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Find the unit vector perpendicular to each of a= 6i+2j+3k and b=3i-6j-2k
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
John has 11 more chocolate bars than Rick. Cathy has 8 times as many chocolate bars as John. If Rick has r chocolate bars, which expression below represents how many chocolate bars Cathy has, c?
The bucket is filled with 45 pounds of water and is pulled up at a rate of 1.9 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well. Your answ..
Nielsen media research provides two measures of the television viewing audience: a television program rating, which is the percentage of households with televisions watching a program and a television program share
Applications of quadratic equations: Maxima and minima and What depth will provide a maximum cross sectional area and thereby provide for the greatest flow of water
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
You're buying a new car that sells for $12006. The state sales tax rate, as a decimal, is .07. How much will the sales tax come to?
Find the maximum rectangular area available within the annular footprint of the robot's workspace and formulate the optimal design problem. Clearly state the objective function, design variables and constraints.
A fence is to be built to enclose a rectangular area of 250 square feet. The fence along three sides is to be made of material that costs 5$ per foot, and the material for the fourth side costs 14 dollars per foot.
The price of a gallon of unleaded gas has risen to $2.88 today. Yesterday's price was $2.81 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
A certain university has a computer lab with 219 terminals. Each day there is a 3% chance that a given terminal will break and a 70% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will b..
Find the 99% confidence interval
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