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A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
Suppose that a "skew" product of vectors in R2 is defined by (u,v)=u1v1-u2v2. Prove that (u,v)squared >equal too (u,u)(v,v). (NOTE; This is just the reverse of the Cauchy- Schwartz inequality for the ordinary dot product.)
Independent measures research study.
Suppose a bullet is fired on a distant planet so that its height (in feet) after t seconds is given by h=-4t2 + 16t +5. The 2 in 4t2 is a small 2, but I don't know how to do that with my keyboard.
I want to prove that a population mean is not 150. Use an alpha of 5 percent & set up the full, detailed, five step hypothesis test. Suppose when the sample 200 is taken the sample standard deviation is ten & the sample mean is 151.77.
Calculate the mean of this sampling distribution
The supply curve for Florida is P = (1/3)Q. The supply curve for Oregon is P = 3 + (1/3)Q. What values of P and Q solve both these equations?
Determine q such that the system-Has no solution
Use a triple integral to find the volume of the given solids. The tetrahedron bounded by the coordinate planes and the plane
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
Determining the maximum area of a Norman window with the fixed perimeter of 16 feet - Evaluate the dimension of a Norman window of maximum area if the total perimeter is 16 feet.
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
To test this claim, a psychologist administers the WISC (an IQ score for children) to a group of students before and after completing the training program. Analyze the data to test the entrepreneur's claim
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