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You are designing a rectangular poster to contain 80 in^2 of printing with 3 inch margins at the top and bottom and 1.5 inch margins at each side. What are the overall dimensions that will minimize the amount of paper use?
Compute the integral of xdz (|z|=r) for the positive sense of the circle in two ways first by using parametrization and second by observing that x=(1/2)(z+z conjugate)=(1/2)(z+r^2/z) on the circle.
Find the total profit,the maximum value of the total profit, and the value of x at which it occurs when the revenue is given by R(x)=210x-x^2 and the cost is given by C(x)=5000+8x.
How much will the company owe on the equipment if they buy it after 15 months?
Appropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability
A legislative committee consists of 8 Democrats, 6 Republicans, and 1 Independent. A delegation of 3 is selected to visit a small Pacific island republic-
Expected Value : key informaiton, After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and loose $3 million if not
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Construct a 99% confidence interval for the population mean total fat, in grams per serving.
A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.
Are there any absorbing states? I know that I have to set up a transition matrix, but I am having trouble after that. Can you help me?
A box has square ends and a rectangular base but no top, the volume is 288 cubic cm. What is the minimum total area of the sides and base, and what are the corresponding dimensions?
Calculating Production and Material Consumption Rates, The Ottawa Coat company manufactures winter coats and spring jackets. The winter coat requires 4m of material while the spring jacket requires just 1m
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