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Suppose that 740 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
Prove that there exist real numbers which are not algebraic.
Please show work step by step. Find the derivatives of.
Question about Probability and combinations, There are 5 rotten plums in a crate of 25 plums. How many samples of 4 of the 25 plums contain
's salary is 1 cent/second for a 40 hour work week. Tiare's salary is $1400 for a 40 hour work week. Who has a higher salary?
Explaining how to derive the formula for the distance between two points -Prepare an essay of 1,000 words explaining how to derive the formula for the distance between two points in analytic geometry 3-space.
Find the mean and standard deviation for the binomial experiment where n=160, p=0.625
Biologists have noticed that the chirping of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 115 chirps per minute at 67 degrees Fahrenheit and 176 chirps per minut..
There are 7 women and 9 men on a faculty. How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
A bank will only give a mortgage loan if the total amount of monthly payments for all loans, including the mortgage, is no more than 36% of the monthly gross income. What is the maximum monthly mortgage loan payment for which Shawn can be approved..
The equivalent impedance Z of two impedances Z1 and Z2 in parallel is given by the formula 1/Z = 1/Z1 + 1/Z2.
Suppose the farmer buys insurance for $3000 that pays him $20,000 in the event of a severe storm that destroys much of the crop, and pays nothing otherwise. Find the probability distribution of his profit . Find the mean, and summarize the effect ..
Composition of Functions and Isomorphisms, I can't prove the following statements about functions f:A->B and g:B->C, 1. If gof is one-to-one then so is f.
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