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A tank is in the form of an inverted cone having an altitude of 12m and radius of 4m. Water is flowing into the tank at a rate of 2 m/min. How fast is the water level rising when the water is 6m deep?
So, it is desirable to design a system with a variable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the variable rate of rotation if |dx/dt| = 2 feet per second.
Please give a short answer as to why the following is true: Let p(x) = Ax^ 2+ Bx + C. For any interval [a,b] the value of c guaranteed by the Mean Value theorem is the midpoint of the interval.
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
Objective question based on probability distribution.
For what values of a does the following series converge?
The lateral area of a rectangular prism with height of 5 feet is 175 feet squared. What is the perimeter of the base?
A box with a square base and open top must have a volume of 500000 cm3. Find the dimensions of the box that minimize the amount of material used.
there are four shapes in group a. all of the shapes have between 3 and 5 sides and are not regular. inside each shape there is one acute angle. what are the shapes?
Find formulas for the upper and lower limits ( u and l) as linear equation involving the age x. What is the target heart rate zone for a 20-year-old? What is the target heart rate zone for a 40-year-old?
You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence.
Probability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having..
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
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