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A rancher wants to fence in 3 adjacent rectangular pens in a row. Adjacent pens share one fence, and all pens are of equal size. If the rancher uses 144 yards of fencing, find the maximum total area he can enclose.
from a boat on the lake, the angle of evelvation to the top of a cliff is 29 degrees and 26 minutes. if the base of the cliff is 1878 feet from the boat, how high is the cliff?
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
George has just signed a 3 year lease on a $45000 car with a residual of 62% at 3.5 APR compounded monthly.
two minor league baseball players got a total of 378 hits. washington had 16 more hits than sanchez. find the number of hits for each player.
Dividing a complex number with another number
The sales of a small company were $27000 in its second year of operation and $63000 in its fifth year. Let y represent sales in the xth year of operation. Find the slope of the sales line.
Which normal distribution has a wider spread: Distribution A with a mean of one and a standard deviation of two, or Distribution B with a mean of two and a standard deviation of one? Explain your answer.
Which of the following variable(s) are both quantitative and continuous?
Using calipers, you find that a copper cylinder has length 8.625 and diameter 1.218 . An electronic pan balance shows that its mass is 89.84 . Find the cylinder's density.
A rubber stopper attached to a string is swung over the head of a physics student at a rate of 2 rotations per second. If the string has a length of 0.25 m what is the tangential speed of the stopper?
Let y = 45,000(0.97)x represent the purchasing power of $45,000 with an inflation rate of 3% per year, where x represents the number of years. What is the purchasing power when x = 0?
How would I solve the characteristic equation for B and show that the eigenvalues are 0, 2 and 4? For each eigenvalue, how would I find a corresponding eigenvector?
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