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A draining hemispherical reservoir: Water is flowing at the rate of 6 m3/min from a reservoir shaped like a hemispherical bowl of radius 13 m, shown here in profile. Answer the following questions, given that the volume of water in a hemispherical bowl of radius R is V = (π/3)y2(3R - y) when the water is y meters deep.
a. At what rate is the water level changing when the water is 8 m deep?
b. What is the radius r of the water's surface when the water is y m deep?
c. At what rate is the radius r changing when the water is 8 m deep?
the distance around a standard tennis court is 228 feet. if the length of the court is 6 feet more than 2 times the
If Barry purchases a 2,000 Roth IRA when he is 25 years old and expects to earn an average of 6% per year compounded annually over 35 years( until he is 60), how much will accumulate in the investment?
Write and solve equation to find the number of square yards of carpet Ming for which the total cost charged by the two companies will be the same.
Walmart has set precedence with its RFID technology. Review your textbook, library journals and business websites regarding Walmart and answer the guiding questions, keeping the company in mind.
A manufacturer estimates that if x units of a particular commodity are produced, the total cost will be C(x) dollars, where
The first equation in a system of two equations is x - 2y = 10. The graph of the second equation does not intersect the first. Write a possible second equation for the system and explain your answer. (Note: There are multiple equations that will ..
Let φ be a c-admissible s - t ?ow of value k and suppose there is a c-admissible ?ow with value > k. Does it follow that there is a c- admissible ?ow ψ of value > k so that φ(e) ≤ ψ(e) for every edge e?
what is the measure of the angle between the end of the shadow and the vertical side of the building? (Assume the person's eyes are level with the top of the building.)
Using the Die class defined in this chapter, write a class called PariOfDice, composed of two Die objects. Include methods to set and get the individual die values, a method to roll the dice, and a method that returns the current sumof the two die..
a security camera is mounted 9 feet above the floor. what angle of depression should be used if the camera is to be
The symmetric group S_3 operates on two sets U and V of order 3. Decompose the product set U x V into orbits for the "diagonal action" g(u, v) = (gu, gv), when.
the following data represents the number of points scored by players on a high school basketball team this
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