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January 400 hours, February 300, March 200, April 600, May 800, June 300, July 200, August 400, September 300, October 200, November 100, December 300. Each judge works all 12 months and can handle at most 120 hours of casework per month. To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many Judges the city needs.
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
Consider the following elements of the vector space P3 of all polynomials of degree less than or equal to 3. p(x)= x-1, q(x)=x+x2, r(x)= 1+x2-x3
Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. What is the minimal polynomial of sqrt2+ sqrt3? Which subfields does it generate over Q?
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
Mary and Tom park their cars in an empty parking lot with n≥2 consecutive parking spaces (i.e, n spaces in a row, where only one car fits in each space). Mary and Tom pick parking spaces at random. (All pairs of parking spaces are equally likely.)..
Simplify the logarithmic expressions by using logarithmic properties - Simplify the provided logarithmic expressions
How would the construction of the Lebesgue measure in R2 change if we assume at the beginning that the measure of the unit square [0, 1]Ã?[0, 1] is =2?
Use Taylor's expansion to arrange the function in ascending order - explain briefly how the Taylor expansions tell you what order the functions
The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.
Sketch the region bounded by the graph of the functions and find the area of the region.
Draw a scalene triangle and label the vertices, A,B, AND C. The side opposite vertex A is line segment BC. Find the midpoint of line segmentBC by constructing the bisector of line segmrnt BC. label the midpoint M.
Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first quadrant is bisected at P.
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