Newton-raphson method
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?
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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?
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.
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:
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Supposing an exponential failure time distribution, develop a 95% confidence interval for the mean time between failures of the capacitors. Interpret the interval.
Determine a number alpha (which depends upon the data you observe) so that owners can (truthfully) say that "99% of our donuts have less than the grams of fat".
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