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Applications of quadratic equations: Maxima and minima
A rain gutter is to be made up of rectangular aluminum sheets 12 inches wide by turning up the sides edges 90 degrees. What depth (of the edges) will provide a maximum cross sectional area and thereby provide for the greatest flow of water?
a rectangular sheet of paper of area a = 170 sq cm is rolled into a right circular cylinder by joining opposite ends of the paper. If this produces a cylinder having volume V = 300cm, determine the radius r of the cylinder.
Find the length of an arc intercepted by an a central angle of .769 radian on a circle with radius 11.4cm.
A train running at a uniform speed passes a bridge 275 m in 15 sec abd another bridge 425 m long in 21 sec find the length of the train.
Find how many ways are there of winning the World Series in exactly six games if the winning team wins the first game?
You earn 50,000 per year and in the 28% fed tax bracket. Each year you contribute 2,500 tax free to an IRA account. The account earns 8% annual interest. In addition, the amount of tax that you save each year by making these pre tax contributions ..
suppose 5 apples in a barrel of 25 apples are known to be rotten. draw a historgram for the number of rotten apples in a sample of 2 apples.
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
A client has an order for a foot soak prepared with 25% povidine iodine and the total volume of preparation is to be 1 liter. How many mls of povidine/iodine should be used?
Could the statement in the brochure be substantiated on the basis of these findings? Test with .05 significance level. Also calculate the P-value and interpret the result.
find an equation of the tangent linr to the curve at the given point y=2x^3-5x at the point (-1,3)
Choose a flat monthly rate and cost per minute and insert the values you have chosen for m and b into the equation. Then use this equation to find the total monthly cost, C, if 79 minutes are used.
Set up a system of linear equations to describe the following problem and solve the system using one of the methods discussed this week. At the end of the year, a business has made a profit of $151,000.
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