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Suppose that f (x) is a degree 4 polynomial with coefficients in a field F, and let K be the splitting field of f (x). What are the possible values for [K : F]?
What is the annual compound interest rate for an investment modeled by the function y=12*1.18x?
Use polar coordinates to evaluate the volume of the solid below the paraboloid (z= 4-x^2-y^2) and above the xy plane.
The person is a constant 93 feet away from the balloon's starting point and the angle that the rope makes with the ground increases at a rate of 0.01 radians/minute. How fast is the balloon rising when the angle is 0.6 radians?
Test whether there is negative correlation between math skill and English skill using Spearman's rank correlation coefficient
test each of the individual coefficients to see if they are significant. make a plot of the residuals and comment on whether they appear to follow a normal distribution. Plot the residuals versus the fitted values. do they seem to have the same am..
The life span of a battery is normally distributed, with a mean of 2400 hours and a standard deviation of 50 hours. What persent of batteries have a life span that is more than 2455 hours?
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
Prove that the set of interior points of a set A is equal to the union of open sets O, such the O is a subset of A
Identifying and Recognizing Variations in Sets, I am currently working on sets and how to identify/recognize variations based on symbols. Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?
A Midwestern company that produces a particular machine component has 3 factories, one each in Chicago, Cleveland, and St. Louis. 50% of the components produced come from the Chicago factory
Inside a semicircle tunnel of the diameter 30 feet, a vertical support beam is placed 4 feet from the side of the tunnel. How tall is the beam?
You are designing a rectangular poster to contain 128 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
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