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1. The diameter and height of right circular cylinder are found at a certain instant to be 10 centimeters and 20 centimeters, respectively. If the diameter is increasing at the rate of 1 centimeter per second, what change in height will keep the volume constant?
2. Water is poured into a conical container, vertex down, at rate of 2 cubic feet per minute. The container is 6 feet deep and the open end is 8 feet across. How fast is the level of the water rising when the container is half full?
Find an expression for the surface area - where S is the unit sphere centred at the origin.
Every third person entering a large fitness complex was surveyed, with a total of 2,500 people being surveyed. The data showed that the mean number of hours spent exercising was 3.2 hours per week. Which characteristic of the survey could create a..
An average computer mouse inspector can inspect 45 mice per hour. The 42 computer mice inspectors at a particular factory can only inspect 40 mice per hour with a standard deviation of 8. Does the company have reason to believe that these inspector..
Show that T is a linear transformation.
A certain plane can fly 210 mph in calm air. If the plane can travel 540 miles against the wind in the same amount of time it can travel 810 miles with the wind, then what is the rate of the wind?
calculate the outward flux of F across the boundary dOmega
find the domain of the function and express the answer in interval notation. explain in words or show the
Beth, Bill, and Eddie together work 6 hours. Then, Bill and Eddie do it in 9. Beth, Bill, and Eddie work 3 hours together. Beth and Bill spent 6 hours more. How long would it take Beth to do the house by herself? Eddie to do the house by herself? ..
What is the maximum height attained by the projectile? Show some work.
what is the probability that it is defective?
Suppose the mean SAT score for a students admitted to a university is 1000, with a standard deviation of 200. Suppose that a student is selected at random. If the scores are normally distributed, find the probability (percentage) that the student's S..
The x-intercept of the graph of f(x) = 3log(x-5) + 2 is: A: 10^2/3 -5
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