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A tank on a water tower is a sphere of radius10 feet. Determine the depths of the water when the tank is filled to one-fourth and three-fourths of its total capacity. (Note: Use thezero orroot feature of a graphing utility after evaluating the definite integral. Round your answers to two decimal places.)
Ahmed has first half of a treasure map, which indicates that the treasure is buried in the desert (2x + 6) paces from Castle Rock. Vanessa has the other half of the map.
Mary is taking courses in both Reading and English. She estimates her probability of passing Reading of 0.4 and English at 0.6 and she estimates her probability of passing at least one of them at 0.8.
What does it mean to refer to a 20-in TV set? Such unitsrefer to the diagonal of the screen. A 25-in TV also has a width of 20 inches. What is the height of a 20-in TV?
Find the area of the surface generated by revloving y= 2x3 about the x-axis for 0 ≤ x ≤ 2. Evalute an equivalent integral, in terms of y, to find the surface aera in part A.
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
a rancher has 1200 meters of fence to enclose in a rectangular corral with another fence dividing it in the middle. what is the largest area that can be enclosed within 1200 mteres.
Important information about Probability : Random Selection, A man has been guessing colors of cards drawn from a standard deck of cards. During the first 50 draws he kept track of the number of cards of each color
finding the difference of the side lengths of a triangle.triangle abc has a perimeter of 2007 units. the sides have
How large a sample size will need to be selected if we wish to have a 95% confidence interval that is accurate to within 1%.
Let g(x)=x^2 for rational x and g(x)=0 for irrational x. Calculate the upper and lower Darboux integrals for g on the interval [0,b] . Is g integrable on [0,b]
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
suppose a dollar placed into an account triples every 12 years. How much will be in the account after 60 years?
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