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if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3
prove that every non-trivial ingetral solution (x,y,z)of the diophantine equation Xsquare +Ysquare=Zsquare satisfies gcd(x,y)=gcd(x,z)=gcd(y,z)
max z=3x1+2x2 s.t x1+2x2 3x1+2x2>=6 x1+4x2 x1,x2,x3>=0
236+2344+346=
New England University maintains a data warehouse that stores information about students, courses, and instructors. Members of the university's Board of Trustees are very much inte
solve for k such that the system 4x+ky=6 kx+y=-3
3+5
In a certain class, one half of the male students and two thirds of the female students speak French. If there are three fourths as many girls as boys in the class. What fraction o
A bag holds 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability in which the marble chosen is blue? The probability of blue
Evaluate following limits. Solution: Let's begin this one off in the similar manner as the first part. Let's take the limit of each piece. This time note that since our l
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