Greatest common divisor of the integers
Prove that the greatest common divisor of the integers a and b is the same as the greatest common divisors of the integers a-b and b.
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Let the dihedral droup Dn be given by element the of order n and b of order 2, where ba = a^1b. Describe that any subgroup of cyclic group generated by a is normal in Dn.
Describe that the system has two equilibriam and find the linearizations of this system around those points. Calculate and plot the solution of both the linear and nonlinear system.
A ladder 20 feet long is placed against a wall. if the distance on the ground from the wall to the ladder is 12 feet , how many feet up the wall does the ladder reach?
Illustrate a relation R on X by xRy iff f(x)=f(y). Determine the equivalence classes?
Please apply the Newton-Raphson method to obtain an iterative procedure for finding a^(1/3), for any real a. For which x^0 does the method converge?
For each of following degree sequences, price that the simple graph with 7 vertices exists or doesn't exist by either drawing such a graph or showing mathematically that such graph is impossible:
Determine the probability that the shopper selected at random made a purchase? Determine the odds that a shopper chosen at random was satisfied with the service?
Supposing an exponential failure time distribution, develop a 95% confidence interval for the mean time between failures of the capacitors. Interpret the interval.
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