base of an aquarium with volume V = 360 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Find a hyperbolic rigid motion that transforms the bowed geodesic from (-4,0) to (2,0) to the bowed geodesic from(10,0) to (20,0)?
customer from Cavallaro's Fruit Stand picks a sample of 4 oranges at random from a crate containing 65 oranges, of which 5 are rotten. What is the probability that the sample contains 1 or more rotten oranges.
A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet.
A rectangular park measures 300 ft by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular.
Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.
Solve the following linear system using Gaussian elimination. Solve the following linear system using Gaussian elimination.
Find the probability that everyone who appears for the ride will get a seat.
Two motorcycles travel toward each other from cities that are about 665 km apart at rates of 110 km/hr and 80 km/hr. They started at the same time. In how many hours will they meet?
What is the standard deviation of this sampling distribution?
what is the distance between the origin and the point (5,12)? if necessary, round your answers to two decimal places.
If the solution entering the tank is 20% nitric acid, determine the volume of nitric acid in the tank after t minutes.
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