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Water is leaking out of an inverted conical tank at a rate of 7800 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 7 meters and the diameter at the top is 4 meters. If the water level is rising at a rate of 24 centimeters per minute when the height of the water is 2 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Transform the equation to standard form and find the center and radius of the circle:
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
Find each of the following for the given inner product defined in R^2 =3u(subscript 1)v(subscript 1) + u(subscript 2)v(subscript 2)
Where are you getting 300 from? What month are you starting the model from?
A basket contains 6 red apples and 9 green apples . A sample of 5 apples is drawn. Find the probability that the sample contains
find the number of computer desk that can be produced for $9660.
Give a recursive algorithm for computing n * a using only addition, where n is a positive integer and a is a real number. (add a to itself n times).
A wrench 0.6 meters long lies along the positive -axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the..
Solve the given triangle.
The lifetimes of two car batteries (Brand A and B) are independent exponential random variables with means 12 hours and 10 hours, respectively.
Investigate the presence of limit cycles both analytically and numberically and investigate the presence of homoclinic/heteroclinic orbits and global bifurcations numerically.
The minute hand on a watch is 5 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
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