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calc the revenue in dollars for producing x chairs is given by r(x)=50 and the cost to produce the chairs is given by x(x)=.001 x^3-.1x^2+12x+1500. Find the production level that will maximize the profit.
If the water level is rising at a rate of 20.000 centimeters per minute when the height of the water is 2.500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
cterial colony doubles every five hours. Can you find the hourly growth factor and hourly growth rate?
Four number are drawn at random from a box of ten numbers 0, 1,....,9. Find the probability that the largest number drawn is a six.
a rectangular pen is built with one side against a barn. Two hundred meters of fencing are used for the other three sides of the pen. What dimesnsions maximize the area of the pen?
63 percent of men consider themselves basketball fans. You randomly select 10 men and ask each if he considers himself a basketball fan. Find the probability that the number who consider themselves basketball fans is (a) exactly eight, (b) at leas..
Based on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product.
Students log on to California Virtual Campus with a user name consisting of eight characters: four uppercase letters of the alphabet followed by four digits.
Write the fitted regression equation.
Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
A swimming pool is circular with a 38-ft diameter. The depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end. Find the volume of water in the pool.
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
One car is selected at random from the cars with vehicle tags from these cities, What is the probability that this car is from Salem?
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