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Researchers in England investigated reasons why different species of birds begin to sing at different times of the morning. They captured and examined birds of 57 species at different sites around England. They reported that there was a strong relationship between the diameter of a bird's eye and the time it started singing in the morning: birds with larger eyes tended to start singing earlier. Is this anecdotal evidence, an experiment or an observational study?
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
Hypothesis test for two differences between means
Use polar coordinates to evaluate the volume of the solid below the paraboloid (z= 4-x^2-y^2) and above the xy plane.
Find the test statistic
What size squares should be cut from each corner in order to maximize the volume of the box and what is the maximum volume of the box?
Concern the region bounded by: Find the volume of the solid obtained by rotating the region around the y-axis
A paper bag contains a mixture of three types of candy. There are ten gum balls, seven candy bars, and three packages of toffee. Suppose a game is played in which a candy is randomly taken from the bag
Calculate the value of the test statistic.
Standard normal probabilities. According to an article in The New York Times, 19.3% of New York City adults smoked in 2003. Suppose that a survey is conducted this year.
Suppose u(x, y) and v(x, y) are harmonic in a region under? Under what condition is the product u(x, y) . v(x, y) harmonic? In particular, when is (u^2)(x, y) harmonic?
A rectangular storage unit has dimensions 1m by 2m by 3m. If each linear dimension is increased by the same amount. What increase would result in a new storage unit with a volume 10 times the original?
The objective is to minimize the sum of the completion times of all the jobs. Provide an integer programming formulation for this problem.
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