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A farmer wants to make three identical rectangular enclosures along a straight river, as in the diagram shown below. If he has 960 yards of fence, and if the sides along the river need no fence, what should be the dimensions of each enclosure if the total area is to be maximized?
A farmer has 90 feet of fencing with which to enclose two rectangular pens adjacent to a long existing wall, as shown below. He will use the wall for one side and the available fencing for the long side parallel to the wall
Use the values a = 4, b = 0, c = 0, d = 3, e = –1, and f = –2 to rewrite the standard from for a conic section
the standard IQ test has a mean of 98 and the standard deviation of 14. We want to be 99% certain that we are within the 4 IQ points of the true mean. Determine the required sample size.
anuj has been serving 23 cups of lemonade to each student. if he has 1 12 cups of lemonade left how many students can
The combined degrees of freedom
A random sample of 100 light bulbs has a mean lifetime of 3000 hours. Assume that the population standard deviation of the lifetime is 500 hours. Construct a 95% confidence interval estimate of the mean lifetime
MEAN VARIANCE PORTFOLIO THEORY HELPProve that if x1, x2 with x1+x2 = 1 give the proportion of wealth invested in two assets that deliver a percentage return R1 and R2 respectively, then the portfolio return is given by R = x1R1 + x2R2
find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. x-intercepts 4 and 0, lowest point has y-coordinate -12.
Let E be the region in R3 bounded by the three coordinate planes and the plane x+4y+2z = 4. Set up a triple integral which calculates the volume of E (you do not need to evaluate).
What is the least amount of wrapping paper that is needed to wrap a gift box that is 2 feet by 1 foot by 3 feet?
You are reducing a map of dimensions 2 feet by 3 feet to fit to a piece of paper 8 inches by 10 inches. What are the dimmensions of the largest possible map that can fit on the page?
A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 me..
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